Exponential Growth Calculator
See growth compound over time.
Exponential Growth Calculator
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Calculated instantly
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What This Calculator Does
The Exponential Growth Calculator models how quantities grow or decay over time using the exponential model. It handles population growth, radioactive decay, and compound increase.
How It Works
y = y0 x e^(rt). y0 is the initial value, r is the growth rate, t is time. Positive r = growth, negative r = decay.
Example
Starting at 100, growing at 5% for 10 years: 100 x e^(0.05 x 10) = 164.87.
Formula
y = y0 * e^(rt)Reading the Results
Final Value
The value after time t at the given growth rate.
Frequently Asked Questions
What is exponential growth?
Growth where the rate of increase is proportional to the current value, producing an accelerating curve.
What is the doubling time formula?
Doubling time = ln(2) / r, where r is the growth rate as a decimal.
Does exponential growth go on forever?
In theory, yes. In reality, constraints (resources, space, time) eventually limit growth.