Exponential Growth/Decay Calculator with formulas

Enter initial value (x0):
Enter growth/decay rate (r):		%
Enter time (t):
Value at time t (x(t)):

Example

x₀ = 50

r = 4% = 0.04

t = 90 hours

x(t) = x₀ × (1 + r) ^t = 50×(1+0.04)⁹⁰ = 1706

Online exponential growth/decay calculator.

The exponential growth calculator calculates the final value of some quantity, given its initial value, rate of growth and elapsed time. .. . An alternative way of writing the exponential growth equation. Example on how to use the formula for exponential decay.

Exponential growth/decay formula

x(t) = x₀ × (1 + r) ^t

x(t) is the value at time t.

x₀ is the initial value at time t=0.

r is the growth rate when r>0 or decay rate when r<0, in percent.

t is the time in discrete intervals and selected time units.

Exponential growth calculator

Enter the initial value x₀, growth rate r and time interval t and press the = button: