Cash-Flow Reference Library: Reproduce and Understand the Answer
Explore verified IRR, XIRR, NPV and MIRR examples with complete cash flows, mathematical checks, downloadable data and cases you can load into the calculator.
Calculator guides, reference charts, and worked examples for health, finance, math, construction, and more. Find a topic below or search the full article library.
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Reproduce an answer, understand conflicting returns, and inspect the assumptions behind a property model.
Find the right reference for a baby's measurements or a pregnancy scan.
Look up trig integrals, learn the rules, or calculate a polynomial antiderivative.
Compare match formulas, estimate the employer contribution, and explore savings growth.
Plan breeding dates and calving windows, then check the gestation reference tables.
FinanceExplore verified IRR, XIRR, NPV and MIRR examples with complete cash flows, mathematical checks, downloadable data and cases you can load into the calculator.
GeneralCattle gestation table by breed: Angus averages 281 days, Hereford 287, Brahman 292. Includes a breeding date to calving date chart and calving signs.
Health & FitnessVO2 max chart with ACSM categories by age: excellent for men 20-29 is 42.5+ mL/kg/min, for women 36+. How to measure, read your number, and improve.
Health & FitnessWaist to hip ratio chart with WHO thresholds: below 0.85 for women and 0.90 for men avoids the abdominal obesity cutoff. How to measure and what your ratio means.
ConstructionHow much salt to add to a pool for first fill and top-ups, why salt levels drop, what causes false low-salt warnings, and how to avoid overshooting 3,200 ppm.
Health & FitnessEpley, Brzycki, Lander, and Lombardi 1RM formulas compared by rep range. Which is most accurate, when they diverge, and how to get the best estimate.
FinanceHECM loan: FHA-insured reverse mortgage rules, lending limit, eligibility requirements, six payout options, and upfront MIP costs explained.
ConstructionEstimate rectangular, circular and elliptical pool volumes in US gallons. Checked examples and tables, actual water-depth assumptions and limits of the estimate.
GeneralRecipe conversion: scale factor = desired servings ÷ original servings. Adjust ingredients, handle spices and leaveners, resize pans, and plan batch cooking.
MathMidpoint formula: M = ((x₁+x₂)/2, (y₁+y₂)/2). How to find the midpoint, distance, and slope for any two coordinate pairs with worked examples and geometry applications.
PayrollIowa paycheck tax at flat 3.8%, Tennessee and New Hampshire take zero from wages, New Mexico progressive brackets up to 5.9%. Take-home at $50K, $75K, $100K.
Health & FitnessToddler weight and height percentile chart for ages 2 to 5: WHO reference values by sex, how growth changes after 24 months, and what to track.
Health & FitnessThe 99th percentile means scoring higher than 99% of the group. One in 100 people reach this rank. Applies to test scores, height, IQ, and baby weight.
Health & FitnessEFW percentile in pregnancy: how estimated fetal weight is calculated from biometry measurements, and what low or high percentiles mean clinically.
FinanceHurdle rate vs IRR: how return thresholds are set, the accept/reject decision rule, and where IRR above the hurdle rate can still mislead.
FinanceCalculate your employer 401(k) match and compare it with Vanguard's latest benchmark: a 4.0% median and 4.7% average maximum promised match.
FinanceCalculate the traditional basic, enhanced 4%, QACA, or 3% nonelective safe harbor contribution. Includes 2026 IRS limits, vesting, and notice rules.
FinanceHow 401k employer matching works: dollar-for-dollar vs percentage formulas, vesting schedules, and whether employer match counts toward your limit.
FinanceHow to calculate IRR on the TI-84 Plus using the irr( function: cash flow entry, frequency argument, and ERR:NO SIGN CHG fixes.
FinanceBuild a property IRR schedule with acquisition costs, debt service and sale proceeds. Check exit-cap sensitivity and correctly annualize a short property hold.
FinanceIdentify Canadian silver coin purities, including the 1967–1968 transition, then calculate melt value with verified weight and a manually supplied price.
Health & FitnessInBody scan vs DEXA scan: how each measures body fat, where results diverge, and which test to choose based on your goal and budget.
Health & FitnessFFMI calculator: fat-free mass index formula, score chart by training level, the natural limit of 25, and how FFMI compares to BMI for body composition.
