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Question 12.12. In 2010, the population of a city was 65,903. It was expected to grow at a rate of 0.7% each year.

What is best prediction for the city’s population in 2027?
(Points : 5)
66,364
74,200
82,119
112,035



Answer :

jsblumen

[tex]y=Ce^{kx}[/tex]

k=0.7%=0.007

[tex]65903=Ce^{.007(0)} \\ 65903=Ce^0 \\ 65903=C(1) \\ C = 65903[/tex]

[tex]y=65903e^{0.007(2027-2010)}\\y=65903e^0.229 \\ y = 74231.157[/tex]

The best answer is 74,200

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