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A school has an enrolment of 1500 students. The student population is expected to grow at a rate of 1.3% for each year for the next 5 years. Estimate the number of students enrolled 4 years from now.

User Zeeba
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Answer:

To estimate the number of students enrolled 4 years from now, we can use the formula for compound interest, as the student population is expected to grow at a rate of 1.3% annually.

The formula for compound interest is:

A = P(1 + r)^n

Where:

A is the final amount (number of students enrolled after n years)

P is the initial amount (current number of students)

r is the growth rate (expressed as a decimal)

n is the number of years

In this case, we have:

P = 1500 (current number of students)

r = 0.013 (1.3% expressed as a decimal)

n = 4 (number of years from now)

Substituting these values into the formula, we get:

A = 1500(1 + 0.013)^4

Calculating this expression, we find:

A ≈ 1500(1.013)^4 ≈ 1630.9

Therefore, the estimated number of students enrolled 4 years from now is approximately 1631.

Please note that this is an estimation based on the assumption of a constant growth rate. Actual enrollment numbers may vary depending on various factors.

Explanation:

User Paul Manzotti
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