Question

Taraho had a population of 1200 in 2010. What was the population in 2013 if the continuous growth rate was 1.4%?

Answer 1

so what was the population 3 years later.

`\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1200\\ r=rate\to 1.4\%\to (1.4)/(100)\dotfill &0.014\\ t=years\dotfill &3 \end{cases} \\\\\\ A = 1200(1 + 0.014)^(3) \implies A = 1200( 1.014 )^(3)\implies A \approx 1251`