Question

a town has a population of 14000 and grows at 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 $P_0=14000$, $r=0.05$, $t=14$.

Step2: Substitute values into formula

$$P(14) = 14000(1+0.05)^{14}$$

Step3: Calculate the growth factor

First compute $(1.05)^{14} \approx 1.979931599$

Step4: Multiply by initial population

$$P(14) \approx 14000 \times 1.979931599$$

Step5: Compute final value

$$P(14) \approx 27719.04239$$

Answer:

27719