a town has a population of 17000 and grows at 4% every year. what will be the population after 5 years, to…

Explanation:

Step1: Recall the compound growth formula

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

Step2: Identify the values

Here, ( P_0 = 17000 ), ( r = 0.04 ) (since 4% = 0.04), and ( t = 5 ).

Step3: Substitute the values into the formula

( P(5)=17000\times(1 + 0.04)^5 ) First, calculate ( (1 + 0.04)^5=(1.04)^5 \approx 1.2166529024 ) Then, ( P(5)=17000\times1.2166529024 \approx 20683.0993408 )

Step4: Round to the nearest whole number

Rounding ( 20683.0993408 ) to the nearest whole number gives 20683.

Answer:

20683