Solve the problem.
-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 modelel $\mathrm { A } = 1700 \mathrm { e } ^ { 0.047 t }$ . Wh. Wen will the account be worth $2362?
A)2007
B)2008
C)2006
D)2009

Question

Quizplus · Accepted Answer

The value of the account will be $2362 when $ 1700 \mathrm { e } ^ { 0.047 t } = 2362 $. Solving for t, we get $ t = \frac { \ln ( 2362 / 1700 ) } { 0.047 } \approx 7 $. Since t represents the number of years after 2000, the account will be worth $2362 in the year 2000 + 7 = 2007.

Solve the Problem A=1700e0.047t\mathrm { A } = 1700 \mathrm { e } ^ { 0.047 t }A=1700e0.047t

Solve the Problem $\mathrm { A } = 1700 \mathrm { e } ^ { 0.047 t }$