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?

Respuesta :

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.

What is the year in which the population would exceed 30,000?

Number of years =  (In FV / PV) /r

  • FV = future value
  • PV = present value
  • r = rate of growth

(In 30,000 / 24,455) / 0.03 = 6.8 = 7 years

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