Question

Wayne County has a population of 409,000 people, which increases by 9% every year due to

a growing tech industry. What will the population be in 11 years?
If necessary, round your answer to the nearest whole number.
people

Answer 1

To find the population in 11 years, we need to calculate the population growth over the years. Using the formula for exponential growth, we calculate that the population will be around 1,039,379 people in 11 years.

Step-by-step explanation:

To find the population in 11 years, we need to calculate the population growth over the years. We can use the formula:

`New Population = Current Population * (1 + Growth Rate)^Number of Years`

Given that the current population is 409,000 and it increases by 9% every year, the growth rate is 0.09. Plugging in the values, we get:

`New Population = 409,000 * (1 + 0.09)^11= 409,000 * 1.09^11`

Using a calculator, we find that the new population is approximately 1,039,379. Therefore, the population will be around 1,039,379 people in 11 years.

Answer 2

Answer: 1,055,394

Step-by-step explanation:

409,000 x (0.09 + 1)^11 = 1,055,394