a town in the us has a population of 19474. its population is decreasing at a rate of 0.3%.\n\ndetermine the…

Explanation:

Step1: Define decay formula

The formula for exponential decay is $P(t) = P_0(1 - r)^t$, where $P_0$ is initial population, $r$ is decay rate, $t$ is time in years.

Step2: Plug in given values

$P_0 = 19474$, $r = 0.003$, $t = 10$. $P(10) = 19474(1 - 0.003)^{10}$

Step3: Calculate the decay factor

First compute $0.997^{10} \approx 0.97040$

Step4: Compute final population

$P(10) \approx 19474 \times 0.97040$ $P(10) \approx 18897.77$

Step5: Round to whole person

Round to the nearest integer since population is whole people.

Answer:

18898