215 guides • Formula in plain words • Reviewed September 2026

Calculator Guides & How-To Articles

Each guide is the judgement layer for a calculator: the formula in words, a worked example, and the next tool in the job. Use the matching calculator when you want the number.

Finance & money guides

103 guides

Mortgages, debt, student loans and saving. Each guide explains the formula in words, works an example and points to the matching calculator.

Stamp duty table by property price in England
UK property tax3 min read
Stamp Duty by Property Price: £100,000 to £2 MillionStamp duty (SDLT) at every price from £100,000 to £2 million: main home, first-time buyer, second home and non-UK resident, England and NI, 2026.Read the guide
Stamp duty on a £1 million property in England
UK property tax3 min read
Stamp Duty on £1 million: What You Pay in 2026Stamp duty on a £1 million property in England & NI: £43,750 as a main home, no first-time buyer relief at this price, £93,750 as a second home, with the...Read the guide
Stamp duty on a £750,000 property in England
UK property tax3 min read
Stamp Duty on £750,000: What You Pay in 2026Stamp duty on a £750,000 property in England & NI: £27,500 as a main home, no first-time buyer relief at this price, £65,000 as a second home, with the...Read the guide
Stamp duty on a £550,000 property in England
UK property tax3 min read
Stamp Duty on £550,000: What You Pay in 2026Stamp duty on a £550,000 property in England & NI: £17,500 as a main home, no first-time buyer relief at this price, £45,000 as a second home, with the...Read the guide
Stamp duty on a £500,000 property in England
UK property tax3 min read
Stamp Duty on £500,000: What You Pay in 2026Stamp duty on a £500,000 property in England & NI: £15,000 as a main home, £10,000 for first-time buyers, £40,000 as a second home, with the band-by-band...Read the guide
Stamp duty on a £430,000 property in England
UK property tax3 min read
Stamp Duty on £430,000: What You Pay in 2026Stamp duty on a £430,000 property in England & NI: £11,500 as a main home, £6,500 for first-time buyers, £33,000 as a second home, with the band-by-band...Read the guide
Stamp duty on a £180,000 property in England
UK property tax3 min read
Stamp Duty on £180,000: What You Pay in 2026Stamp duty on a £180,000 property in England & NI: £1,100 as a main home, £0 for first-time buyers, £10,100 as a second home, with the band-by-band working.Read the guide
Stamp duty on a £150,000 property in England
UK property tax3 min read
Stamp Duty on £150,000: What You Pay in 2026Stamp duty on a £150,000 property in England & NI: £500 as a main home, £0 for first-time buyers, £8,000 as a second home, with the band-by-band working.Read the guide
Balance transfer versus paying down
How-to4 min read
Balance Transfer vs Paying Down a Credit Card: Fee vs InterestMoving $5,000 off a 24.99% card for 18 months costs a $150 to $250 fee against about $1,047 of interest if you keep paying it down. See when a transfer wins.Read the guide
Credit card payoff chart by timeline
How-to4 min read
Credit Card Payoff Chart: Monthly Payment Needed by Balance and TimelineTo clear $5,000 at 24.99% APR in 24 months you need about $266.83 a month. See the payment for balances from $2,500 to $20,000 over 12 to 60 months.Read the guide
How credit card interest is calculated
How-to4 min read
How Credit Card Interest Is Calculated: Daily Periodic Rate ExampleCard interest uses APR ÷ 365 on your daily balance. At 24.99% that is about 0.0685% a day, or $102.70 over 30 days on $5,000. See the formula and a monthly interest...Read the guide
Credit card minimum payment payoff time
How-to4 min read
Credit Card Minimum Payment: Formulas and How Long Payoff TakesOn $5,000 at 24.99% APR, a 1% plus interest minimum takes 236 months and costs about $9,278 in interest. Compare three minimum formulas with fixed payments.Read the guide
Long commute versus higher salary
How-to4 min read
Long Commute vs Higher Salary: Comparing Job OffersA $6,000 raise with a 30-mile commute instead of 10 miles leaves about $3,921 after fuel and wear, for 240 extra hours. See how to compare offers.Read the guide
Commute hours per year
How-to4 min read
Commute Time: Hours Per Year and What It Costs YouA 45-minute one-way commute is 360 hours a year, or 9 forty-hour work weeks. See hours by commute length and what that time is worth at $20 to $45 an hour.Read the guide
Cost per mile to drive compared
How-to4 min read
Cost Per Mile to Drive: AAA vs IRS vs Fuel OnlyAAA puts the average new vehicle at about 86 cents a mile in 2026, the IRS rate is 76 cents, and fuel alone is about 12 cents. See which to use for your commute.Read the guide
How to calculate commute cost
How-to4 min read
How to Calculate Commute Cost: Formula and ExamplesAn 18.5-mile each-way commute at 28.5 MPG and $3.55 gas costs about $160.26 a month in fuel and wear. See the formula and yearly cost by distance.Read the guide
Sales commission structures explained
How-to4 min read
Sales Commission Structures: Flat, Tiered, Quota and Base Plus CommissionA $150,000 month at 5% to a $100,000 quota and 8% above pays $9,000. Compare flat, tiered, quota and base-plus-commission plans with examples.Read the guide
PayPal fee calculator
How-to4 min read
PayPal Fee Calculator: What You Pay and What to ChargePayPal lists 3.49% + $0.49 for US checkout payments, so a $100 sale costs $3.98. To receive $100 you would charge about $104.12.Read the guide
eBay fees calculator examples
How-to4 min read
eBay Fees Calculator: Final Value Fee ExamplesFor most US categories eBay charges 13.6% up to $7,500 plus $0.40 per order, so a $100 sale costs $14.00. See examples for $8 to $10,000.Read the guide
Real estate commission calculator guide
How-to4 min read
Real Estate Commission: Splits and Take-Home PayA $400,000 sale at 3% earns $12,000 in commission, or $8,400 on a 70/30 split. See commission by price, rate and split, with a per-deal fee example.Read the guide
Car lease fees explained
How-to4 min read
Car Lease Fees and End-of-Lease Charges ExplainedThe default lease has $1,290 of fees: $895 at signing and $395 at return. Learn the common lease fees and how they add to the $24,978 total.Read the guide
Lease vs buy a car comparison
How-to4 min read
Lease vs Buy a Car: Total Cost ComparisonOn a $44,500 car over 36 months, leasing costs about $24,978 in cash and buying nets out near $23,445. See the full comparison and assumptions.Read the guide
Money factor to APR conversion chart
How-to4 min read
Money Factor to APR Conversion ChartMultiply a money factor by 2,400 to get the APR. A 0.00225 money factor equals 5.4%. See a chart from 0.001 to 0.003 with the effect on a lease payment.Read the guide
How to calculate a car lease payment
How-to4 min read
How to Calculate a Car Lease Payment, Step by StepA $44,500 car with a 56% residual, 36 months and a 0.00225 money factor costs $544.95 a month before tax. Learn the formula and what moves the payment.Read the guide
New vs used car depreciation
How-to4 min read
New vs Used Car Depreciation: Which Costs Less Per Year?A $38,500 new car loses about $11,665 (30%) in its first two years and $7,272 over the next three. See why a 2-year-old car costs less per year.Read the guide
Negative equity on a car loan
How-to4 min read
Negative Equity on a Car Loan: When You Owe More Than It's WorthWith no down payment on an 84-month loan, a $38,500 car can leave you $2,403 underwater after one year. See how down payment and term change it.Read the guide
How long until a car loses half its value
How-to4 min read
How Long Until a Car Loses Half Its Value?At 15% a year a car loses half its value in about 4.3 years. At 20% it takes 3.1 years and at 10% it takes 6.6 years. See the table and the formula.Read the guide
Car depreciation formula
How-to4 min read
