SOLUTION: The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years a

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Question 1089080: The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model A=2600e^0.045t When will the account be worth $3898?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!





Take the natural log of both sides


In 2009 the account will be $3898
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model A=2600e^0.045t When will the account be worth $3898?


 ----- Substituting 3,898 for A

 ------- Converting to LOGARITHMIC (Natural) form



9 years after 2000, or the year 2009 (2000 + 9), the investment will be/was worth $3,898. 

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