Question

a town has a population of 14000 and grows at 3.5% every year. what will be the population after 14 years, to the nearest whole number?

Explanation:

Step1: Identify growth formula

This is exponential growth, use $P(t) = P_0(1+r)^t$, where $P_0=14000$, $r=0.035$, $t=14$.

Step2: Substitute values into formula

$P(14) = 14000(1+0.035)^{14}$

Step3: Calculate growth factor

First compute $1.035^{14} \approx 1.61869$

Step4: Compute final population

$14000 \times 1.61869 \approx 22661.66$

Step5: Round to nearest whole number

Round 22661.66 to 22662

Answer:

22662