1. What is the Growth/Decay Percentage Equation?

The Growth/Decay Percentage equation calculates the percentage change from continuous growth or decay processes. It's derived from the exponential growth formula and is commonly used in finance, biology, and physics.

2. How Does the Calculator Work?

The calculator uses the equation:

Where:

• \( k \) — Growth/decay constant (positive for growth, negative for decay)
• \( t \) — Time period
• \( e \) — Euler's number (~2.71828)

Explanation: The equation converts continuous exponential growth/decay into a percentage change over a given time period.

3. Importance of Growth/Decay Calculation

Details: This calculation is essential for understanding compound interest, population growth, radioactive decay, and other natural processes that follow exponential patterns.

4. Using the Calculator

Tips: Enter the growth/decay constant (k) and time period (t). Positive k values indicate growth, negative values indicate decay. Time must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between this and simple percentage growth?
A: This calculates continuous compounding, while simple percentage growth assumes discrete intervals.

Q2: How do I know if k represents growth or decay?
A: Positive k values mean growth, negative values mean decay.

Q3: What units should I use for time?
A: The time units should match the units of your growth constant (e.g., if k is per year, t should be in years).

Q4: Can this be used for financial calculations?
A: Yes, it's perfect for calculating continuously compounded interest.

Q5: What does a negative percentage mean?
A: A negative percentage indicates decay or reduction over the time period.