# Exponential Growth Calculator

This exponential growth calculator is used to measure the geometric population growth and geometric decay growth at time T.

## How exponential growth calculator works

Exponential growth is a specific way that a quantity may increase over time.it is also called geometric growth or geometric decay since the function values form a geometric progression.

__Exponential Population Growth Formulas:__ :

To measure the geometric population growth.

P(t) = P_{0} e^{k × t}

Where,

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

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

exponential (e) = 2.718281828459045

k = the continous growth rate.It is also called proportionality.

t = time (number of periods) or Elasped time in years from time zero

__Exponential Decay Growth Formulas:__ :

To measure the geometric decay growth.

P(t) = P_{0} e^{-k × t}

Where,

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

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

k = the continous decay rate

t = time (number of periods) or Elasped time in years from time zero

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