a town has a population of 2000 and grows at 4% every year. what will be the population after 15 years, to…

Answer:

3601

Explanation:

Step1: Identify the formula

The formula for compound - growth is $A = P(1 + r)^t$, where $P$ is the initial population, $r$ is the growth rate as a decimal, and $t$ is the number of years.

Step2: Convert the growth rate

Given $r = 4%=0.04$, $P = 2000$, and $t = 15$.

Step3: Substitute values into the formula

$A=2000\times(1 + 0.04)^{15}$.

Step4: Calculate $(1 + 0.04)^{15}$

$(1 + 0.04)^{15}=1.04^{15}\approx1.8009435$.

Step5: Calculate the final population

$A = 2000\times1.8009435\approx3601.887\approx3601$.