To determine how much money Adita originally invested, we need to evaluate the given function at [tex]\( t = 0 \)[/tex]. The function provided is:
[tex]\[ A(t) = 728(1 + 0.04)^t \][/tex]
To find the initial investment, we substitute [tex]\( t = 0 \)[/tex] into the function:
[tex]\[ A(0) = 728(1 + 0.04)^0 \][/tex]
Remember that any number raised to the power of 0 is equal to 1. Therefore, we have:
[tex]\[ A(0) = 728 \cdot 1 \][/tex]
Simplifying this, we get:
[tex]\[ A(0) = 728 \][/tex]
So, the amount of money Adita originally invested is \[tex]$728.00.
Thus, the correct answer is:
\[ \boxed{728} \]
The answer choice that matches this amount is:
B. $[/tex]\[tex]$ 728.00$[/tex]
