Exponential Growth Calculator

Formula

The formula to calculate exponential growth is:

\[ x(t) = x0 \times (1 + r)^t \]

Where:

\(x(t)\) is the final value after time \(t\)
\(x0\) is the initial value
\(r\) is the rate of growth in percent
\(t\) is the total time in years

Exponential Growth Definition

Exponential growth is defined as the growth of an object or asset that is described or can be modeled by an exponential function like the one above. Exponential functions grow "exponentially" with each step forward.

Exponential Growth Example

Let's assume the following:

Initial Value (\(x0\)): 1000
Growth Rate (\(r\)): 5%
Time (\(t\)): 10 years

Step 1: Calculate the final value:

\[ x(t) = 1000 \times (1 + 0.05)^{10} \approx 1628.89 \]

Therefore, the final value after 10 years is approximately 1628.89.