Exponential Growth/Decay Calculator
Visualize and calculate exponential growth or decay with ease. Enter the initial value, rate, and time to predict future values.
Input Parameters
Formula
- P(t) = Predicted value at time t
- P₀ = Initial value
- r = Growth/decay rate (as a decimal)
- t = Time points
Visualization
Understanding Exponential Growth and Decay
Exponential growth and decay describe how a quantity changes over time at a rate proportional to its current value. Exponential growth occurs when the rate is positive, leading to a rapid increase over time, like in population growth or compound interest. Exponential decay happens when the rate is negative, causing a rapid decrease, such as in radioactive decay or depreciation of assets. The formula $$ P(t) = P_0 (1 + r)^t $$ models this, where P(t) is the future value, P₀ is the initial value, r is the growth/decay rate, and t is time. This calculator helps you predict outcomes in scenarios exhibiting exponential behavior.