SOLUTION: The population of adamsville grew from 6K to 11K in 8 years. assuming uninhibited exponential growth, what is the expected population in an additional 5 years. Do not round until t

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Question 1096926: The population of adamsville grew from 6K to 11K in 8 years. assuming uninhibited exponential growth, what is the expected population in an additional 5 years. Do not round until the final answer, then round to the nearest whole number.
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The population after t years can be expressed as
P(t) = P0*exp(kt), where P0 is the initial population
Given P(8) = 11000
11000 = 6000*exp(k*8)
k = (1/8)*ln(11/6)
P(13) = 6000*exp(k*13) = 16066.4, or 16066 (rounded)