Question

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?

Answer 1

`" 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(1 + (r/100)^n)`

Total number of students after 16 years will be given by

`a_16 = a_i * (1 + (r/100))^16`

`a_16 = 800 * (1.2)^16 ~~ 14,970 " students"`