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?​

Respuesta :

Answer:

The enrollment in year 2000 was about 1371  

Step-by-step 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 × ( [tex](1 +\frac{40}{100})^{6}[/tex]

Or, 10,325 = x ×( [tex](1 +\frac{40}{100})^{6}[/tex]

Or, 10,325 = x × [tex](\frac{140}{100})^{6}[/tex]

Or, 10,325 = x × 7.529

∴ x = [tex]\frac{10,325}{7.529}[/tex]

So, x = 1371.364

Hence The enrollment in year 2000 was about 1371    Answer

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