In 2007, the enrollment at Mainland Highschool was 1480 students. Administrators predict that the enrollment will increase 2.7% each year.  A) Define a function h that determines student enrollment in terms of the number of years,t, since 2007. b) Determine when the enrollment at Mainland high school is expected to reach 1652 students. c) Define a function h^-1 that gives the number of years since 2007 in terms of student enrollment.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
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In 2007, the enrollment at Mainland Highschool was 1480 students. Administrators predict that the enrollment will increase 2.7% each year. 

A) Define a function h that determines student enrollment in terms of the number of years,t, since 2007.

b) Determine when the enrollment at Mainland high school is expected to reach 1652 students.

c) Define a function h^-1 that gives the number of years since 2007 in terms of student enrollment. 

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In 2007, the enrollment at Mainland High school was 1480 students

so take a=1480 (initial value)

and the given growth rate is r=2.7%=0.027

let t=number oof years after 2007

the exponential function is given by

y=a(1+r)^t

y=1480\left(1+0.027\right)^t

{\color{Red} y=1480\left(1.027\right)^t}................answer(a)

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