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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 :

Answer:

The student population in 3 years [tex]= 2249[/tex]

Explanation:

Given

Initial number of students in the Brentwood Student Center [tex]=2000[/tex]

The rate of increase of enrollment per year is [tex]4[/tex]%

Population of student after 1 year

[tex]2000 + \frac{4}{100} *2000\\= 2000 + 80\\= 2080[/tex]

Population of student after 2 year

[tex]2080 + \frac{4}{100} *2080\\= 2080 + 83.2\\= 2163.2[/tex]

Population of student after 3 year

[tex]2163.2 + \frac{4}{100} *2163.2\\= 2163.2 + 86.528\\= 2249\\[/tex]

The student population in 3 years [tex]= 2249[/tex]

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