SOLUTION: The city of Anville is currently home to 28000 people, and the population has been growing at a continuous rate of 5% per year. The city of Brinker is currently home to 25000 peopl

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Question 1176219: The city of Anville is currently home to 28000 people, and the population has been growing at a continuous rate of 5% per year. The city of Brinker is currently home to 25000 people, and the population has been growing at a continuous rate of 7% per year. In how many years will the populations of the two towns be equal?
? years
Give your answer accurate to at least 2 decimal places.
Found 2 solutions by ewatrrr, greenestamps:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
 Anville is currently home to 28000 people, and the population has been 
growing at a continuous rate of 5% per year
 
 Brinker is currently home to 25000 people, and the population 
has been growing at a continuous rate of 7% per year.
A = Pe ^(rt),   
   28000e^.05t = 25000e^.07t
   28000/25000 = e^.07t/e^.05t = e^.02t
    ln(28000/25000)/.02 = t = 5.67 years

Wish You the Best in your Studies.


Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Population of Anville after n years:
Population of Brinker after n years:






Use a calculator....

Or you can simply graph the two equations on a graphing calculator and find where they intersect.
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