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🔬 ScienceFree
Solar panels needed for net zero
If your home uses 4000 kWh a year and each panel yields 400 kWh, you need 10 panels to reach net zero.
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🔬 ScienceFree
Solar Panel Payback Period Calculator
Divide what the installation really costs after incentives by what it saves on bills each year: a ratio of 7.5 reads as 7 years and 6 months, or 90 months.
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🔬 ScienceFree
Solar panel power output calculator
Sunlight of 1000 W/m² on a 1.6 m² panel at 20% efficiency gives 320 W, or 0.32 kW. Use it to check a datasheet claim or size an array before adding real-world…
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🔬 ScienceFree
Groundwater Specific Discharge Calculator
With a conductivity of 0.0001 m/s, a gradient of 0.02 and a porosity of 0.25, specific discharge is 0.000002 m/s and water moves through the pores at 0.000008…
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🔬 ScienceFree
Specific humidity to mixing ratio calculator
A specific humidity of 0.012 kg/kg becomes a mixing ratio slightly above 0.012, because the vapor is measured against dry air alone instead of all the moist…
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🔬 ScienceFree
Tidal prism volume calculator
An estuary of 2500000 m² with a 1.8 m tidal range exchanges 4500000 m³ of water between low and high water.
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🔬 ScienceFree
True wind from apparent wind calculator
With 18 knots of apparent wind at 45° off the bow, a boat speed of 6 knots and a 90° heading, the true wind is 14.396699 knots from 152.139272° true.
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🔬 ScienceFree
Recycling CO2 savings calculator
Recycling 1250 kg of material with a factor of 0.85 kg CO2e per kg avoids 1062.5 kg CO2e, or 1.0625 tonnes.
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🔬 ScienceFree
Absolute water vapor density calculator
A vapor pressure of 2339 Pa at 293.15 K, about 20 °C, means roughly 17.3 grams of water vapor in every cubic metre of air.
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🔬 ScienceFree
Ocean Wave Group Velocity Calculator
A 100 m wave in 20 m of water carries its energy at just over 8 m/s, while its crests run faster, at more than 11 m/s.
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🔬 ScienceFree
Deep-water wave celerity from period
A 10-second swell in deep water travels at about fifteen and a half metres per second, with crests roughly one hundred fifty-six metres apart.
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🔬 ScienceFree
WBGT estimate from temperature and humidity calculator
At 32 °C and 65% relative humidity in the shade, the estimated wet bulb globe temperature is just over twenty-eight degrees Celsius.
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🔬 ScienceFree
Old wind chill calculator
A 10 m/s wind on air at 10 °C gives a Siple–Passel cooling power of about seven hundred thirty-eight kilocalories per square metre per hour.
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🔬 ScienceFree
Wind direction to 32-point compass calculator
A wind direction of 73.2° becomes East by north, written EbN, point number 7 when North is 0, with its sector centered on 78.75°.
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💰 Finance & moneyFree
Billable weight calculator
Know what weight a carrier will bill before you print the label: a 5 lb box measuring 20 × 15 × 10 inches with divisor 139 bills at about 21.58 lb, on its…
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💰 Finance & moneyFree
Boxes per pallet calculator
Plan a pallet load in complete boxes: 40 × 30 × 25 cartons on a 120 × 100 pallet with 150 of usable height give 9 per layer, 6 layers and 54 boxes.
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💰 Finance & moneyFree
Cash on delivery total calculator
Know exactly what the courier should collect at the door: goods of 120, shipping of 15 and a COD fee of 5 make a collect total of 140, with a 135 subtotal for…
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💰 Finance & moneyFree
Shipping fuel surcharge calculator
Turn a base shipping rate and the current fuel percentage into the amount to bill: a 48.5 base at 12.5% adds a 6.06 surcharge for a 54.56 freight total.
