SOLUTION: City A and B lead a population of 70,000 and 60,000 respectively. At January 01 2001 city A grows at a rate of 5% per year and B grows at 4%. Find the difference between their popu

Question 763257: City A and B lead a population of 70,000 and 60,000 respectively. At January 01 2001 city A grows at a rate of 5% per year and B grows at 4%. Find the difference between their population at the end of December 2003.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
A's rate of growth = 5% / yr
B's rate of growth = 4% / yr
Let = number of years passed
since Jan 2001
Let = population
---------------
Equation for A:
(1)
Equation for B:
(2)
---------------------
From 2001 to 2003 is 2 years
The difference in their populations in 2 years is

at the end of December 2003, A's population
will be 12,279 greater than B's

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