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The population of a city is represented by the function p(t)=33,500(1.014)^t where t represents time in years and corresponds to the year 2000. According to this model, what is the expected population of the city 2015

User Eridanix
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2 Answers

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p(t) = 33500(1.014)^t\\ \\ t = (2015 - 2000) = 15\\ \\ i.e., p(15) = 33500(1.014)^(15) \\ \\ => p(15) = 33500.38729 \\ \\ => 1297421500
User CAMOBAP
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1 vote
Replace t with 15 (2015-2000):


p(15)=33,500(1.014)^(15)\\ \\ p(15)=33,500(3,8729)\\ \\ p(15) \approx 129,742 \ inhabitants
User Durga
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