Question

A virus is spreading exponentially. The initial amount of people infected is 40 and it is increasing at a rate of 5% per day.

How many people will be infected with the virus after 12 days?

Round to the nearest whole number

Enter your answer in the box.

Answer 1

remember to round the answer to the nearest whole number making it 72.

Answer 2

`\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=I(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &40\\ r=rate\to 5\%\to (5)/(100)\to &0.05\\ t=\textit{elapsed time}\to &12\\ \end{cases} \\\\\\ A=40(1+0.05)^(12)\implies A=40(1.05)^(12)\implies A\approx 71.8342530`