Model exponential growth and decay with continuous or compound formulas, including doubling and halving times.
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Method
About this calculator
Models exponential growth using A = P × e^(rt). Useful for population growth, compound interest, and bacterial growth modelling.
Result
Final value after exponential growth over the given time period.
Step-by-step
Also in Calculus
Calculus
An exponential growth and decay calculator computes future values using continuous (e^rt) or compound ((1+r)^t) formulas. It also finds doubling time for growth and half-life for decay.
Continuous model: A = P·e^(rt) for growth, A = P·e^(−rt) for decay. Compound model: A = P·(1+r)^t for growth, A = P·(1−r)^t for decay.
Doubling time is ln(2)/r and half-life is also ln(2)/r, regardless of which model is used.
A = P · e^(rt)
Continuous exponential growth.
t₂ = ln(2) / r
Doubling time (or half-life).
Frequently asked questions
Use continuous when growth happens constantly (like bacteria or radioactive decay). Use compound when growth occurs at discrete intervals (like annual interest).
They use the same formula — ln(2)/r — but doubling time applies to growth while half-life applies to decay.
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