Question

a town has a population of 13000 and grows at 5% every year. what will be the population after 11 years, to the nearest whole number?

Explanation:

Step1: Identify growth formula

This is exponential growth, use $P(t) = P_0(1+r)^t$, where $P_0=13000$, $r=0.05$, $t=11$.

Step2: Substitute values

$P(11) = 13000(1+0.05)^{11}$

Step3: Calculate growth factor

$(1.05)^{11} \approx 1.710339358$

Step4: Compute final population

$13000 \times 1.710339358 \approx 22234.41165$

Step5: Round to whole number

Round $22234.41165$ to nearest integer.

Answer:

22234