Question

a city has a population of 507,000. the population y increases by 2% each year. what will be the population be after 4 years round your answer to the nearest whole person

Answer 1

`\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &507000\\ r=rate\to 2\%\to (2)/(100)\dotfill &0.02\\ t=years\dotfill &4\\ \end{cases} \\\\\\ A = 507000(1 + 0.02)^(4)\implies A=507000(1.02)^4 \implies A=y \approx 548793`