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Practical calculation guides

Answers with formulas and examples

Worked explanations for common finance, health, science, and everyday calculations. Each answer links to a tool you can use with your own values.

How is a monthly mortgage payment calculated?

Monthly mortgage payments (P&I) are calculated using the standard annuity amortization formula based on loan principal (P), monthly interest rate (r), and total number of monthly payments (n).

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What is compound interest and how does it grow over time?

Compound interest is interest earned on both the initial principal deposit and the accumulated interest from previous compounding periods.

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How is Body Mass Index (BMI) calculated and what do the categories mean?

BMI is calculated by dividing body weight in kilograms by height in meters squared (or weight in pounds multiplied by 703 divided by height in inches squared).

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How do you calculate Basal Metabolic Rate (BMR) and Total Daily Energy Expenditure (TDEE)?

BMR is calculated using the Mifflin-St Jeor equation, then multiplied by an activity factor (1.2 to 1.9) to determine TDEE (total calories burned per day).

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What is the Ideal Gas Law (PV = nRT) and how is it used in chemistry & physics?

The Ideal Gas Law relates the Pressure (P), Volume (V), Amount of substance in moles (n), and absolute Temperature (T) of a hypothetical ideal gas using the gas constant R (0.082057 L·atm/(mol·K)).

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How do you find the hypotenuse or missing side of a right triangle?

Using the Pythagorean Theorem (a² + b² = c²), where c represents the hypotenuse (the side opposite the 90-degree right angle) and a, b are the adjacent legs.

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How do auto loan terms, interest rates, and trade-in values affect car payments?

Car loan payments amortize the vehicle purchase price (minus down payment and trade-in value, plus sales tax and dealer fees) over 24 to 84 monthly installments.

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How do you calculate cubic yards for concrete slabs, mulch, and topsoil?

Multiply length (ft) by width (ft) by depth (converted to ft by dividing inches by 12) to get cubic feet, then divide by 27 to get cubic yards.

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