Exponential Growth

Question

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 = 7300e0.065t. When will the account be worth $8872?

Answer 1

We need to solve for t in the equation

8872=7300*e^(0.065t)

8872/7300 = e^(0.065t)

Take logarithm ln on both sides and solve for t.