Car Depreciation Formula: Declining Balance vs Straight-LineAt 15% a year, a $30,000 car is worth $13,311 after 5 years by declining balance and $7,500 by straight-line. Learn both formulas and when to use each.Read the guide
48 vs 60 vs 72 month car loan
How-to4 min read
48 vs 60 vs 72-Month Car Loan: What You Can AffordOn a $24,000 loan at 6.5%, 72 months costs $5,048 in interest against $3,320 at 48 months. Compare payment, interest and buying power by term.Read the guide
How much down payment for a car
How-to4 min read
How Much Down Payment for a Car?A 20% down payment on a $30,000 car is $6,000. Compare 0%, 10%, 20% and 30% down on payment, interest and the balance after one year.Read the guide
The 20/4/10 rule for buying a car
How-to4 min read
The 20/4/10 Rule for Buying a Car, With ExamplesThe 20/4/10 rule means 20% down, a loan of 4 years or less and total car costs under 10% of income. A $30,000 car needs about $8,700 a month of income.Read the guide
How much car can I afford based on income
How-to4 min read
How Much Car Can I Afford Based on Income?With $5,000 a month take-home, a 10% car budget leaves a $200 loan payment, or about $8,433 of loan over 48 months at 6.5%. See the numbers by income.Read the guide
CD ladder plus HYSA savings split
How-to4 min read
CD Ladder Plus HYSA: How to Split Your SavingsKeep an emergency fund in a HYSA and the rest in a five-rung CD ladder. With example rates, $50,000 split this way earns $2,040 in year one, a 4.08% blended yield.Read the guide
Savings account types compared
Explained4 min read
Savings Account Types Compared: HYSA, CD, Money MarketCompare high-yield savings, CDs, money market accounts and traditional savings on rate type, access, penalties, insurance and best use.Read the guide
Break a CD early for a higher HYSA rate
How-to4 min read
Should You Break a CD Early for a Higher HYSA Rate?Break a $10,000 4.50% CD after 6 months with a 90-day penalty and move to a 5.00% HYSA, and you end $40.92 behind. The HYSA would need about 5.26% to break even.Read the guide
CD versus high-yield savings earnings when rates fall
Explained4 min read
How Falling Rates Change CD vs HYSA EarningsOn $10,000 for 24 months, a 4.50% CD earns $920.25. A HYSA starting at 4.00% earns $816.00 if the rate holds, $716.48 if it falls 0.5 point a year and $617.25 if it...Read the guide
CD interest tax and after-tax return
Explained4 min read
Are CDs Taxable? CD Interest Tax and After-Tax ReturnCD interest is taxed as ordinary income. On $450 of interest, a 24% federal bracket takes $108, leaving $342 and an after-tax yield of 3.42%.Read the guide
CD early withdrawal penalty calculation
How-to4 min read
CD Early Withdrawal Penalty: How It Works and How to Calculate ItMost CD penalties are a set number of days of interest. On $10,000 at 4.50%, 90 days costs about $110.96 and 180 days about $221.92.Read the guide
CD APY versus interest rate and compounding
Explained4 min read
CD APY vs Interest Rate and Compounding FrequencyA 5.00% CD rate compounded daily is a 5.1267% APY and earns $10,512.67 on $10,000 in a year, against $10,500.00 with annual compounding.Read the guide
CD interest formula with worked examples
How-to4 min read
How to Calculate CD Interest: Formula and ExamplesCD maturity value = deposit × (1 + APY)^years. A $10,000 CD at 4.50% APY earns $450 in 12 months, $920.25 in 24 months and $2,461.82 in 60 months.Read the guide
Savings rate and emergency fund target
How-to4 min read
How to Calculate Your Savings Rate and Emergency Fund TargetSavings rate = amount saved ÷ take-home income. Saving $400 from $5,200 is 7.7%; the 50/30/20 target of $1,040 is 20%. An emergency fund of 3 to 6 months of needs is...Read the guide
Paycheck to monthly income conversion
How-to4 min read
Weekly and Bi-Weekly Paycheck to Monthly Budget: ConversionMonthly income = weekly pay × 52 ÷ 12 or bi-weekly pay × 26 ÷ 12. A $1,000 weekly paycheck is $4,333.33 a month, not $4,000, and a 50/30/20 budget on it is $2,166.67,...Read the guide
Needs, wants and savings categories for a budget
Comparison4 min read
Needs vs Wants vs Savings: What Counts in a BudgetNeeds are essentials such as rent, groceries and minimum debt payments; wants are discretionary such as dining out and subscriptions; extra debt payments, emergency...Read the guide
50/30/20 budget rule with examples
How-to4 min read
How to Use the 50/30/20 Budget Rule: Examples and VariationsThe 50/30/20 rule splits take-home pay into 50% needs, 30% wants and 20% savings and extra debt payoff. On $5,200 a month that is $2,600, $1,560 and $1,040....Read the guide
Margin versus markup conversion chart
Comparison4 min read
Margin vs Markup: Difference, Formulas and Conversion ChartMargin is profit ÷ price; markup is profit ÷ cost. A 40% margin needs a 66.7% markup, while a 40% markup gives only a 28.6% margin. Cost $100 sold at $150 is a 33.3%...Read the guide
Contribution margin formula and ratio
Explainer4 min read
Contribution Margin: Formula, Ratio and ExamplesContribution margin = price − variable cost. At $65 and $24.50 it is $40.50 a unit, a 62.31% ratio. Break-even revenue is fixed costs ÷ ratio: $12,500 ÷ 0.6231 = $20,062.Read the guide
Break-even ROAS and ACoS formula and table
How-to4 min read
Break-Even ROAS and ACoS: Formula, Table and ExamplesBreak-even ROAS = price ÷ (price − variable costs) = 1 ÷ contribution margin. A 40% margin needs ROAS 2.50 to break even; for a 10% profit it needs 3.33. Break-even...Read the guide
Break-even point formula with worked example
How-to4 min read
How to Calculate the Break-Even Point: Formula and ExamplesBreak-even units = fixed costs ÷ (price − variable cost). With $12,500 fixed costs, a $65 price and $24.50 variable cost, you need 309 units ($20,085 revenue); a...Read the guide
How Series EE and I savings bond values work
Explainer4 min read
Savings Bond Price Calculator: How EE and I Bond Values WorkSavings bonds are valued by rules, not market yield. EE bonds issued May–Oct 2026 earn 2.40% and double in 20 years; I bonds earn 4.26% (0.90% fixed + 1.67%...Read the guide
Zero-coupon bond price formula and example
How-to4 min read
Zero-Coupon Bond Price: Formula and ExampleA zero-coupon bond price = face value ÷ (1 + y/m)^n. A $1,000 zero maturing in 10 years at a 4% yield with semi-annual compounding costs $672.97; with annual...Read the guide
Bond duration and convexity with examples
Explainer4 min read
Bond Duration and Convexity Explained With ExamplesModified duration estimates the % price change for a 1-point yield move. A 5% 10-year bond at a 6% yield has Macaulay duration 7.89, modified 7.67; a 1-point rise is...Read the guide
Bond premium, discount and par compared
Comparison4 min read
Bond Premium vs Discount vs Par: How Price and Yield RelateIf market yield is above the coupon rate a bond trades at a discount; below it, at a premium; equal, at par. A 5% 10-year bond costs $1,081.76 at a 4% yield, $1,000...Read the guide
Bond price formula with a worked example
How-to4 min read
How to Calculate a Bond Price: Formula and Worked ExampleBond price = PV of coupons + PV of face value. A $1,000 bond with a 5% coupon, 10 years and semi-annual payments at a 6% yield is worth $925.61: $371.94 for the...Read the guide
Net worth growth projection over 20 years
Planning4 min read
How Fast Can Net Worth Grow? 10 and 20 Year ProjectionFrom $194,000 at 7%, adding $1,000 a month reaches $562,959 in 10 years and $1,304,442 in 20. See what saving does compared with growth alone.Read the guide
Assets and liabilities checklist for net worth
Basics4 min read
What Counts in Net Worth? Assets and Liabilities ChecklistA practical checklist of what to include when you calculate net worth: home equity, vehicles, retirement accounts, debts, and how to treat pre-tax balances.Read the guide
Expected net worth by age and income formula
Benchmarks4 min read
The Millionaire Next Door Net Worth Formula: Age x Income / 10Expected net worth = age x pre-tax income / 10. See the table for ages 30-60, the 2x prodigious and 0.5x under-accumulator thresholds, and the limits.Read the guide
Average and median US net worth by age group
Benchmarks4 min read
Average and Median Net Worth by Age in the US (2022 Data)Federal Reserve 2022 data: median net worth is $39,000 under 35 and $409,900 at 65-74. See median vs mean by age and why the median is the better benchmark.Read the guide
Business start-up cost amortization versus loan amortization
Business4 min read
Amortization vs Loan Amortization: Business Start-Up Costs ExplainedThe accounting meaning of amortization: how U.S. business start-up costs can be partly deducted and the rest amortized, and how it differs from loan amortization.Read the guide
Biweekly mortgage payments save about 94 thousand dollars
Mortgage4 min read
Biweekly Mortgage Payments: How Much Time and Interest Do You Save?How paying half your mortgage every two weeks pays a $320,000, 6.5% loan off in about 24 years and saves about $93,996, and how to do the same yourself.Read the guide
PMI cost by down payment and when it ends
Mortgage4 min read
PMI Cost and How to Remove It: 80%, 78% and the Midpoint RuleWhat PMI costs at 5%, 10% and 15% down on a $400,000 home, and the three rules that end it: request at 80%, automatic at 78%, and the loan midpoint.Read the guide
Four-year college cost projected 18 years ahead at 3 and 5 percent
Education savings4 min read
College Cost in 18 Years: Four-Year Projections at 3% and 5% InflationProject four years of college cost for a newborn at 3% and 5% yearly cost growth, by in-state, out-of-state, private and elite private, and what it means for monthly...Read the guide
529 to Roth IRA rollover lifetime limit 35000 dollars
Education savings4 min read
529 to Roth IRA Rollover: The Rules and a Worked TimelineHow the 529-to-Roth IRA rollover works: 15-year account rule, 5-year funds rule, $35,000 lifetime limit, annual Roth limit, and a year-by-year timeline.Read the guide
2026 529 plan limits including 20,000 dollar K-12 tuition
Education savings4 min read
529 Plan Rules for 2026: Qualified Expenses, Gift Limits and Withdrawals2026 529 plan rules: $20,000 K-12 tuition limit, credentialing expenses, $19,000 gift exclusion, $95,000 five-year election and non-qualified withdrawal tax.Read the guide
Extra loan payments shorten a 60 month loan to 47 months
Borrowing4 min read
How to Pay Off a Loan Faster: What Extra Payments SaveSee how $50, $100 or $200 extra a month shortens a $20,000, 7.5%, 60-month loan and cuts interest, with a table and tips for applying extra payments to principal.Read the guide
Effective APR with a 5 percent origination fee is 9.69 percent
Borrowing4 min read
Loan APR vs Interest Rate: What an Origination Fee Really CostsAPR vs interest rate on a loan, with a worked $20,000 example showing how 1%, 3%, 5% and 8% origination fees raise the effective APR, and how much to borrow to cover...Read the guide
Direct rollover versus a cheque paid to you
Retirement4 min read
401(k) Rollover When You Change Jobs: Options and the 60-Day RuleYour options for an old 401(k): leave it, roll it to the new plan or an IRA. How direct rollovers avoid the 20% withholding and the 60-day rule.Read the guide
401(k) employer match formulas compared at three contribution levels
Retirement4 min read
401(k) Employer Match: How Much to Contribute to Get It AllHow a 401(k) match works, with a side-by-side table of three common formulas on a $70,000 salary and the contribution that earns the full match.Read the guide
2026 401(k) contribution limits by age
Retirement4 min read
2026 401(k) Contribution Limits: Standard, Catch-Up and Super Catch-Up2026 401(k) limits: $24,500 employee deferral, $8,000 catch-up, $11,250 for ages 60-63, the $72,000 combined cap and the Roth catch-up rule for high earners.Read the guide
Depreciation recapture is taxed at up to 25 percent on a rental sale
Real estate tax4 min read
Depreciation Recapture When You Sell a Rental Property: How It WorksHow depreciation recapture is taxed when you sell a rental property, with a worked $850,000 sale example, the 25% maximum rate and how a 1031 exchange defers it.Read the guide
A qualified intermediary holds the sale proceeds in a 1031 exchange
Real estate tax4 min read
Qualified Intermediary for a 1031 Exchange: What It Does and How to ChooseWhat a qualified intermediary does in a 1031 exchange, who cannot serve as one, what can go wrong, and questions to ask before you hire.Read the guide
A 1 percent annual fee costs about 29,300 dollars over 20 years
Investing4 min read
How Investment Fees Affect Your Returns Over 20 YearsSee how a 0.1%, 0.5%, 1% or 2% annual fee changes a $10,000 portfolio with $300 monthly contributions after 20 years, with a worked table.Read the guide
Second home stamp duty is the standard rates plus 5 percent
UK property tax4 min read
Stamp Duty on a Second Home or Buy-to-Let: The 5% Surcharge ExplainedBuying a second home or buy-to-let in England or Northern Ireland? See the 5% SDLT surcharge, the £40,000 rule, worked examples and how to claim it back.Read the guide
ROI of 120 percent equals a CAGR of about 10.4 percent over 8 years
Investing4 min read
How to Calculate Investment Return: ROI vs CAGR With ExamplesCalculate investment return three ways: ROI, CAGR and real return after inflation, with worked examples and the effect of fees on a 20-year portfolio.Read the guide
1031 exchange: 45 days to identify and 180 days to close
Real estate tax4 min read
1031 Exchange 45-Day and 180-Day Rules: Deadlines Explained1031 exchange deadlines explained: the 45-day identification rule, the 180-day closing rule, the tax return cut-off, example dates and what happens if you miss them.Read the guide
Stamp duty return and payment are due within 14 days of completion
UK property tax4 min read
When Do You Pay Stamp Duty? UK Deadline, Late Penalties and RefundsStamp duty (SDLT) is due within 14 days of completion. See who pays, late filing penalties, how to reclaim the higher rates and the first-time buyer rules.Read the guide
Savings Goal Calculator Compound Interest worked example
Guide2 min read
Savings Goal Calculator Compound Interest: Worked Example and ScenariosSavings Goal Calculator Compound Interest: a worked example with the formula shown step by step, a year-by-year or scenario table, and the assumptions behind it.Read the guide
Calculate Student Loan Payoff worked example
Guide2 min read
Calculate Student Loan Payoff: Worked Example and ScenariosCalculate Student Loan Payoff: a worked example with the formula shown step by step, a year-by-year or scenario table, and the assumptions behind it.Read the guide
Percent Off Calculator worked example
Guide2 min read
Percent Off Calculator %: Worked Example and ScenariosPercent Off Calculator %: a worked example with the formula shown step by step, a year-by-year or scenario table, and the assumptions behind it.Read the guide
Auto Loan Calculator Amortization Schedule worked example
Guide2 min read
Auto Loan Calculator Amortization Schedule: Worked Example and ScenariosAuto Loan Calculator Amortization Schedule: a worked example with the formula shown step by step, a year-by-year or scenario table, and the assumptions behind it.Read the guide
Annuity Calculator Free Online worked example
Guide2 min read
Annuity Calculator Free Online: Worked Example and ScenariosAnnuity Calculator Free Online: a worked example with the formula shown step by step, a year-by-year or scenario table, and the assumptions behind it.Read the guide
Rent at 30 percent of a 60,000 dollar salary is about 1,500 dollars a month
Renting5 min read
How Much Rent Can I Afford? 30% Rule by SalarySpend no more than about 30% of gross income on rent: $1,500 a month on a $60,000 salary. See rent by salary, the 40x landlord rule and hidden costs.Read the guide
