a town has a population of 17000 and grows at 4% every year. what will be the population after 12 years, to…

Explanation:

Step1: Use the compound - growth 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=17000), (r = 0.04), and (t = 12).

Step2: Substitute the values into the formula

[ \begin{align*} P&=17000\times(1 + 0.04)^{12}\ &=17000\times(1.04)^{12} \end{align*} ]

Step3: Calculate ((1.04)^{12})

Using a calculator, ((1.04)^{12}\approx1.601032218)

Step4: Calculate (P)

[ \begin{align*} P&=17000\times1.601032218\ &=27217.54771 \end{align*} ]

Answer:

(27218)