479,102 views
15 votes
15 votes
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

User Derflocki
by
3.0k points

2 Answers

14 votes
14 votes

Final answer:

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.

User Ozmank
by
2.6k points
28 votes
28 votes

Answer: 1,055,394

Step-by-step explanation:

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

User Giuseppe Salvatore
by
2.5k points