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💰 Finance & moneyFree
Order handling fee calculator
Price order handling in one step: a 125.5 subtotal with a 3.25 fixed fee and a 4.5% fee gives 5.65 from the percentage, an 8.9 handling charge and a 134.4 order…
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💰 Finance & moneyFree
Import Tax and VAT Estimate Calculator
See the extra charges before a cross-border parcel arrives: 200 of goods plus 30 shipping at 5% duty and 20% VAT bring 11.5 in duty, 48.3 in VAT and a landed…
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💰 Finance & moneyFree
Pallet positions in container calculator
Know how much floor is left before the next pallet goes in: a 1203 × 235 cm container takes 25 pallets of 120 × 80, so with 18 loaded there are 7 positions open…
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💰 Finance & moneyFree
Pallet Stack Height Calculator
Check a loaded pallet against a rack or trailer limit: six layers of 32.5 cm cartons make a 195 cm stack, and a 14.4 cm pallet base brings the total to 209.4…
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💰 Finance & moneyFree
Shipping cost by weight calculator
Price a parcel from its weight in two clear steps: 3.5 kg at 1.80 per kilogram is a 6.30 weight charge, and a 4.25 base charge brings the shipping cost to…
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💰 Finance & moneyFree
Shipping margin calculator
Charging 12.99 for shipping while paying 8.40 to the carrier and 1.35 for packaging leaves 3.24 of profit, a 24.94% margin.
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💰 Finance & moneyFree
Affordable bundle check calculator
5 units at 12 plus 3 at 20 cost exactly 120, so with an income of 120 the bundle sits right on the budget line.
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💰 Finance & moneyFree
Average Product of Labor Calculator
42 workers producing 1,575 units average 37.5 units each. Enter total output and the headcount for the same period to get the average product of labor, a plain…
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💰 Finance & moneyFree
Average variable cost calculator
Variable costs of 1,200 spread over 100 units give an average variable cost of 12 per unit. Enter total variable cost and quantity to get the figure each unit's…
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💰 Finance & moneyFree
Cobb-Douglas production output calculator
With productivity of 1.5, capital of 100, labor of 50 and exponents of 0.3 and 0.7, output is 92.335831000869 with constant returns to scale.
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💰 Finance & moneyFree
Income CV calculator
Five incomes averaging 44,000 with a standard deviation of 20,591.260282 have a coefficient of variation of 0.467983, or 46.798319%.
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💰 Finance & moneyFree
Four-Firm Concentration Ratio Calculator
If the four largest firms hold 28%, 22%, 17% and 11%, the CR4 is 78%. Enter every reported market share in any order and the calculator picks the top four, adds…
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💰 Finance & moneyFree
Consumer Surplus Change Calculator
Raising the price from 20 to 30 cuts consumer surplus from 900 to 400, a buyer loss of 500. Enter the demand line and the old and new prices to see quantities…
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💰 Finance & moneyFree
Consumer price index from basket calculator
A basket costing 65 at base prices and 77.5 at current prices has a consumer price index of 119.23, a 19.23% rise.
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💰 Finance & moneyFree
Cross exchange rate calculator
If a euro is worth 1.08 dollars and a pound 1.26 dollars, one euro buys 0.857142857142857 pounds. Enter two rates quoted against the same third currency to get…
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💰 Finance & moneyFree
Current account balance calculator
A trade balance of 120, net income from abroad of −35 and net transfers of 15 give a current account surplus of 100.
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💰 Finance & moneyFree
Deadweight Loss from a Price Floor Calculator
A price floor of 30 above an equilibrium price of 20 cuts trade from 80 to 60 units and wipes out 166.666666666667 of total surplus.
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💰 Finance & moneyFree
Economies of Scale Calculator
Making 1,000 units for 12,000 costs 12 each, while 2,000 units for 18,000 cost 9 each: a 25% drop that signals economies of scale.
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💰 Finance & moneyFree
Effective price after subsidy calculator
A 25% subsidy on a list price of 100 leaves the buyer paying 75. Enter the price and a percentage or a fixed amount per unit to see the out-of-pocket price, the…
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💰 Finance & moneyFree
Market equilibrium from linear demand and supply
With demand of 100 minus 2 times the price and supply of 20 plus 2 times the price, the market clears at a price of 20 and a quantity of 60.
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💰 Finance & moneyFree
Market Equilibrium with a Per-Unit Tax Calculator
A tax of 9 per unit cuts trade from 40 to 34 units: buyers pay 33 instead of 30, sellers keep 24 and the state collects 306.
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💰 Finance & moneyFree
Fixed cost calculator
Recover fixed cost from two totals: a total cost of 5000 with variable cost of 3200 leaves 1800 of fixed cost, a 0.36 share of the total.
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💰 Finance & moneyFree
GDP deflator calculator
Turn nominal and real GDP into the economy-wide price index: nominal GDP of 1100 against real GDP of 1000 gives a GDP deflator of 110, 10 points above the base…
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💰 Finance & moneyFree
GDP Per Capita Growth Rate Calculator
See how much output per person really grew: 5% GDP growth with 2% population growth gives about 2.941% per capita, not exactly 3%.
