This Exponential Growth/Decay Calculator helps you calculate the final value of a quantity over time based on an initial value, a growth or decay rate, and a specified time period. It's perfect for modeling real-world situations like population growth, investment returns, radioactive decay, and more.
How it works:
- Initial Value (N1): The starting amount or population at time zero.
- Growth/Decay Rate (R): The percentage rate at which the quantity increases (growth) or decreases (decay) over time.
- For growth, the rate is positive (e.g., 5% per year).
- For decay, the rate is negative (e.g., -5% per year).
- Time (H): The duration over which the growth or decay occurs, typically in years, months, or other time units.
Formula:
The calculator uses the exponential formula to calculate the final value:
- For Growth:
N = N_1 x (1 + R/100)^H
- For Decay:
N = N_1 x (1 - |R|/100)^H
Where:
- N is the final value after time H
- N_1 is the initial value
- R is the growth/decay rate
- H is the time
This tool provides quick and accurate calculations, helping you understand how a quantity evolves over time based on its growth or decay rate.
