SOLUTION: The population P of a small town can be modeled by: P=Ae^0.018t where t represents the time in years and A = 4,303 Use this model to find the population P when t = 7 yea

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Question 190696: The population P of a small town can be modeled by:
P=Ae^0.018t
where t represents the time in years and A = 4,303

Use this model to find the population P when t = 7 years.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P=Ae%5E%280.018t%29 Start with the given equation.


P=4303e%5E%280.018t%29 Plug in A=4303


P=4303e%5E%280.018%287%29%29 Plug in t=7


P=4303e%5E%280.126%29 Multiply 0.018 and 7 to get 0.126


P=4303%281.134%29 Raise "e" to the 0.126th power to get 1.134 (this is approximate)


P=4879.602 Multiply 4303 and 1.134 to get 4879.602


So the population (rounded to the nearest whole number) is 4,880 people when t = 7 years