Question

From 2000 to 2006, the number of students enrolled at a state university increased

by 40%. If the number of students enrolled at the university in 2006 was 10,325,
what was the enrollment in 2000?​

Answer 1

The enrollment in year 2000 was about 1371

Explanation:

Given as :

The number of student enrolled at university in 2006 was 10,325

The increased percentage of student from 2000 to 2006 is 40%

Let the number of students in year 2000 was x

The number of student in 2006 = The number of student in 2000 × (
`(1 +(40)/(100))^(6)`

Or, 10,325 = x ×(
`(1 +(40)/(100))^(6)`

Or, 10,325 = x ×
`((140)/(100))^(6)`

Or, 10,325 = x × 7.529

∴ x =
`(10,325)/(7.529)`

So, x = 1371.364

Hence The enrollment in year 2000 was about 1371 Answer