The value of a particular investment follows a pattern of exponential growth. You invested money in a money market account. The value of your investment t years after your initial investment is given by the exponential growth model

A=2600e^0.08t
How much was initially invested in the account?

Thanks for your help!

$2600 initial at 8% compounded continuously

Can you walk me through how to do this, please? Thanks SO much! :)

$55 at 13%for 4years

To find the initial investment, we need to isolate the variable "A" in the given exponential growth model.

The exponential growth model is: A = 2600e^(0.08t)

In this equation, A represents the value of the investment after t years. However, we want to find the initial investment, which is the value of A when t is 0.

So, we substitute t = 0 into the equation:

A = 2600e^(0.08*0) = 2600e^0 = 2600 * 1 = 2600

Therefore, the initial investment in the account was $2600.