Question

a town has a population of 2000 and grows at 4% every year. what will be the population after 15 years, to the nearest whole number?

Explanation:

Step1: Identify growth formula

This is exponential growth, use $P(t) = P_0(1+r)^t$
Where $P_0=2000$, $r=0.04$, $t=15$

Step2: Substitute values into formula

$P(15) = 2000(1+0.04)^{15}$

Step3: Calculate the growth factor

$(1.04)^{15} \approx 1.800943505$

Step4: Compute final population

$2000 \times 1.800943505 \approx 3601.887$

Step5: Round to nearest whole number

Round $3601.887$ to 3602

Answer:

3602