# There are 800 students in a certain highschool in 2001. the trend during the previous years shows a yearly increase of 20% in enrollment. What will the enrollment be in 16 years?

Mar 22, 2018

 " Total number of students after 16 years will be " color(brown)(14,970

#### Explanation:

Increase in number of students enrolled is compounded by 20% every year.

Hence it follows compound interest formula of

$A = P \left(1 + {\left(\frac{r}{100}\right)}^{n}\right)$

Total number of students after 16 years will be given by

${a}_{16} = {a}_{i} \cdot {\left(1 + \left(\frac{r}{100}\right)\right)}^{16}$

${a}_{16} = 800 \cdot {\left(1.2\right)}^{16} \approx 14 , 970 \text{ students}$