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15 September, 22:30

If a town with a population of 5000 doubles in size every 95 years, what will the population be 380 years from now?

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  1. 16 September, 00:14
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    You have to write the function of exponenetial growth and find its growth factor. If N (t) - population after "t" years, and "b" is a growth factor, then your function is N (t) = N0 x btwhere N0 = 800 - initial population. If the population doubles every 7 years, that means N (7) = 1600, and we can write 1600 = 800 b7 or 2 = b7ln Taking logaritms of both ides of the equation, we can find b: ln b = ln2/7 or b = exp (0.099) = 1.104 After 25 years N (25) = 800 (1.104) 25 = 9491 - answer.
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