Exponential Decay Calculator — Formula
## 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)**
### 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)**
Esempio Risolto
1000 decaying at 10% per period for 5 periods.
- Remaining = 1000 × (0.90)^5
- = 1000 × 0.59049
- = 590.49
- Amount lost = 409.51
- Half-life = ln(0.5)/ln(0.90) ≈ 6.58 periods