Question

a town has a population of 14000 and grows at 2.5% every year. what will be the population after 5 years, to the nearest whole number?

Explanation:

Step1: Identify growth formula

This is exponential growth, use $P = P_0(1 + r)^t$
where $P_0=14000$, $r=0.025$, $t=5$

Step2: Substitute values into formula

$P = 14000(1 + 0.025)^5$

Step3: Calculate the growth factor

$1.025^5 \approx 1.13140821$

Step4: Compute final population

$P = 14000 \times 1.13140821 \approx 15839.71$

Step5: Round to nearest whole number

Round $15839.71$ to 15840

Answer:

15840