c+CalcLantern

Exponential growth & decay

Model continuous growth or decay over a time interval.

How this works

Q(t)=Q₀eʳᵗ; enter the continuous rate, not an effective annual percentage.

Example

Using the example inputs, final quantity is 164.87212707.

Initial quantity
100
Continuous rate per period (%)
5
Elapsed periods
10
Final quantity
164.87212707

Scope and assumptions

Assumes a constant rate without capacity limits.

OpenStax mathematics

Related calculators

Real nth root

Logarithmic equation

Complex arithmetic

Percentage

Quadratic graph

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