Spending 72,000 dollars a year needs about 1,800,000 dollars at a 4 percent withdrawal rate
Retirement6 min read
How Much Do I Need to Retire? The 25x Rule ExplainedSave 25 times your annual spending: $72,000 a year needs about $1,800,000 at a 4% withdrawal rate. See the table, where the rule comes from and its limits.Read the guide
A 75,000 dollar salary supports roughly a $272,000 home under the 28/36 rule with 20 percent down
Home buying6 min read
How Much House Can I Afford on a $75,000 Salary?The 28/36 rule suggests about $272,000 on a $75,000 salary with 20% down and no other debts. See the table by salary and a worked example.Read the guide
Saving 500 dollars a month reaches 10,000 dollars in 20 months
Savings goals5 min read
How Long Does It Take to Save $10,000? Monthly Plan ChartSaving $500 a month reaches $10,000 in 20 months. See how long it takes at other monthly deposits, and the deposit needed for any deadline.Read the guide
A 20 percent down payment on a 400,000 dollar house is 80,000 dollars
Down payment6 min read
How Much Down Payment Do You Need for a $400,000 House?20% down on a $400,000 house is $80,000; 3% is $12,000. See the loan, PMI and monthly payment at 3%, 5%, 10% and 20% down.Read the guide
An emergency fund of three to six months of essential expenses is the common guideline
Emergency fund5 min read
How Many Months of Expenses Should an Emergency Fund Cover?Most guidance suggests 3-6 months of essential expenses: $10,500-$21,000 on $3,500 a month. See targets by situation and a worked example.Read the guide
Refinancing 300,000 dollars from 7 to 6 percent with 6,000 dollars of closing costs breaks even in about 30 months
Refinancing6 min read
How Long Does It Take to Break Even on a Refinance?Divide closing costs by monthly savings: $6,000 of costs and $197 saved a month breaks even in about 30 months. Table by closing costs and rate drop.Read the guide
A 5,000 dollar credit card balance is paid off in 34 months at 200 dollars a month and 22 percent APR
Credit card payoff6 min read
How Long to Pay Off $5,000 Credit Card Debt? Payment Chart$5,000 at 22% APR takes 34 months at $200 a month and costs about $1,750 in interest. See payoff times for $100 to $500 payments.Read the guide
A 4.50 percent CD earns $450 in interest on 10,000 dollars in 12 months
Savings6 min read
CD vs High-Yield Savings Account: Which Earns More?A locked 4.50% CD earns $450.00 on $10,000 in a year; a savings account earns more only if its rate stays at or above the CD's. See the comparison and break-even rule.Read the guide
A 300,000 dollar loan at 6.5 percent over 30 years has a monthly payment of about 1,896 dollars
Formula breakdown5 min read
Monthly Mortgage Formula Explained SimplyLearn the monthly mortgage formula M = P[r(1+r)^n]/[(1+r)^n-1]. Worked $300,000 example, Excel PMT, taxes, PMI, and amortization.Read the guide
A 240,000 dollar loan at 6.5 percent over 30 years has a payment of about 1,517 dollars a month
Amortization6 min read
How to Calculate a Mortgage Payment Step by StepLearn how to calculate a mortgage payment step by step: the formula, a worked $240,000 example, an amortization schedule, and how rate, term and down payment change...Read the guide
A 240,000 dollar loan at 6.5 percent over 30 years is about 1,517 dollars a month
Mortgages6 min read
Mortgage Calculator Guide: Estimate Payments, Interest & AffordabilityLearn how to use a mortgage calculator to estimate monthly payments, total interest, loan affordability, down payments, taxes, insurance, and the effect of extra...Read the guide
The VA funding fee is 2.15 percent for first-time use with no down payment
Mortgages11 min read
VA Home Loan Calculator Guide: Funding Fee, Taxes & Monthly PaymentLearn how to calculate a VA home loan payment, including the VA funding fee, taxes, and insurance. See sample payments by home price and how down payment changes the fee.Read the guide
The avalanche method saves 178 dollars in interest compared with the snowball method on 14,700 dollars of debt
Debt strategy3 min read
Debt Avalanche vs. Snowball: Real Numbers on $14,700 in DebtAvalanche vs snowball with an actual worked example: three real debts, exact months, exact interest saved. Plus the 0% balance transfer breakeven math.Read the guide
Paying 300 dollars a month extra pays off a 400,000 dollar mortgage 7.8 years early
Mortgages & investing5 min read
Extra Mortgage Payments vs. Investing: The Real Math (2026)Should you pay extra on your mortgage or invest the difference? Worked numbers on a $400,000 loan, biweekly payment savings, PMI removal timing, and points breakeven...Read the guide
A 6,000 dollar debt paid at 250 dollars a month looks like 24 months before interest
Debt strategy8 min read
Debt Payoff Calculator Guide: How Payment Changes Your Debt-Free DateLearn how payment size, interest rate, and balance change your debt-free date. Use the CalculatePilot Debt Payoff Calculator to compare realistic payoff strategies...Read the guide
A debt-to-income ratio of 36 to 43 percent is a caution zone; above 43 percent is high risk
Debt2 min read
What Is a Good Debt-to-Income Ratio?A good DTI ratio is below 36%. Learn what debt-to-income ratio means, how to calculate front-end and back-end DTI, and what lenders actually look for.Read the guide
A 30,000 dollar student loan at 6.5 percent over 10 years is about 340 dollars a month
Student loans2 min read
How to Calculate Student Loan Payments (2026 Guide)Student loan payment formula explained. A $30,000 loan at 6.5% over 10 years = $340/month. Full breakdown by loan amount, rate, and term with payment tables.Read the guide
Four steps for SAVE plan borrowers to take before the deadline
US policy 20264 min read
SAVE Plan Borrowers Face a Deadline This Month — What It Means for Your PaymentA SAVE repayment plan deadline this month could raise monthly payments for federal student loan borrowers who don't switch plans in time. Here's what's happening and...Read the guide
Four steps to check whether refinancing a car loan saves money
Car loans8 min read
Car Loan Refinance Calculator Guide: Check If Refinancing Saves MoneyLearn how to use a car loan refinance calculator: gather your payoff balance and rate, compare a new offer, and read monthly savings versus total interest before you...Read the guide
An emergency fund for six months of 3,200 dollars of essential expenses is 19,200 dollars
Saving7 min read
Emergency Fund Calculator Guide: Build a Cash Reserve That Fits Your Real LifeUse an emergency fund calculator to set a practical savings target based on essential expenses, income stability, dependents, and unexpected costs.Read the guide
Four stages of 529 college savings by child age
Education planning5 min read
529 Calculator by Age: How Much Should You Save for College?Use a 529 calculator by age to estimate college savings growth, monthly contributions, future college costs, and funding gaps. Includes examples for different ages.Read the guide
A 529 plan growing to about $84,975 after 15 years with 250 dollars a month at 6 percent
Education planning2 min read
529 College Savings Calculator: Growth, Contributions & ExamplesLearn how a 529 college savings calculator estimates future value, monthly contributions, growth and college funding targets with practical examples.Read the guide
10,000 dollars at 5 percent compounded monthly grows to about 16,470 dollars in 10 years
Investing2 min read
How to Calculate Compound InterestCompound interest formula explained: A = P(1 + r/n)^(nt). Learn how to calculate compound interest with worked examples for savings, investments, and loans.Read the guide
A 100 dollar item at 25 percent off costs 75 dollars
Everyday money2 min read
Discount Calculator Guide: Calculate Sale Price & SavingsLearn how to calculate discounts, sale prices, and savings with simple percentage formulas and examples. Includes discount plus tax and reverse discount examples.Read the guide