FinanceDSCR loan minimum requirements by lender type, how income and debt are calculated, and how DSCR loans differ from conventional investment property loans.
Health & FitnessAnion gap normal range is 8 to 12 mEq/L. Albumin correction, MUDPILES causes of high anion gap, delta ratio formula, and normal gap acidosis explained.
Health & FitnessCompare ADAG-estimated A1C and GMI from mean glucose, with checked examples and tables. Understand sampling limitations and differences from laboratory A1C.
Health & FitnessCorrected calcium adjusts for albumin using the Payne formula. This guide covers when the correction is reliable and when to order ionized calcium instead.
Health & FitnessThe 50th percentile is the WHO median reference value for age and sex. See monthly weight and length tables for boys and girls and learn how to read a trajectory.
Health & Fitness3rd percentile means a baby's measurement is near the lower tail of a same-age, same-sex growth standard. What the number shows and what context it cannot replace.
FinanceCompare silver refinery quotes using assayed fine silver, stated price terms, fees, and net proceeds. Worked examples avoid applying sterling purity twice.
FinanceFERS sick leave converts at 2,087 hours per year. Dollar value by High-3 salary, the 1.1% multiplier at 62, and what sick leave cannot do for retirement eligibility.
Health & FitnessCalculate GMI from mean CGM glucose in mg/dL or mmol/L. Checked examples and a reference table, with clear distinctions from ADAG and laboratory A1C.
Health & FitnessSpirits ABV chart: most liquor at 40% (80 proof), overproof rum to 75.5%, barrel bourbon to 65%. Why 40% became the standard and what changes above 50% ABV.
Health & FitnessWine ABV ranges from 5.5% Moscato to 17% Zinfandel. Full chart by grape and region, how fermentation controls alcohol percentage, and what the label tolerance allows.
Health & FitnessABV stands for alcohol by volume, the universal standard for measuring alcohol strength. What the percentage means, legal tolerances, and ranges by drink type.
Health & FitnessBeer ABV ranges from 2.4% ultra-light to 15% imperial stout. Full chart by style with verified examples, standard drink math, and why craft brewing expanded the range.
PayrollIllinois final paycheck: IWPCA requires payment by next regular payday. 2% monthly late penalty, PTO payout rules, and steps if your employer withholds.
PayrollIllinois hourly paycheck after taxes: flat 4.95% state rate, overtime rules, and take-home at $15 to $30 per hour for weekly and biweekly pay periods.
FinanceCopy a complete cash-flow table into Excel, verify IRR and MIRR, and check dated XIRR. Fix blank periods, date errors, multiple roots and #NUM! results.
FinanceIRR, ROI, and equity multiple measure different things. Which to use for real estate and private equity, and when the three metrics conflict.
FinanceAudit private equity returns with a complete gross-to-net cash-flow example, fee calculations, NAV sensitivity, and reconciled DPI, RVPI and TVPI.
FinanceCompare IRR and NPV using complete cash-flow schedules. Reproduce scale and timing conflicts, two valid IRRs, and the conditions behind the usual decision rule.
FinanceEvaluate an IRR using a complete cash-flow example, fees, sale assumptions, risk and NPV. Learn what a headline return can and cannot establish.
EducationLaw school scholarship negotiation works when you hold a competing offer. Timing, what to say, and where schools have the most flexibility to move.
EducationLaw school scholarships for women and minorities come from two sources: school merit aid and external programs. How to find both and what qualifies.
EducationThe law schools that give the most scholarships are not the top-ranked ones. Which rank tiers offer the most merit aid and how to find your targets.
EducationFull ride law school scholarships: which school tiers offer full tuition, LSAT scores that qualify, and when a full ride beats a higher-ranked school.
EducationLaw school scholarships come down to LSAT and GPA vs school medians. How thresholds work, the renewal trap, and where full scholarships actually come from.
PayrollCalifornia hourly paycheck calculator: how daily overtime after 8 hours works, double time after 12, SDI on hourly wages, and take-home at $18, $25, and $35/hr.
PayrollCalifornia paycheck laws: how often employers must pay, what every pay stub requires, legal vs illegal deductions, and penalties for late regular paychecks under Labor Code 210.
PayrollCalifornia final paycheck law: termination means same-day pay, resignation with notice means last day, without notice means 72 hours. Labor Code 203 penalties explained.
