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math.exponential-growth Calculator
Models exponential growth and decay with initial value, rate, and time, showing both continuous (e^(rt)) and discrete (1+r)^t formulations. The difference between continuous and discrete compounding is significant at high rates over long periods.
Inputs
X0
Starting value before growth or changes are applied.
Rate
Annual percentage increase. Enter as a percentage. Compound growth is exponential — small differences in rate become enormous over long periods.
T
Duration of the process. Make sure units match the rate inputs (seconds, minutes, or hours).
Continuous
Reference formula or conversion factor shown for context.
Results
value at t=
The computed numeric or monetary value.
growth
The absolute increase in value over the period. Growth = final value minus initial value.
doubling time
The computed duration or time value.
tripling time
The computed duration or time value.
growth type
The absolute increase in value over the period. Growth = final value minus initial value.
rule of 72
Reference formula or conversion factor shown for context.