SOLUTION: . A city population of 170,000 grows continuously according to the model P = 170000e0.0285t where P is the population t years after the year 2000. In what year does the population

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Question 1178994: . A city population of 170,000 grows continuously according to the model P = 170000e0.0285t
where P is the population t years after the year 2000. In what year does the population reach
250000?
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
A city population of 170,000 grows continuously according to the model P = 170000e0.0285t
where P is the population t years after the year 2000. In what year does the population reach 250000?
~~~~~~~~~~~~~ 


Your exponential formula for the population growth is


    P(t) = .


Based on the condition, you write the equation for t as you read your text


    250000 = .


Next, you divide both sides by 170000


     = ,    or


    1.470 = .


Now, you take natural logarithm of both sides


    ln(1.470) = 0.0285*t


which gives you an expression for time "t"


    t = 


Next you use your calculator and get


    t = 13.518  years   (rouned)      ANSWER


ANSWER.  13 years and  189 days.

Solved, answered, explained and completed.

----------------

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    - Carbon dating problems
    - Bacteria growth problems
    - A medication decay in a human's body
    - Problems on appreciated/depreciated values
    - Inflation and Salary problems
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