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💰 Finance & moneyFree
Giffen Good Check Calculator from Price and Quantity Data
Check whether demand rises with price in your data: prices from 2 to 5 with quantities from 10 to 19 give a fitted slope of 2.9, so the good behaves like a…
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💰 Finance & moneyFree
HDI Education Index Calculator
Turn two schooling figures into the education part of the HDI: 8.5 mean years and 13.2 expected years give an education index of 0.65.
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💰 Finance & moneyFree
HHI market concentration classification
Find out which concentration band an HHI falls into: an HHI of 800 is competitive, below the 1500 threshold, while anything above 2500 counts as highly…
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💰 Finance & moneyFree
Import Expenditure Calculator
Work out what imports cost in total: 800 units at a price of 12.5 each come to 10000, in the same currency as the price.
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💰 Finance & moneyFree
Laffer Curve Tax Revenue Calculator
See how tax revenue rises and then falls as the rate climbs: with a base of 1000000 and a behavioral elasticity of 1.5, a 40% rate sits exactly at the revenue…
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💰 Finance & moneyFree
Lerner index calculator
Gauge how much pricing power a firm has: a price of 100 with a marginal cost of 60 gives a Lerner index of 0.4, or 40%, a moderate level of market power.
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💰 Finance & moneyFree
Loss-Minimizing Output Calculator
Decide whether producing at a loss beats shutting down: at a price of 18 and an average variable cost of 14, making 100 units loses 200, while shutting down…
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💰 Finance & moneyFree
Marginal Cost vs Average Cost: Is ATC Rising or Falling?
Tell which way your average cost is heading: a marginal cost of 18 against an average total cost of 24 means average total cost is falling as output grows.
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💰 Finance & moneyFree
Marginal external cost calculator
Measure the unpaid harm of one more unit: a marginal social cost of 18 against a marginal private cost of 12 leaves a marginal external cost of 6, the cost…
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💰 Finance & moneyFree
Marginal rate of substitution calculator
Find how much of one good a consumer would trade for another: marginal utilities of 10 and 5 give a marginal rate of substitution of 2, so two units of Y for…
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💰 Finance & moneyFree
Marginal Revenue from Total Revenue Calculator
Find the extra revenue per unit between two sales levels: moving from 100 units and 1200 in revenue to 130 units and 1650 adds 450 over 30 units, a marginal…
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💰 Finance & moneyFree
Marginal Social Benefit Calculator
Count the full value of one more unit to society: a private benefit of 45 plus an external benefit of 15 gives a marginal social benefit of 60, the kind of gap…
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💰 Finance & moneyFree
Marginal Utility from Total Utility Calculator
Find the extra satisfaction from consuming more: total utility rising from 42 to 50 as quantity goes from 5 to 6 items means a marginal utility of 8.
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💰 Finance & moneyFree
Optimal markup from demand elasticity
Turn a demand elasticity into the profit-maximizing markup: an elasticity of 2 gives a markup of 100% over marginal cost, a price twice marginal cost and a…
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💰 Finance & moneyFree
Mixed strategy Nash equilibrium 2×2 calculator
Find the mixed-strategy Nash equilibrium of a 2×2 game from its eight payoffs: in matching pennies, each player plays each action with probability 0.5 and…
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💰 Finance & moneyFree
Monopoly Deadweight Loss Calculator for a Linear Market
See how much welfare a monopoly loses by cutting output: with a demand intercept of 100, a slope of 2 and marginal cost of 20, output falls from 40 to 20, price…
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💰 Finance & moneyFree
MPC from MPS calculator
Find how much of extra income gets spent: a household that saves 0.2 of each extra unit of disposable income spends 0.8, because the shares saved and spent…
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💰 Finance & moneyFree
National income from GDP calculator
Go from GDP to national income step by step: GDP of 20000, depreciation of 2500, net foreign factor income of 150 and a statistical discrepancy of 40 give…
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2
Call the endpoint
One authenticated POST. The API returns a task_id immediately — copy-paste snippets in five languages on every page.
3
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Receive a signed webhook the moment it's ready, or fetch a signed link. A failed task is never charged.
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The full API — 7800+ capabilities — billed only for what you run, from $0.002 per call. No monthly fee.
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