**Example**

*x*_{0} = 50

*r* = 4% = 0.04

*t* = 90 hours

*x*(*t*) = *x*_{0} × (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*) = *x*_{0} × (1 + *r*) ^{t}

*x*(t) is the value at time t.

*x*_{0} 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 *x*_{0}, growth rate r and time interval t and press the = button: