Algebra & Equations
Exponential Growth
Value after growth at rate r for time t.
Formula
Formula
N = N0 · ert
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| N₀ | initial amount | computed result | — | result |
| r | growth rate | real number (ℝ) | — | input |
| t | time | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
GivenN₀ = 100, rate r = 0.05, time t = 10
Result164.8721271
Example 2
GivenN₀ = 1, rate r = 0.7, time t = 5
Result33.11545196