7 multiple choice 2 points the current population of a certain small town is 4400 and is declining at a rate…

7 multiple choice 2 points the current population of a certain small town is 4400 and is declining at a rate of 1.7% per year. what will the population be in 10 years? 3721 3712 3715 3718

7 multiple choice 2 points the current population of a certain small town is 4400 and is declining at a rate of 1.7% per year. what will the population be in 10 years? 3721 3712 3715 3718

Answer

Explanation:

Step1: Identify the formula

The formula for exponential decay is (P = P_0(1 - r)^t), where (P_0) is the initial population, (r) is the rate of decay, and (t) is the time.

Step2: Substitute the values

Here, (P_0=4400), (r = 0.017), and (t = 10). So, (P=4400\times(1 - 0.017)^{10}).

Step3: Calculate ((1 - 0.017))

(1- 0.017=0.983).

Step4: Calculate ((0.983)^{10})

Using a calculator, ((0.983)^{10}\approx0.8436).

Step5: Calculate (P)

(P = 4400\times0.8436 = 3711.84\approx3712).

Answer:

3712