a town has a population of 11000 and grows at 4% every year. what will be the population after 15 years, to…

Explanation:

Step1: Identify the formula for exponential growth

The formula for exponential growth is $P(t) = P_0(1 + r)^t$, where $P_0$ is the initial population, $r$ is the growth rate (as a decimal), and $t$ is the time in years.

Step2: Plug in the given values

Here, $P_0 = 11000$, $r = 0.04$ (since 4% = 0.04), and $t = 15$. So we calculate $P(15) = 11000(1 + 0.04)^{15}$.

Step3: Calculate the exponent part

First, calculate $(1 + 0.04)^{15}$. Using a calculator, $(1.04)^{15} \approx 1.8009435$.

Step4: Multiply by the initial population

Now, multiply this by 11000: $11000 \times 1.8009435 \approx 19810.3785$.

Step5: Round to the nearest whole number

Rounding 19810.3785 to the nearest whole number gives 19810.

Answer:

19810