Math & conversion guides

40 guides

Open these when a calculator gives you a number you still need to interpret, such as scientific notation, a triangle solution, a slope or a time zone.

Rectangular versus polar form
How-to4 min read
Rectangular vs Polar Form of Complex Numbers: Which to UseUse rectangular form to add and subtract complex numbers and polar form to multiply, divide, raise to powers and take roots. See (3+4i)(1−2i) done both ways.Read the guide
Roots of complex numbers
How-to4 min read
Square Root and nth Roots of Complex Numbers With De MoivreThe square roots of 3 + 4i are ±(2 + i). Learn how De Moivre's theorem gives all nth roots, with cube roots of 1 and 4th roots of 1 worked out.Read the guide
Complex number polar form examples
How-to4 min read
Complex Number Polar Form: Modulus and Argument With Examples3 + 4i has modulus 5 and argument 53.13°, so its polar form is 5∠53.13°. See the formulas, a conversion table and why atan2 beats arctan.Read the guide
Complex number operations examples
How-to4 min read
Complex Number Calculator: Add, Subtract, Multiply and Divide With Examples(3+4i) + (1−2i) = 4 + 2i, (3+4i)(1−2i) = 11 − 2i and (3+4i) ÷ (1−2i) = −1 + 2i. Step-by-step rules and worked examples for all four operations.Read the guide
Equation of a circle
How-to4 min read
Equation of a Circle in Standard Form, With ExamplesThe equation of a circle is (x − h)² + (y − k)² = r². A circle of radius 5 at the origin is x² + y² = 25. See worked examples.Read the guide
Circumference of a circle formula
How-to4 min read
Circumference of a Circle From Diameter and RadiusCircumference = πd = 2πr. A diameter of 10 gives 31.42. To find the diameter from the circumference, divide by π. Formulas and examples.Read the guide
Square footage of a circle
How-to4 min read
How to Find the Square Footage of a CircleA circle with a 10 ft diameter covers 78.54 sq ft. Learn how to convert inches and metres and find the square feet of a round area.Read the guide
Area of a circle formula
How-to4 min read
Area of a Circle Formula, With ExamplesThe area of a circle is πr². A circle with radius 5 has an area of 78.54. Learn the formula from radius, diameter and circumference.Read the guide
Binomial experiment conditions and examples
How-to4 min read
Binomial Experiment: Four Conditions, With Examples and Non-ExamplesA binomial experiment needs a fixed number of trials, two outcomes, constant probability and independence. Test your situation with coin, dice, card and survey examples.Read the guide
binompdf versus binomcdf
Comparison4 min read
binompdf vs binomcdf: TI-84, Excel, R and Python Syntaxbinompdf(n, p, k) gives P(X = k) and binomcdf(n, p, k) gives P(X ≤ k). Excel uses BINOM.DIST(k, n, p, FALSE or TRUE). For n = 10, p = 0.5, k = 3: 0.117188 and 0.171875.Read the guide
Binomial mean, variance and standard deviation
Reference4 min read
Binomial Distribution Mean, Variance and Standard Deviation (With Examples)For X ~ Binomial(n, p): mean = np, variance = np(1 − p), standard deviation = √(np(1 − p)). Example: n = 100, p = 0.5 gives 50, 25 and 5.Read the guide
How to calculate binomial probability
How-to4 min read
How to Calculate Binomial Probability: Formula and Worked ExamplesP(X = k) = C(n, k) · p^k · (1 − p)^(n−k). Worked examples: 3 sixes in 12 rolls = 0.197396, 6 heads in 10 flips = 0.205078. Includes at-least and at-most cases.Read the guide
Binary to decimal to hex conversion chart
Reference4 min read
Binary to Decimal to Hex Conversion Chart (0–15) With ExamplesConvert binary to decimal by adding the place values of the 1 bits, and group bits in fours for hex. 101101 = 45 = 2D, and 11111111 = 255 = FF. Includes a 0–15 chart.Read the guide
Two's complement explained
How-to4 min read
Two's Complement Explained: Negative Binary Numbers With ExamplesTwo's complement writes negative numbers by flipping every bit and adding 1. -5 is 11111011 in 8 bits. See ranges, subtraction by addition and how to read a negative...Read the guide
Binary arithmetic worked examples
How-to4 min read
Binary Addition, Subtraction, Multiplication and Division: Worked ExamplesAdd, subtract, multiply and divide binary numbers by hand with carries and borrows. Examples: 1011 + 0110 = 10001, 1011 × 1101 = 10001111, 1101 ÷ 0100 = 11 remainder 1.Read the guide
How to use a binary calculator
How-to4 min read
How to Use a Binary Calculator: Arithmetic, Bitwise Logic and Word SizeA binary calculator adds, subtracts, multiplies and divides base-2 numbers inside a fixed word size. Learn inputs, overflow, bitwise gates, shifts and how to read the...Read the guide
Calculator memory keys explained
How-to4 min read
Calculator Memory Keys: M+, M−, MR and MC ExplainedM+ adds the screen to memory, M− subtracts it, MR recalls it and MC clears it. Worked example: 12.5 M+ then 7.5 M+ then MR shows 20.Read the guide
Left to right versus PEMDAS on a calculator
Comparison4 min read
Calculator Order of Operations: Left to Right vs PEMDASA basic calculator works left to right, so 2 + 3 × 4 gives 20. PEMDAS gives 14. See five examples, why they differ and how to force the right order.Read the guide
How to use the percent key on a calculator
How-to4 min read
How to Use the % Key on a Calculator: Tax, Discounts and TipsOn this calculator the % key divides by 100. So 80 × 15 % = gives 12, 851 × 106 % = adds 6% tax (902.06) and 200 × 85 % = takes 15% off (170).Read the guide
How to use a basic calculator
How-to4 min read
How to Use a Basic Calculator: Keys, Memory and Common MistakesA basic calculator works left to right: type a number, an operator, another number, then =. Learn C vs AC, the % key, square root, memory keys and the mistakes to avoid.Read the guide
Image to Base64 data URI size
How-to4 min read
Image to Base64 Data URIs: How Much Bigger Does It Get?Embedding an image as a Base64 data URI makes it about 33% bigger: a 10 KB image becomes 13,656 characters. When data URIs are worth it and when they are not.Read the guide
Base64url compared with standard Base64
Comparison4 min read
Base64url vs Standard Base64: Differences and Why JWTs Use ItBase64url swaps + and / for - and _ and usually drops = padding. Example: bytes FB FF FE are -__- in Base64url and +//+ in standard Base64.Read the guide
Fixing Base64 decode errors and padding
How-to4 min read
Base64 Decode Errors and Padding: Why It Fails and How to Fix ItBase64 decoding fails on invalid characters, wrong length, missing = padding or URL-safe vs standard mix-ups. Fix by cleaning input, padding to a multiple of 4 and...Read the guide
How Base64 encoding works
How-to4 min read
How Base64 Encoding Works (Step by Step, With Examples)Base64 turns every 3 bytes into 4 characters from a 64-character alphabet. 'Man' becomes TWFu, 'Ma' becomes TWE= and the output grows by about 33%.Read the guide
Area compared with perimeter
Comparison4 min read
Area vs Perimeter: What's the Difference? (With Examples)Area measures the surface inside a shape; perimeter measures the distance around it. Shapes with a 12 m perimeter can have areas of 5, 8, 9 or 11.46 m2.Read the guide
Area formulas for rhombus kite semicircle
Reference4 min read
Area of a Rhombus, Kite and Semicircle (Formulas and Examples)Rhombus and kite area = half the product of the diagonals; semicircle area = half of pi r squared. Worked examples: 24, 30 and 39.27.Read the guide
Square feet to square meters conversion
Conversion4 min read
Square Feet to Square Meters Conversion (and Back)1 square metre = 10.7639 square feet and 1 square foot = 0.0929 square metres. See the exact factors, a quick chart and acre and hectare conversions.Read the guide
Calculating area of an L-shaped room
How-to4 min read
How to Calculate the Area of an L-Shaped or Irregular RoomSplit the shape into rectangles, find each area and add them, or subtract the missing part. A 6 m x 4 m room with a 2 m x 2 m corner missing is 20 m2.Read the guide
Loan balance remaining after 5 10 15 and 20 years
Borrowing4 min read
How Much of Your Loan Is Paid Off After 5, 10 and 15 Years?On a $300,000, 6.5%, 30-year loan only 6.4% is repaid after 5 years. See the balance and principal paid at 5, 10, 15, 20 and 25 years and why.Read the guide
First payment of a 20000 dollar loan is 125 dollars interest
Borrowing4 min read
How Loan Amortization Works: Why Early Payments Are Mostly InterestHow an amortizing loan splits each payment into interest and principal, with the monthly payment formula and a worked $20,000, 7.5%, 60-month example.Read the guide
Percentage change equals new minus old divided by old times 100
Percentages5 min read
Percentage Calculator: Percent, IncreaseLearn how to calculate percentages, percentage increase and decrease, and find what percent one number is of another with worked examples.Read the guide
Three formulas cover most percentage calculations
Math baseline2 min read
How to Calculate Percentages — Complete Guide with ExamplesHow to calculate percentages: find X% of a number, percentage increase/decrease, and what percentage one number is of another. Formula and worked examples.Read the guide
12,345,678 written in words
Text and numbers2 min read
Number to Words Converter: How to Spell Numbers in WordsLearn how to convert numbers to words for checks, forms, invoices, and documents. See examples, rules, and common mistakes with a free number to words converter.Read the guide
Scientific notation writes a number as a times 10 to the power n
Powers of ten2 min read
Scientific Notation Calculator GuideLearn how to convert decimals to scientific notation and back. Understand coefficients, positive and negative exponents, formulas, and worked examples.Read the guide
A triangle with sides 5, 6 and 7 has angles of about 44.4, 57.1 and 78.5 degrees
Geometry3 min read
How to Find Angles of a Triangle from Side LengthsHow to find the angles of a triangle from side lengths using the Law of Cosines. Includes base angles, area formulas, triangle inequality, and a worked 5-6-7 example.Read the guide
Slope equals rise divided by run
Coordinate plane2 min read
Slope Calculator Guide: Formula & Slope Between Two PointsLearn how to calculate slope between two points using the slope formula. Covers positive, negative, zero, and undefined slopes with examples.Read the guide
Volume of a box equals length times width times height
Solids2 min read
Volume Calculator Guide: Formulas for Common ShapesLearn volume formulas for cubes, rectangular boxes, cylinders, spheres, cones, and other shapes with simple worked examples.Read the guide
arccos of negative one equals 180 degrees or pi radians
Trigonometry2 min read
Cos Inverse -1 = 180°Find cos inverse of -1 instantly: arccos(-1) = 180° = π radians. Learn why, see the unit-circle explanation, degree/radian forms, and use the trigonometry calculator.Read the guide
Five feet ten inches equals 177.8 centimeters
Conversion2 min read
Height Calculator Guide: Feet, Inches & CM ConversionLearn how to convert height between feet, inches, centimeters, and meters with simple formulas, examples, and a height conversion table.Read the guide
Local time equals UTC time plus the UTC offset
Time zones2 min read
UTC Time Converter Guide: Convert UTC to Local TimeLearn how UTC works, how to convert UTC to local time, calculate UTC offsets, and understand the difference between UTC and GMT.Read the guide

