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?

1 Answer
sankarankalyanam
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(1 + (r/100)^n)#

http://www.bidproposal.com/monthly-compound-interest-formula/

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"#

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