The population of a town increases at a rate of [tex]15 \%[/tex] per year. At present, the population is 4000. What will it be after 2 years?

A. 5290
B. 5200
C. 5300
D. 5420



Answer :

To determine the population of the town after 2 years, given its current population is 4000 and it increases at a rate of 15% per year, we'll follow these steps:

1. Initial Setup:
- Current population: 4000
- Growth rate: 15%, which is equivalent to a multiplier of 1.15 per year.

2. Calculate the population after the first year:
- Population after 1 year = Initial population Growth rate
- Population after 1 year = 4000
1.15
- From this calculation, the population after 1 year is 4600.

3. Calculate the population after the second year:
- Using the population at the end of the first year, we apply the growth rate again.
- Population after 2 years = Population after 1 year Growth rate
- Population after 2 years = 4600
1.15
- From this calculation, the population after 2 years is 5290.

Thus, after 2 years, the population of the town will be 5290.

Correct answer is A. 5290