Choose the one alternative that best completes the statement or answers the 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
) How much did you initially invest in the account? $$\text { growth model } \mathrm { A } = 5,300 \mathrm { e } ^ { 0.045 \mathrm { t } }$$
A) $2,650.00
B) $5,543.95
C) $238.50
D) $5,300.00

Question

Quizplus · Accepted Answer

To find the initial investment, set $t = 0$ in the given exponential growth model $A = 5,300e^{0.045t}$. When $t = 0$, $e^{0.045t} = e^0 = 1$, so $A = 5,300 \times 1 = 5,300$. This means the initial investment was $5,300.

Choose the One Alternative That Best Completes the Statement or Answers