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CAGR Formula

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

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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Health

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Calorie Needs Formula

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

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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Finance

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Capital Gains Tax Calculation Formula

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

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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Real Estate

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Carpet Area Formula

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

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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Unit Converters

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Celsius to Fahrenheit Formula

$$°F = (°C \times 9/5) + 32$$

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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Unit Converters

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Centimeters to Inches Formula

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

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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Mathematics & Education

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CGPA to Percentage Formula

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

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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Mathematics & Education

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Clicks Per Second (CPS) Formula

$$CPS = \frac{\text{Total Clicks}}{\text{Duration (seconds)}}$$

The Clicks Per Second (CPS) formula measures finger tapping frequency over a fixed time interval. It evaluates click speed, finger stamina, and mouse control. CPS is a standard metric used in competitive gaming (such as Minecraft PvP, FPS games, and rhythm titles) and speed testing to benchmark player reflexes.

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Finance

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Compound Interest Formula

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

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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Finance

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Compound Savings Formula

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

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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