Question

A town had a population of 2000 and grows at 4.5 percent every year. What will be the population after 13 years?

A) 3000
B) 4500
C) 5200
D) 7700

Answer 1

The population of the town after 13 years will be approximately 3006.

Step-by-step explanation:

To calculate the population after 13 years, we can use the formula for exponential growth: P = P0(1 + r)^t, where P is the final population, P0 is the initial population, r is the growth rate (in decimal form), and t is the number of years.

In this case, the initial population is 2000 and the growth rate is 4.5% or 0.045. Plugging in these values, we get:
P = 2000(1 + 0.045)^13

Using a calculator, we can evaluate this expression to find that the population after 13 years will be approximately 3006.