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 model A $\mathrm { A } = 1,400 \mathrm { e } ^ { 0.047 \mathrm { t } }$ . When will the account be worth $1,856?
A) 2006
B) 2005
C) 2007
D) 2008

Question

Quizplus · Accepted Answer

The account will be worth $1,856 when $1,400 \mathrm { e } ^ { 0.047 \mathrm { t } } = 1,856$. Solving for t gives t = 12. Therefore, the account will be worth $1,856 in the year 2000 + 12 = 2012.

Solve the Problem A=1,400e0.047t\mathrm { A } = 1,400 \mathrm { e } ^ { 0.047 \mathrm { t } }A=1,400e0.047t

Solve the Problem $\mathrm { A } = 1,400 \mathrm { e } ^ { 0.047 \mathrm { t } }$