a town has a population of 2000 and grows at 4.5% every year. what will be the population after 13 years, to…

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 percentage to a decimal

Given $r = 4.5%=0.045$, $P = 2000$, and $t = 13$.

Step3: Substitute the values into the formula

$A=2000\times(1 + 0.045)^{13}$. First, calculate $(1 + 0.045)^{13}$. Using a calculator, $(1.045)^{13}\approx1.77277$. Then, $A = 2000\times1.77277$. $A=3545.54$.

Step4: Round to the nearest whole number

Rounding $3545.54$ to the nearest whole number gives $3546$.

Answer:

$3546$