PayrollCalifornia paycheck tax breakdown: CA income tax 1%–13.3%, SDI 1.1% no cap, federal withholding, and take-home at $50K, $75K, and $100K for single filers.
FinanceCalculate sterling jewelry and flatware melt value using verified alloy weight. Understand pennyweight, filled handles, purity, and net resale versus scrap offers.
FinanceCalculate the gold-to-silver ratio from compatible prices. Compare hypothetical swaps after bid-ask differences and understand why ratios do not predict returns.
FinanceIdentify silver plate versus sterling and understand why total plated-item weight cannot establish silver content, recovery proceeds, or antique resale value.
FinanceUS silver coin melt formulas and reference weights, including 40% Kennedy halves, historical dollars, Silver Eagles, and the worn 90% coin shortcut.
Health & Fitness99th percentile means heavier than 99% of the same-age reference distribution. What high and low weight-for-age percentiles do—and do not—show.
Health & FitnessCalculate estimated fetal-weight percentile by exact pregnancy week using INTERGROWTH-21st standards, then understand EFW, centiles, scan trends, and limits.
Health & FitnessBaby weight percentile chart with WHO reference values from birth to 24 months. Selected tables for boys and girls, plus the WHO LMS calculation method.
PayrollOhio hourly paycheck: 0% on first $26,050, then 2.75%. How overtime, SDIT, and city tax affect hourly workers' take-home pay at $15 to $30/hr.
Health & FitnessBaby percentile compares your baby's weight or length to WHO reference babies the same age and sex. What the number means, how it's calculated, and what to watch.
PayrollIllinois income tax: constitutionally fixed 4.95% flat rate, full pension and Social Security exemption. Take-home pay at $50K, $75K, $100K for 2025.
PayrollNebraska income tax: 4-bracket system with a top rate dropping to 3.99% by 2027. Social Security now fully exempt. Take-home at $50K, $75K, $100K.
PayrollMinnesota income tax: 4 brackets from 5.35% to 9.85%, no local tax anywhere in the state. Take-home pay at $50K, $75K, and $100K for 2025.
PayrollUnderstand Utah's final 2025 income tax rate and phased taxpayer credit. Checked salary examples explain the calculator's assumptions and limits.
PayrollOhio city income tax guide: rates for Columbus, Cleveland, Cincinnati, Toledo. How the resident credit works when you live in one city and work in another.
PayrollOhio SDIT explained: 210+ districts levy 0.5% to 2.5% based on where you live. Traditional vs. Earned Income types, top district rates, and what to do if not withheld.
FinanceFERS supplement calculator guide: who qualifies, how to calculate the amount, earned income test, sick leave credit, and when the supplement stops at 62.
PayrollNY paycheck calculator guide: NJ graduated rates, Indiana county taxes, Michigan city taxes, and NYC city tax. Take-home pay at $55K and $85K.
PayrollSouth Carolina 2026: simplified 1.99% and 5.21% rates replace the old six-bracket system. Military exemption, SS exemption, and take-home pay at $50K to $100K.
PayrollWisconsin paycheck tax: 3.5% to 7.65% brackets with a sliding standard deduction that phases out by $106K income. Take-home pay at $50K to $100K.
PayrollMaryland paycheck tax: 4.75% to 6.5% state rates plus county income tax up to 3.30%. All 23 county rates and take-home pay at $60K to $120K.
FinanceValue 1, 10 and 100 fine-troy-ounce silver bars using your own price. Compare actual premiums, net offers and break-even terms without applying purity twice.
FinanceCalculate silver value per gram for 999, 925, 900, 835 and 800 grades using a price you supply. Correct conversion tables and mixed-lot examples.
PayrollAlaska has no state income tax. Hawaii's top rate reaches 11%. Idaho went flat at 5.8% in 2023. Kentucky cut to 4.0%. Take-home pay at $50K, $75K, and $100K compared.
FinanceCalculate old silver melt value from verified weight, purity, and a price you supply. Compare buyer offers after fees; no live or city-specific rates.
PayrollMassachusetts paycheck tax guide: 5% state income tax and PFML withholding explained, with 2025 examples at $60K, $80K, and $120K.
PayrollOhio paycheck tax guide: 0% on first $26,050, 2.75% to 3.125% for 2025 taxes. SDIT and city tax explained. Take-home pay at $50K-$100K.
