Question
Asked Dec 6, 2019
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The populations P ( in thousands) of a certain city from 2000 through 2008 can be modeled by P = 1115.3ekt, where t is the year, with t=o corresponding to 2000. in 2002, the population was about 1,400,000. find the value of k for the model. Round Your result to four demical places 

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Expert Answer

Step 1

Given: -

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P = 1115.3e*, In 2000, t = 0. In 2002, the population is about 1,400,000.

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Step 2

To find: -

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the value of k.

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Step 3

Calculation...

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It is given that P=1115.3e*, it is known that in 2000, t= 0; so, in 2002, t = 2; P=1115.3e* 1,400,000 =1115.3e2* 1,400,000 1115.3 e2k =1255.267 2k In e = In 1255.267 2k = 7.135 7.135 k : k = 3.567 3.57

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