SOLUTION: The populatin of a city, in thousands, is modeled by the equation P(t)=45091.0150^t, 0 is less than or equal to t less than or equal to 10, where t is time measured in years. In w

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Question 32489: The populatin of a city, in thousands, is modeled by the equation P(t)=45091.0150^t, 0 is less than or equal to t less than or equal to 10, where t is time measured in years. In what year will the population be 475,000?
Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
P(t)=45,091.0150^t where P(t) is the amount of people after 't' amount of years
475,000 = 45,091.015^t
log 475,000 = log 45,091.015^t
log 475,000 = (t)log 45,091.015
t=(log 475,000)/(log 45,091.015)
around 1.2197 years

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