Question

A population of 175 snails is increasing at an annual rate of 12%. what will the population

of the snails be in 10 years? round to the nearest hundreths place.
an...
snails

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 &175\\ r=rate\to 12\%\to (12)/(100)\dotfill &0.12\\ t=years\dotfill &10\\ \end{cases} \\\\\\ A=175(1 + 0.12)^(10)\implies A=175(1.12)^(10)\implies A\approx 543.52`