What you provide
What you provide
- Initial quantity, using the same scenario as the other inputs
- Decay rate per period expressed in %, using the same scenario as the other inputs
- Number of periods, using the same scenario as the other inputs
MATH / GROWTH MODELS
Exponential Decay Calculator
Project discrete percentage decay from an initial quantity over repeated periods. Review the equation, substituted values, result context, and modelling limits in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Project discrete percentage decay from an initial quantity over repeated periods. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
N(t)=N_0(1-r)^t
What you receive
What you receive
- Remaining quantity from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The decay fraction is constant, nonnegative, and applied once per period.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors