The populations P (in thousands) of a certain city from 2000 through 2008 can be

Question

The populations P (in thousands) of a certain city from 2000 through 2008 can be modeled by P 1106.5ekt, where t is the year, with t o corresponding to 2000. In 2002, the population was about 1,200,000. (a) Find the value of k for the model. Round your result to four decimal places. (b) Use your model to predict the population in 2015. (Round your answer to the nearest person.) thousand Need Help?Read it 3.?-12 points LarATRMRP7 4.5.018 Complete the table for a savings account in which interest is compounded continuously.(Round your answers to four decimal places.) Initial Investment $350 Annual % Rate Time to Double Amount After 10 Years $435.21 yr

Explanation / Answer

P = 1106.5 e^kt

1200 = 1106.5 e^(2k)

1200 / 1106.5 = e^2k

ln ( 1200 / 1106.5 ) = 2k

k = 0.0406

b) population in 2015

P = 1106.5 e^(.0406* 5 )

P = 1356 thousand

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