Exponential Decay Calculator
Calculate exponential decay over time. Model radioactive decay, depreciation, or cooling.
%
Remaining
590.49
Lost409.51
Pct Remaining59.05 %
Half Life6.58
Exponential Decay
Formula
Remaining = Initial × (1 - r)^t
where r is the decay rate per period and t is the number of periods.
Half-Life
The time for the quantity to reduce to half:
t½ = ln(0.5) / ln(1 - r)
Example Calculation
1000 decaying at 10% per period for 5 periods.
- 01Remaining = 1000 × (0.90)^5
- 02= 1000 × 0.59049
- 03= 590.49
- 04Amount lost = 409.51
- 05Half-life = ln(0.5)/ln(0.90) ≈ 6.58 periods
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