Health & everyday guides

59 guides

BMI is a screening tool, not a diagnosis. The car and moving-cost guides explain how the estimate is worked out.

Concrete bags versus ready-mix
How-to4 min read
Concrete Bags vs Ready-Mix: When to Order a TruckOne cubic yard is 45 bags of 80 lb mix, about 3,600 lb to mix by hand. Compare bags and ready-mix by volume, effort and consistency to decide when to order a truck.Read the guide
Concrete volume formulas
How-to4 min read
Concrete Volume Formulas for Slabs, Footings, Columns and StepsSlab: L × W × T ÷ 27. Round column: π × (d ÷ 24)² × h. Steps: width × run × rise × n(n+1) ÷ 2. Formulas with examples, plus ft³, yd³ and m³ conversions.Read the guide
Concrete slab cubic yards by size
How-to4 min read
Concrete Slab Calculator: Cubic Yards for Common Slab SizesA 12 × 12 ft slab at 4 in needs 1.78 yd³, or 1.96 yd³ with 10% waste. See cubic yards for six slab sizes at 4, 5 and 6 inches, and the area one yard covers.Read the guide
How many bags of concrete in a cubic yard
How-to4 min read
How Many Bags of Concrete in a Cubic Yard? 80, 60 and 50 lb BagsA cubic yard needs about 45 bags of 80 lb concrete, 60 bags of 60 lb or 72 bags of 50 lb. See bags for 0.5 to 10 yd³, plus post holes and footings.Read the guide
Should you eat back exercise calories
How-to4 min read
Should You Eat Back Exercise Calories?Eating back all your exercise calories can erase a deficit. See two methods, a worked example with a 391-calorie run, and how to avoid counting twice.Read the guide
MET values chart for common activities
How-to4 min read
MET Values Chart for Common ActivitiesMET values for 22 common activities, from yoga at 2.3 to fast swimming at 9.8, with intensity bands and calories burned in 30 minutes.Read the guide
Calories burned running vs walking per mile
How-to4 min read
Calories Burned Running vs Walking Per MileA 75 kg person burns about 122 calories per mile running at 6 mph and about 100 walking at 3 mph. See per-mile and per-minute numbers by weight.Read the guide
Calories burned walking
How-to4 min read
Calories Burned Walking: Per Mile, Per Hour and 10,000 StepsA 75 kg person walking at 3 mph burns about 100 calories a mile and about 299 an hour. See the numbers by weight and pace, and what 10,000 steps burn.Read the guide
Net calories explained
How-to4 min read
Net Calories Explained: Food Minus ExerciseNet calories are calories eaten minus calories burned in exercise. Eating 2,000 and burning 350 gives a net of 1,650. See how net differs from a deficit.Read the guide
Activity level multipliers for calorie needs
How-to4 min read
Activity Level Multipliers: Which One to Choose for Calorie NeedsThe five activity multipliers run from 1.2 to 1.9 and can change your calorie estimate by over 1,200 calories. See how to choose the right one.Read the guide
Calorie surplus for weight gain guide
How-to4 min read
Calorie Surplus for Weight Gain: How Many Calories to AddAdding 250 to 500 calories above maintenance is a common range for gradual weight gain. Learn how to work out your surplus and daily target.Read the guide
Calorie deficit calculator guide
How-to4 min read
Calorie Deficit Calculator: How to Work Out Your DeficitA 500-calorie daily deficit is about 0.45 kg (1 lb) of weight loss a week. Learn how to calculate your calorie deficit and daily target with examples.Read the guide
Body frame size compared with body type and body shape
Comparison4 min read
Body Frame Size vs Body Type: Ectomorph, Mesomorph and EndomorphFrame size (small, medium, large) describes skeletal build from wrist and height. Ectomorph, mesomorph and endomorph are informal physique labels, and body shape...Read the guide
Hamwi formula ideal weight adjusted for body frame size
Explainer4 min read
Body Frame Size and Ideal Weight: The Hamwi Formula ExplainedHamwi: men 106 lb for 5 ft plus 6 lb per inch, women 100 lb plus 5 lb per inch, then ±10% for small or large frame. A man 5′10″ is 166 lb medium, 149.4 lb small,...Read the guide
Wrist size chart for small, medium and large body frame
Reference4 min read
Wrist Size Chart for Small, Medium and Large Frame (Men and Women)The MedlinePlus wrist chart in inches and cm: women 5′2″–5′5″ are small under 6″ (15.24 cm), medium 6–6.25″ and large over 6.25″ (15.88 cm); men over 5′5″ are medium...Read the guide
Measuring wrist circumference to find body frame size
How-to4 min read
How to Measure Your Wrist and Find Your Body Frame SizeMeasure your wrist at the narrowest point just below the wrist bone, divide your height by it, and compare with the cut-offs: men small above 10.4, large below 9.6;...Read the guide
Fat mass and lean mass from body fat percentage
How-to4 min read
Fat Mass, Lean Mass and Target Weight From Body Fat PercentageFat mass = weight × body fat %. Lean mass = weight − fat mass. An 80 kg person at 25% has 20 kg fat and 60 kg lean; at 20% with the same lean mass they would weigh 75 kg.Read the guide
Body fat percentage versus BMI
Comparison4 min read
Body Fat Percentage vs BMI: Which Is Better?BMI uses height and weight only, so it cannot tell muscle from fat. Body fat percentage can, but it has its own error. A man aged 30, 178 cm, 80 kg has a BMI of 25.2...Read the guide
Jackson-Pollock 3-site skinfold formula
Reference4 min read
Jackson-Pollock 3-Site Skinfold Body Fat Formula ExplainedThe Jackson-Pollock 3-site method turns three skinfold readings and age into body density, then body fat with the Siri equation. Example: a man aged 30 with 60 mm...Read the guide
How to calculate body fat percentage with the Navy method
How-to4 min read
How to Calculate Body Fat Percentage With the U.S. Navy MethodThe Navy method estimates body fat from neck, waist, hip and height. Example: waist 90 cm, neck 38 cm, height 178 cm gives 20.1% for a man. Formulas and steps included.Read the guide
How to measure blood pressure at home
How-to4 min read
How to Measure Blood Pressure at Home Accurately (Step by Step)For an accurate home reading rest 5 minutes, sit with your back supported and feet flat, keep your arm at heart level, avoid caffeine for 30 minutes and take two or...Read the guide
Hypertensive crisis blood pressure and what to do
Safety4 min read
Hypertensive Crisis: Blood Pressure Above 180/120 and What to DoA reading higher than 180 systolic and/or 120 diastolic is severe hypertension. Wait a minute and measure again; with symptoms such as chest pain or numbness, call 911.Read the guide
Stage 1 versus stage 2 hypertension
Comparison4 min read
Stage 1 vs Stage 2 Hypertension: Blood Pressure Numbers ComparedStage 1 hypertension is 130–139 systolic or 80–89 diastolic. Stage 2 is 140 or higher or 90 or higher. See examples and why 180/110 is still stage 2.Read the guide
Blood pressure chart and categories
Reference4 min read
Blood Pressure Chart: Normal, Elevated, Stage 1 and Stage 2 ExplainedBlood pressure categories by AHA chart: normal is under 120/80, elevated 120–129 and under 80, stage 1 is 130–139 or 80–89, stage 2 is 140+ or 90+. See how to read yours.Read the guide
BMR by age chart
Reference4 min read
Average BMR by Age: How Resting Metabolism Changes (Chart)BMR falls 5 kcal a day for every year of age with the same weight and height: a reference man drops from 1,818 kcal at 20 to 1,518 at 80. See the chart for men and women.Read the guide
How to increase BMR
How-to4 min read
How to Increase Your BMR: What Actually Works (and How Much)Building muscle raises BMR modestly: about 13 kcal per kg of muscle a day against 4.5 for fat, so 5 kg of extra muscle adds roughly 65 kcal a day.Read the guide
How to calculate BMR step by step
How-to4 min read
How to Calculate Your BMR Step by Step (Men and Women)Calculate BMR in four steps: convert units, multiply weight by 10, height by 6.25, subtract 5 x age, then add 5 (men) or subtract 161 (women).Read the guide
Harris-Benedict compared with Mifflin-St Jeor
Comparison4 min read
Harris-Benedict vs Mifflin-St Jeor: Which BMR Formula Is Better?Revised Harris-Benedict gives 1,439 kcal and Mifflin-St Jeor 1,380 kcal for a 28-year-old woman of 65 kg and 165 cm. See both formulas and a side-by-side table.Read the guide
Mifflin-St Jeor equation for BMR
How-to4 min read
The Mifflin-St Jeor Equation Explained (With Worked Examples)BMR = 10 x weight (kg) + 6.25 x height (cm) - 5 x age + 5 (men) or - 161 (women). Worked examples: a 28-year-old woman gets 1,380 kcal, a 35-year-old man 1,755 kcal.Read the guide
Widmark formula for blood alcohol
How-to4 min read
The Widmark Formula Explained: How BAC Is EstimatedBAC = alcohol (g) / (body weight (g) x r) x 100 - 0.015 x hours. r is 0.68 for men and 0.55 for women. Worked example: an 80 kg man after 4 drinks is about 0.073%.Read the guide
Time for BAC to fall to zero
How-to4 min read
