Question

Last year, Pattersonville had a population of 40,500 people . The census indicated that the population of the town has been decreasing by 2.1% per year . If this trend continues , approximately how many people will live in Pattersonville 8 years from now?

Answer 1

Answer:

34175 people will live in Pattersonville 8 years from now

Step-by-step explanation:

Initial population of Pattersonville =40,500

We are given that The census indicated that the population of the town has been decreasing by 2.1% per year .

Now we are supposed to find If this trend continues , approximately how many people will live in Pattersonville 8 years from now

Formula : $N(t)=N_0(1-r)^t$

Where N(t)= Population after t years

$N_0$= Initial population

r = rate of decrease = 2.1 %=0.021

t = 8 years

Substitute the values in the formula :

So,$N(8)=40500(1-0.021)^8$

N(8)=34175.63223

So, 34175 people will live in Pattersonville 8 years from now