Result

Initial amount (P_{0}) |
100 |

Growth rate (r) | -.065 = -6.5% |

Time (t) | 12 |

Final amount (P(t)) | 45.8406011305 |

The Exponential Growth Calculator is used to solve exponential growth problems. It will calculate any one of the values from the other three in the exponential growth model equation.

Exponential growth is a specific way in which an amount of some quantity can increase over time. It occurs when the instantaneous exchange rate of an amount with respect to time is proportional to the amount itself.

The following is the exponential growth formula:

P(t) = P_{0}e^{rt}

where:

P(t) = the amount of some quantity at time t

P_{0} = initial amount at time t = 0

r = the growth rate

t = time (number of periods)