basic

Exponential Growth Calculator

N(t) = N₀ · eʳᵗ — populations, savings, and bacteria.

Project a quantity that grows continuously at a constant rate r over time t, using the standard exponential growth model N(t) = N₀ · eʳᵗ.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

N(t) = N₀ · eʳᵗ; doubling time = ln(2) / r.

In depth

Project a quantity that grows continuously at a constant rate r over time t, using the standard exponential growth model N(t) = N₀ · eʳᵗ.