How Long Does It Take to Sober Up? BAC Time to ZeroAt about 0.015% per hour, a 0.08% BAC takes roughly 5.3 hours to reach zero and 0.15% about 10 hours. Rates vary widely, and nothing speeds it up.Read the guide
Drinks needed to reach 0.08 BAC
Reference4 min read
How Many Drinks Does It Take to Reach 0.08% BAC?The peak estimate hits 0.08% at about 2.8 standard drinks for a 160 lb man and 2.3 for a 160 lb woman. See the numbers for 120 to 200 lb and why impairment starts...Read the guide
BAC chart by weight and drinks
Reference4 min read
BAC Chart by Weight and Number of Drinks (Men and Women)Estimated peak BAC for 1 to 5 standard drinks at 120 to 200 lb, for men and women, using the Widmark formula. A 160 lb man reaches about 0.085% after 3 drinks.Read the guide
Light beer compared with regular beer calories
Comparison4 min read
Light Beer vs Regular Beer Calories: How Much Do You Save?A 12 oz light beer (4.2%) has about 106 kcal against 150 for regular (5%): a saving of 44 kcal per drink, or about 11,000 kcal a year at 5 drinks a week.Read the guide
Calories in mixed drinks with mixers
How-to4 min read
Calories in Mixed Drinks: How Mixers Add UpA spirit with 6 oz of regular soda is about 178 kcal: 98 from alcohol plus 80 from sugar. Learn how to count calories in cocktails and mixed drinks.Read the guide
Formula for calories in alcohol
How-to4 min read
How to Calculate Calories in Alcohol (Formula and Example)Calories = volume (mL) x ABV x 0.789 x 7, plus carbs x 4. Worked example: a 12 oz 5% beer has 14 g of alcohol, 98 kcal from alcohol and about 150 kcal in total.Read the guide
Calories in beer wine and spirits per serving
Reference4 min read
Calories in Beer, Wine and Spirits: Per-Serving ChartA regular 12 oz beer is about 150 kcal, a 5 oz glass of wine about 114 and a 1.5 oz spirit shot about 98. See the full chart with standard drinks.Read the guide
Leap day birthday and age calculation
Reference4 min read
How Old Are You If You Were Born on 29 February? Leap Day BirthdaysLeap day births: the leap year rule, when a leap-day baby legally turns a year older (28 Feb or 1 Mar by local law), and how many real birthdays they have.Read the guide
Korean age compared with international age
Comparison4 min read
Korean Age vs International Age: How the Two Systems DifferTraditional Korean age starts at 1 and adds a year every 1 January, making people 1 to 2 years older than international age. South Korea changed in June 2023.Read the guide
Chart of age in days weeks and months
Reference4 min read
Age in Days, Weeks and Months: Chart for Ages 1 to 65How many days, weeks and months old is a 1, 5, 10, 18, 30 or 65 year old? Approximate chart using a 365.25-day year, plus how to get your exact count.Read the guide
Calculating exact age from date of birth
How-to4 min read
How to Calculate Age From Date of Birth (Years, Months, Days)Step-by-step method to find exact age from a birth date, with a worked example: 14 May 1995 to 5 Feb 2025 is 29 years, 8 months, 22 days (10,860 days).Read the guide
Macro targets of 210 grams protein, 67 grams fat and 240 grams carbs at 2,400 calories
Nutrition3 min read
Best Macro Split for Fat Loss: Ratios and Grams ComparedCompare 30/30/40, 35/25/40 and other macro splits at 2,400 calories, with grams, AMDR ranges and how to set your own.Read the guide
A moderate-intensity target heart rate zone of 88 to 123 beats per minute for a 45-year-old
Fitness3 min read
Target Heart Rate by Age: Chart and ZonesMax heart rate is about 220 minus age. See moderate and vigorous target zones by age, the Karvonen method and a worked example.Read the guide
A waist-to-height ratio of 0.56 for someone 170 cm tall with a 95 cm waist
Body composition3 min read
Waist-to-Height Ratio Chart: What Is a Healthy Ratio?Keep your waist under half your height. See the NICE waist-to-height ratio chart, a waist size table by height and a worked example.Read the guide
A Navy-method body fat estimate of about 20 percent for a man with a 90 cm waist
Body composition3 min read
Healthy Body Fat Percentage by Age and SexHealthy body fat is about 21-32% for women and 8-19% for men in their 20s-30s. See charts by age, ACE categories and how to measure at home.Read the guide
About 2.2 liters of water from drinks a day for women and 3.0 liters for men
Guide4 min read
How Much Water Should You Drink a Day?About 2.2 L of drinks for women and 3.0 L for men, plus extra for exercise. See the chart, the formula and six quick habits to drink more.Read the guide
Most adults need about 1,600 to 3,000 calories a day depending on age, sex and activity
Guide4 min read
How Many Calories Should I Eat a Day?Most adults need 1,600 to 3,000 calories a day. See estimated needs by age, sex and activity, plus how to work out your own number.Read the guide
TDEE of 2,124 calories a day for a 40-year-old woman who is moderately active
Guide5 min read
How to Calculate Your TDEE (Total Daily Energy Expenditure)TDEE = BMR x an activity factor of 1.2 to 1.9. See the Mifflin-St Jeor formula, a multiplier table, worked examples and how to check your result.Read the guide
A due date is 280 days after the first day of the last menstrual period
Pregnancy5 min read
How to Calculate Your Due Date: LMP, Conception & IVFAdd 280 days to the first day of your last period: 1 March 2026 gives 6 December 2026. Adjust for cycle length, or use conception (+266 days) or IVF dating.Read the guide
An 82 kilogram moderately active adult needs about 98 to 131 grams of protein a day
Nutrition5 min read
How Much Protein Do I Need Per Day? Chart by WeightMultiply weight in kg by 0.8-2.2 depending on activity: an 82 kg moderately active adult needs about 98-131 g a day. Chart by weight and activity.Read the guide
Home size and distance are the main drivers of moving cost
Budgeting a move5 min read
Moving Cost Calculator: Estimate Your Moving CostsLearn how to estimate moving costs by home size, distance, labor, packing, storage and other expenses with a practical moving cost calculator guide.Read the guide
A 32,000 dollar car keeps about 44.4 percent of its value after five years
Car depreciation6 min read
Car Depreciation Chart: Value by Year & How to Calculate ItUnderstand car depreciation by year with a clear value-retention chart, depreciation formula, worked example, and factors such as mileage, condition.Read the guide
A 500 calorie daily deficit leads to about 1 pound of weight loss per week
Weight loss6 min read
How Many Calories to Eat to Lose 1 Pound a Week?Eat about 500 calories below your maintenance level to lose roughly 1 pound a week. See daily targets by TDEE and weekly rate, with a worked example.Read the guide
About 2,410 steps burn 100 calories at 160 pounds and a moderate walking pace
Walking & calories5 min read
How Many Steps Burn 100 Calories? Chart by Weight & PaceAbout 2,410 steps burn 100 calories for a 160 lb adult at a moderate pace. See the chart by body weight and walking speed, plus the formula.Read the guide
Recommended pregnancy weight gain is 25 to 35 pounds in total for a normal pre-pregnancy BMI with one baby
Pregnancy6 min read
How Much Weight Should I Gain in Pregnancy? Chart by WeekRecommended pregnancy weight gain by pre-pregnancy BMI: 25-35 lb total for normal weight, about 7-12 lb by week 20. IOM chart by week and BMI category.Read the guide
A score of 92 percent is needed on a final worth 30 percent to finish with an 85 percent course grade
Grades5 min read
What Grade Do I Need on My Final Exam? Formula & ExamplesFind the score you need on your final to reach your target grade. Formula, tables and worked examples, e.g. 82% going into a 30% final needs 92% for an 85%.Read the guide
A normal adult BMI is between 18.5 and 24.9
Body composition2 min read
What Is a Good BMI? BMI Ranges ExplainedA healthy BMI is 18.5 to 24.9. Learn what BMI means, how it is calculated, what the different ranges indicate, and its limitations as a health measure.Read the guide
BMI equals weight in kilograms divided by height in meters squared
Screening5 min read
BMI Calculator Guide: What Your Number Really MeansA practical guide to BMI — what it measures, how to calculate it, who it misleads, and which other health metrics to track alongside it.Read the guide
A new car loses 20 to 30 percent of its value in the first year
Vehicle ownership2 min read
Car Depreciation Chart 2026 — How Much Value Does a Car Lose Per Year?Car depreciation chart 2026: new cars lose 20-30% in year one, 15-20% per year after. Full breakdown by year, make, and model type. Free depreciation calculator.Read the guide
A local two-bedroom move costs about 600 to 1,500 dollars
Budgeting a move2 min read
How Much Does It Cost to Hire Movers? (2026 Guide)Moving costs in 2026: local moves average $800–$2,500, long-distance $2,000–$7,500+. Full breakdown by home size, distance, and service type.Read the guide
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How the guides are written

Author & method

SH
Suhaib HassanAuthor & calculator developer

Writes and maintains the guides alongside the calculators they explain, and checks each worked example against the tool.

Our methodologyFormula-first, example-checked

Guides state their assumptions. Figures such as tax rates and thresholds change, so check the date on each guide and the official source before acting.

Comparisons

13 guides

Side-by-side comparisons of CalculatePilot with other calculator sites and tools: what each does best, with sources you can check.

An estimated one rep max of about 193 pounds from lifting 155 pounds for 8 reps
Strength training3 min read
Epley vs Brzycki: Which One Rep Max Formula Should You Use?Epley: w x (1 + reps/30). Brzycki: w x 36/(37 - reps). See both side by side with a worked example and which to trust for your rep range.Read the guide
BMR of 1,370 compared with a TDEE of 2,124 calories for the same person
Guide4 min read
BMR vs TDEE: What Is the Difference?BMR is calories burned at rest; TDEE adds digestion and movement. See a worked example, a comparison table and which number to plan your eating around.Read the guide
One-time versus monthly extra loan payments compared
Borrowing4 min read
Lump Sum vs Monthly Extra Payments on a Loan: Which Saves More?Compare a one-time extra payment, a yearly payment and a monthly extra payment on a $300,000, 6.5% loan: time saved and interest saved.Read the guide
Interest-only versus amortizing loan comparison
Borrowing4 min read
Interest-Only vs Amortizing Loan: Payment, Balance and Balloon RiskCompare an interest-only, a fully amortizing and a balloon loan on $300,000 at 6.5%: payments, balance after 5 years and the risks.Read the guide
5/1 ARM payment before and after reset versus fixed
Mortgage4 min read
5/1 ARM vs Fixed-Rate Mortgage: What Happens When the Rate ResetsStress-test a 5/1 ARM against a 30-year fixed on a $320,000 loan: the intro payment, the payment after a reset, and the five-year saving you could lose.Read the guide
15-year versus 30-year mortgage payment and interest
Mortgage4 min read
15-Year vs 30-Year Mortgage: Payment and Total Interest ComparedCompare a 15-year and 30-year mortgage on a $320,000 loan: monthly payment, total interest, and how a half-point rate change affects the cost.Read the guide
529 plan versus taxable account for college savings
Education savings4 min read
529 Plan vs Taxable Brokerage Account for College SavingsCompare a 529 plan with a taxable account for college savings: $250 a month at 6% over 18 years, tax avoided, flexibility trade-offs and when a taxable account makes...Read the guide
Loan term comparison from 24 to 84 months at 7.5 percent
Borrowing4 min read
Short vs Long Loan Term: Payment and Total Interest ComparedCompare 24 to 84 month terms on a $20,000 loan at 7.5%: monthly payment and total interest, plus how the rate changes the cost.Read the guide
Roth versus traditional 401(k) after-tax result at three retirement tax rates
Retirement4 min read
Roth vs Traditional 401(k): Worked Example and How to ChooseCompare a Roth and traditional 401(k) with a worked 30-year example at three retirement tax rates, plus the rules for tax-free Roth withdrawals.Read the guide
1031 exchange keeps 574,750 dollars to reinvest versus 418,728 after a taxable sale
Real estate tax4 min read
1031 Exchange vs Selling and Paying Tax: Side-by-Side With NumbersCompare a 1031 exchange with a taxable sale on an $850,000 rental: tax due now, cash to reinvest, trade-offs, deadlines and who it suits.Read the guide
Lump sum investing versus dollar-cost averaging over 12 months
Investing4 min read
Lump Sum vs Dollar-Cost Averaging: Which Grows More?Lump sum or dollar-cost averaging? Compare both with a worked 12-month example at a constant 8% return, plus when spreading out your investing makes sense.Read the guide
Property purchase tax on 300,000 pounds differs between England, Scotland and Wales
UK property tax4 min read
Stamp Duty vs LBTT vs LTT: England, Scotland and Wales ComparedCompare SDLT, LBTT and LTT side by side: residential bands, first-time buyer relief, second-home surcharges and worked examples at £300,000 and £500,000.Read the guide
CalculatePilot vs Calculator.net: two free calculator sites compared side by side
Comparison6 min read
CalculatePilot vs Calculator.netHow this library differs on formulas, privacy and embeds.Read the comparison