Inflation Purchasing Power Formula

Finance
$$\text{Future Value} = \text{Present Value} \times (1 + i)^n, \quad \text{Purchasing Power} = \frac{\text{Present Value}}{(1 + i)^n}$$

Inflation formulas measure how rising consumer price indices erode money purchasing power over time, calculating equivalent future cost of living requirements.

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Inflation Rate Formula

Finance
$$\text{Inflation Rate (\%)} = \left( \frac{\text{CPI}_{t} - \text{CPI}_{t-1}}{\text{CPI}_{t-1}} \right) \times 100$$

The Inflation Rate Formula calculates the percentage change in the Consumer Price Index (CPI) over a specific period, measuring price inflation and purchasing power loss.

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Kilograms to Pounds Formula

Unit Converters
$$\text{Pounds (lbs)} = \text{Kilograms (kg)} \times 2.20462262$$

One kilogram is equal to approximately 2.20462262 pounds. To convert kilograms to pounds, multiply the mass in kilograms by 2.20462262.

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Kilometers to Miles Formula

Unit Converters
$$\text{Miles} = \text{Kilometers} \times 0.621371$$

One kilometer equals approximately 0.621371 statute miles (or 1 mile = 1.609344 kilometers). To convert kilometers to miles, multiply by 0.621371.

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LCM & HCF (GCD) Formula

Mathematics & Education
$$\text{LCM}(a, b) \times \text{HCF}(a, b) = a \times b \quad \implies \quad \text{LCM}(a, b) = \frac{a \times b}{\text{HCF}(a, b)}$$

The Least Common Multiple (LCM) is the smallest positive integer divisible by all numbers in a set, while the Highest Common Factor (HCF or GCD) is the largest integer that divides all numbers without a remainder. For any two positive integers, the product of their LCM and HCF equals the product of the numbers.

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Lean Body Mass Formula

Health
$$\begin{aligned} \text{Boer (Male):} \quad &LBM = 0.407W + 0.267H - 19.2 \\ \text{Boer (Female):} \quad &LBM = 0.252W + 0.473H - 48.3 \end{aligned}$$

Lean Body Mass represents everything in the body except fat. The Boer formula estimates it directly from weight and height using gender-specific regression coefficients, without requiring a body fat percentage measurement. It is commonly averaged together with other validated equations (James, Hume formulas) for a more robust estimate, and is useful for tracking muscle mass and setting nutrition targets independent of fat mass changes.

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Liters to Gallons Formula

Unit Converters
$$\text{Gallons (US)} = \text{Liters} \times 0.264172$$

One US liquid gallon equals 3.78541 liters (approx 0.264172 US gallons per liter). An Imperial UK gallon equals 4.54609 liters.

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Lumpsum Mutual Fund Formula

Finance
$$A = P \times \left(1 + \frac{r}{n}\right)^{n \cdot t}$$

The Lumpsum Mutual Fund Formula calculates the future value of a one-time upfront investment based on compound interest. It models how capital appreciates over time when 100% of the funds compound continuously or periodically.

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Macro Split Formula

Health
$$\text{Protein (g)} = \frac{\text{Calories} \times P\%}{4}, \quad \text{Carbs (g)} = \frac{\text{Calories} \times C\%}{4}, \quad \text{Fat (g)} = \frac{\text{Calories} \times F\%}{9}$$

Once a daily calorie target is set, that budget must be split across the three macronutrients. Each diet archetype allocates a different percentage of calories to protein, carbs, and fat — for example, a ketogenic diet allocates only 5% to carbs and 75% to fat, while a balanced diet spreads more evenly. Converting each macro's calorie share into grams requires dividing by its calories-per-gram value (4 for protein/carbs, 9 for fat, since fat is more energy-dense).

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Mean, Median, Mode & Range Formula

Mathematics & Education
$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}, \quad \text{Median} = x_{\left(\frac{n+1}{2}\right)}$$

Central tendency formulas calculate the arithmetic average (Mean), middle ranking value (Median), most repeated entry (Mode), and total statistical spread (Range) for a numerical dataset.

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