n 2007 the population of the town of Cartersville was 24,455. The population growth can be represented by the formula P = 24,455(1.03)x, where x represents the number of years after 2007. When will the population of the town first exceed 30,000?
30000=24455(1.03)^x
30000/24455=(1.03)^x
X=log(1.23)÷log(1.03)
X=7 years
The year in which the population would first exceed 3000 is 2014.
Number of years = (In FV / PV) /r
(In 30,000 / 24,455) / 0.03 = 6.8 = 7 years
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