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?
<pre>{{{matrix(1,3, A, "=", "2,600"e^(.045t))}}}
{{{matrix(1,3, "3,898", "=", "2,600"e^(.045t))}}} ----- Substituting 3,898 for A
{{{matrix(1,3, .045t, "=", ln ("3,898"/"2,600")))}}} ------- Converting to LOGARITHMIC (Natural) form
{{{highlight_green(matrix(1,6, t, "=", (ln ("3,898"/"2,600"))/.045, "=", 9, years)))}}}
9 years after 2000, or the year 2009 (2000 + 9), the investment will be/was worth $3,898.