question\na town has a population of 9000 and grows at 3% every year. what will be the population after 9…

Explanation:

Step1: Recall compound growth formula

The formula for compound population growth is $P(t) = P_0(1 + r)^t$, where $P_0$ is initial population, $r$ is annual growth rate, $t$ is time in years.

Step2: Identify given values

$P_0 = 9000$, $r = 0.03$, $t = 9$

Step3: Substitute values into formula

$P(9) = 9000(1 + 0.03)^9$

Step4: Calculate the growth factor

First compute $(1.03)^9 \approx 1.304773184$

Step5: Compute final population

$P(9) = 9000 \times 1.304773184 \approx 11742.95866$

Step6: Round to nearest whole number

Round $11742.95866$ to the nearest integer.

Answer:

11743