CAGR Formula

Finance
$$CAGR = \left(\frac{EV}{BV}\right)^{\frac{1}{n}} - 1$$

Compound Annual Growth Rate (CAGR) is the geometric progression ratio that provides a constant rate of return over a specified time period. It is one of the best tools for comparing investment returns across different assets (like mutual funds vs gold vs FDs) over multi-year horizons because it smooths out volatility.

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Calorie Needs Formula

Health
$$\begin{aligned} BMR &= 10W + 6.25H - 5A + s \\ \text{Target Calories} &= (BMR \times \text{Activity Multiplier}) + \text{Goal Adjustment} \end{aligned}$$

This formula extends the Mifflin-St Jeor TDEE calculation one step further by applying a calorie surplus or deficit based on a specific weight goal, producing a single daily calorie target. It relies on the widely-used approximation that roughly 500 kcal of daily deficit or surplus corresponds to about 0.5 kg (1 lb) of body weight change per week.

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Capital Gains Tax Calculation Formula

Finance
$$\text{Net Capital Gain} = \text{Sale Consideration} - (\text{Indexed Cost of Acquisition} + \text{Transfer Expenses})$$

Capital Gains Tax is levied on net profit realized from selling capital assets like shares, equity funds, debt funds, gold, or real estate. Holding period determines classification into Short-Term (STCG) or Long-Term (LTCG) gains.

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Carpet Area Formula

Real Estate
$$\text{Carpet Area} = \text{Super Built-Up Area} \times \left(1 - \frac{\text{Common Area}\%}{100}\right) \times \left(1 - \frac{\text{Wall}\%}{100}\right)$$

Carpet Area, Built-Up Area, and Super Built-Up Area are the three RERA-defined area measures used across Indian real estate listings. Carpet Area is the actual usable floor space within the walls of a unit, while Super Built-Up Area — the figure most often quoted in pricing — adds walls, balconies, and a proportionate share of shared building amenities. This formula lets a buyer work backward from the quoted saleable area to the real usable space.

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Celsius to Fahrenheit Formula

Unit Converters
$$°F = (°C \times 9/5) + 32$$

To convert a temperature reading from Celsius (°C) to Fahrenheit (°F), multiply the Celsius value by 9/5 (or 1.8) and then add 32 to account for the freezing point baseline difference.

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Centimeters to Inches Formula

Unit Converters
$$\text{Inches} = \frac{\text{Centimeters}}{2.54}$$

By international agreement, 1 inch is defined as exactly 2.54 centimeters. To convert centimeters to inches, divide the length in centimeters by 2.54.

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CGPA to Percentage Formula

Mathematics & Education
$$\text{Percentage (\%)} = \text{CGPA} \times 9.5$$

The CGPA to Percentage conversion formula calculates equivalent percentage marks from CGPA scores for CBSE (CGPA × 9.5), AICTE/VTU ((CGPA - 0.75) × 10), and Mumbai University.

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Compound Interest Formula

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

Compound interest is the interest calculated on the initial principal, which also includes all of the accumulated interest from previous periods. Unlike simple interest, compound interest allows your money to grow exponentially because you earn interest on interest.

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Compound Savings Formula

Finance
$$A = P \times \left(1 + \frac{r}{n}\right)^{nt} + PMT \times \frac{\left(1 + \frac{r}{n}\right)^{nt} - 1}{\frac{r}{n}}$$

The Compound Savings Formula computes the total future wealth accumulated from an initial starting deposit (P) plus regular periodic additions (PMT) earning compound interest over time (t).

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Concrete Volume Calculation Formula

Real Estate & Construction
$$\text{Volume (Cu Yds)} = \frac{\text{Length (ft)} \times \text{Width (ft)} \times \text{Thickness (in)}}{12 \times 27}$$

Concrete volume formula computes cubic yards or cubic meters of wet ready-mix concrete required to pour rectangular slabs, footings, steps, or columns.

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