a town has a population of 14000 and grows at 2.5% every year. what will be the population after 5 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 growth rate to a decimal

Given $r = 2.5%=\frac{2.5}{100}=0.025$, $P = 14000$, and $t = 5$.

Step3: Substitute the values into the formula

$A=14000\times(1 + 0.025)^5$. First, calculate $(1 + 0.025)^5=(1.025)^5$. $(1.025)^5=1.025\times1.025\times1.025\times1.025\times1.025\approx1.13140821$. Then, $A = 14000\times1.13140821\approx15839.7149$.

Step4: Round to the nearest whole number

Rounding $15839.7149$ to the nearest whole number gives $15840$.

Answer:

$15840$