Question

6.The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4% each year. To the nearest whole number, what will the student population be closest to in 3 years?

Answer 1

The student population in 3 years
`= 2249`

Step-by-step explanation:

Given

Initial number of students in the Brentwood Student Center
`=2000`

The rate of increase of enrollment per year is
`4`%

Population of student after 1 year

`2000 + (4)/(100) *2000\\= 2000 + 80\\= 2080`

Population of student after 2 year

`2080 + (4)/(100) *2080\\= 2080 + 83.2\\= 2163.2`

Population of student after 3 year

`2163.2 + (4)/(100) *2163.2\\= 2163.2 + 86.528\\= 2249\\`

The student population in 3 years
`= 2249`