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------------------------------------------------ The initial population of a town is 3700, and it grows with a doubling time of 10 years.

a. What will the population be in 12 years?

To find the population in 12 years, divide the time period of 12 years by the doubling time to get the number of doubling times. Then, multiply the initial population by 2 raised to the power of the number of doubling times.

Explanation:

To find the population in 12 years, we need to determine the number of doubling times from the initial population of 3700 to the year 12. Since the doubling time is 10 years, we divide the time period of 12 years by the doubling time: 12 / 10 = 1.2.

This tells us that the population will double 1.2 times in 12 years. To calculate the final population, we multiply the initial population by 2 raised to the power of 1.2: 3700 * (2^1.2) = 5384.28.

Therefore, the population will be approximately 5384 in 12 years.