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In 2016, the number of students in a small town is 5050 . It is estimated that the town's population will increase by 2% each year. In 2050 the town's population will be approximately

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Answer: The estimated population of the town in 2050 would be approximately 9386.

Explanation: To calculate the estimated population of the town in 2050, we need to determine the population growth over the 34-year period from 2016 to 2050. Since the population is estimated to increase by 2% each year, we can use the formula for compound interest to calculate the future population.

The formula for compound interest is:

A = P(1 + r)^n

Where:

A = the future value (population in 2050)

P = the present value (population in 2016)

r = annual growth rate (expressed as a decimal)

n = number of years

Let's calculate the population in 2050:

P = 5050 (population in 2016)

r = 2% = 0.02

n = 2050 - 2016 = 34

A = 5050 * (1 + 0.02)^34

A ≈ 5050 * (1.02)^34

A ≈ 5050 * 1.85864196

A ≈ 9385.59

Therefore, the estimated population of the town in 2050 would be approximately 9386.

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