Question

The population of a certain geographic region is approximately 133 million and grows continuously at a relative growth rate of 1.59%. What will the population be in 6 years? Compute the answer to three significant digits.

Answer 1

$\bf \textit{Amount for Exponential change}\\\\ A=P(1\pm r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{starting amount}\to &133\\ r=rate\to 1.59\%\to \frac{1.59}{100}\to &0.0159\\ t=\textit{elapsed years}\to &6\\ \end{cases} \\\\\\ \textit{the population is growing, so is a positive rate, +r} \\\\\\ A=133(1+0.0159)^6$