The formula to calculate the population size after a certain number of years is:
\[ x(t) = x_0 \times (1 + r)^t \]
where \( x(t) \) is the final population after time \( t \), \( x_0 \) is the initial population, \( r \) is the rate of growth, and \( t \) is the total time (number of years).
Population growth is defined as the percentage increase in a population over a given time period. It is calculated using the initial population, the growth rate, and the time period.
Let's assume we have the following values:
Step 1: Calculate the growth factor:
\[ (1 + 0.05)^{10} \approx 1.6289 \]
Step 2: Multiply the initial population by the growth factor:
\[ 1000 \times 1.6289 \approx 1628.89 \]
Therefore, the population after 10 years is approximately 1628.89.
