Algebra & Equations
Exponential Decay
Value after decay at rate r for time t.
Formula
Formula
N = N0 · e−rt
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| N₀ | initial amount | computed result | — | result |
| r | decay rate | real number (ℝ) | — | input |
| t | time | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
GivenN₀ = 100, rate r = 0.1, time t = 5
Result60.65306597
Example 2
GivenN₀ = 500, rate r = 0.03, time t = 20
Result274.405818