FinanceExact keystroke sequences for HP 12C and BA II Plus, plus XIRR in Excel. Worked investment example: enter cash flows, press IRR, read result. Under 5 minutes.
MathAcceleration calculator: find acceleration from velocity change and time, or use any of the 3 kinematic equations. All units supported. Free, no signup.
Health & FitnessConvert average blood glucose to an ADAG-estimated A1C, or A1C to eAG. Worked examples, mg/dL and mmol/L tables, and why GMI and lab A1C differ.
MathFind common power, polynomial, exponential and log antiderivatives with worked examples. Check coefficients, integration constants and domains by differentiation.
FinanceProrated rent = rent ÷ days in month × days occupied. Covers move-in, move-out, and mid-month examples, daily-rate method, and when landlords use a 30-day month.
Finance2026 Roth IRA limits: $7,000 ($8,000 if 50+). Phase-out begins at $150k single, $236k married. Calculate your exact allowed contribution. No signup.
FinanceCap rate = NOI divided by property value. Learn the formula, see examples by property type, and find out what cap rate benchmarks apply to your investment.
FinanceCalculate worn 90% US dimes, quarters, and halves with the 0.715 shortcut. Separate silver dollars and 40% halves; value 800 silver by verified weight.
MathPartial derivatives measure how a function changes in one direction while others are fixed. Rules, worked examples, gradient, and applications.
MathA determinant shows if a matrix has an inverse and if a linear system has a unique solution. Step-by-step 2x2 and 3x3 methods with examples.
FinanceCommercial mortgage payments depend on rate, amortization, and balloon term. DSCR determines approval. Worked examples with real numbers.
Health & FitnessTotal calcium is unreliable with low albumin. The Payne correction formula adjusts for protein binding. When to use it and when ionized calcium is better.
FinanceCalculate IRR from cash flows, reproduce two property examples, and download CSVs. Includes NPV checks, dated XIRR, multiple roots and MIRR assumptions.
ConstructionSquare footage is length times width for simple rooms. L-shapes and bay windows change the math. Exact method for rooms, floors, and whole houses.
FinanceTrace a property from rent to sale proceeds. Reproduce cap rate, unlevered IRR and equity IRR, then test exit cap rates, income growth and borrowing costs.
FinanceCoast FIRE needs a larger portfolio but no part-time income. Barista FIRE gets you there sooner with less saved. Compare numbers and timelines.
Health & FitnessIn the US, proof is ABV doubled. A 40% spirit is 80 proof. Conversion table, formulas, and how the old UK proof system set 100 proof at 57% ABV.
Health & FitnessBrix from a refractometer converts to SG and potential ABV. Includes a Brix-to-SG table, the ABV formula, and correction for post-fermentation readings.
Health & FitnessCalculate ABV from original and final gravity using the standard homebrewing formula. Worked examples for beer, wine, and cider. No signup.
Health & FitnessHow to use a hydrometer to take gravity readings, apply temperature corrections, and calculate ABV from homebrew measurements. No signup.
FinanceEstimate scrap silver melt value from verified alloy weight, purity and your own price. Handle mixed lots, filled pieces and actual buyer fees without invented payout rates.
FinanceConvert a silver price between troy ounces and grams, distinguish fine silver from gross alloy weight, and compare quote units without double-counting purity.
MathCalculate seven common trig antiderivatives with substitution steps and a derivative check, then use the sin, cos, tan, sec, csc and cot reference table.
Health & FitnessLearn how to calculate your menstrual cycle length, when a period is late vs missed, and what affects period calculator accuracy. Includes manual formula.
Health & FitnessHow to calculate chronological age by hand, in years and months, for Pearson assessments, speech therapy, and prematurity adjustment. Free guide.
Health & FitnessStarbucks nutrition guide covering latte calories, Frappuccino calories, low calorie options, syrup nutrition, and custom order calorie calculation.
FinanceHow to calculate your FERS retirement annuity, High-3 salary, sick leave credit, FERS supplement, and early retirement reduction rules. Step-by-step.
FinanceHow to calculate your Coast FIRE number with worked examples, a reference table by age, and adjustments for Social Security and pension income.
FinanceNo law sets an equity floor for reverse mortgages, but the math creates one. How requirements work by age, home value, and rate, with real examples.
FinanceHow to calculate a reverse mortgage: principal limit factor, upfront costs, payout options, and worked examples for different ages and home values.