# Exponential Growth with a = , r = 0.05, p = 400, t = 6

Enter 3 out of 4 items below. Leave the item you want to calculate blank:
Final ValueInitial ValueRateTime

You start with an initial value of 400 which accumulates exponentially at a rate of 0.05 for 6 units of time? How much is your initial value now?

Since r = 0.05 is greater than zero, we have an exponential growth equation

## The exponential growth equation is as follows:

Pert = A where P is your initial starting value, r is your rate,
and t is time it takes to grow your initial investment/amount to A, your final value. Note: e is Eulers Constant = 2.718281828459

## Plugging in our known values, we get:

A = 400e(0.05)(6)
A = 400e0.3
A = 400(1.349858807576)
A = 539.9435230304

Therefore, 400 which accumulates exponentially at a rate of 0.05 for 6 units of time has a value of 539.9435230304

Therefore, 400 which accumulates exponentially at a rate of 0.05 for 6 units of time has a value of 539.9435230304

### How does the Exponential Growth Calculator work?

This solves for any 1 of the 4 items in the exponential growth equation or exponential decay equation, Initial Value (P), Ending Value (A), Rate (r), and Time (t).
This calculator has 4 inputs.

### What 2 formulas are used for the Exponential Growth Calculator?

1. Pert = A
2. e is Eulers Constant = 2.718281828459

For more math formulas, check out our Formula Dossier

### What 5 concepts are covered in the Exponential Growth Calculator?

decay
Reduction in size from decomposition
exponential
of or relating to an exponent
exponential growth
growth whose rate increase in proportion to the total number
rate
the ratio between two related quantities in different units. A measure, quantity, or frequency.
time
a point of time as measured in hours and minutes past midnight or noon