Question

Solve.The value of a particular investment follows a pattern of exponential grown. 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 grown model
`6400{e}^(0.047t)`How much did you initially invest in the account.

Answer 1

We know that the value of the investment t years after 2000 is given by the model:

`A=6400e^(0.047t)`

If we want to know how much did he initially invested, we replace the value t=0 on the model given (as zero years passed when he invested). This is:

`\begin{gathered} A(0)=6400e^((0.047)(0)) \\ =6400e^0 \\ =6400(1) \\ =6400 \end{gathered}`

And thus, you initially invested in the account $6400.