Enter an initial value, and growth rate percent, and total time into the calculator below to determine the total exponential growth at the given time.

## Exponential Growth Formula

The following formula is used by the calculator above to determine the exponential growth of a value.

*x*(*t*) = *x*_{0} × (1 + *r*)^{ t}

- Where
*x*(*t*) is the final value after time t *x*_{0}is the initial value- r is the rate of growth in percent
- and t is the total time

## Exponential Growth Example

The following example is a step by step guide on determining the total value of a number after some time of exponential growth.

- First, we must determine the initial value. For this example we will assume we are looking at an investment going through exponential growth through interest. Let’s assume a value of $1,000.00.
- The next step is the determine the growth rate r, this would be the interest per time step, so lets assume interest per month. It will be 10%.
- The final step is to determine the total time that has passed. We will say 2 years or 24 months.
- Lastly, enter the information into the formula above to determine your answer.

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