a town has a population of 14000 and grows at 3.5% every year. what will be the population after 14 years…

Explanation:

Step1: Identify the formula

The formula for compound - growth is (P = P_0(1 + r)^t), where (P_0) is the initial population, (r) is the growth rate (as a decimal), and (t) is the time in years. Given (P_0=14000), (r = 0.035) (since (3.5%=0.035)), and (t = 14).

Step2: Substitute the values into the formula

[ \begin{align*} P&=14000\times(1 + 0.035)^{14}\ &=14000\times(1.035)^{14} \end{align*} ]

Step3: Calculate ((1.035)^{14})

Using a calculator, ((1.035)^{14}\approx1.615678)

Step4: Calculate (P)

[ \begin{align*} P&=14000\times1.615678\ &=22619.492 \end{align*} ]

Answer:

(22619)