The given information is:
- The initial amount is $600
- The interest rate is 2% (compounded annually)
The given formula is:
![B=p(1+r)^t](https://img.qammunity.org/2023/formulas/mathematics/college/jnjkvp3weplmrbhoz5ngpyo8dbs9g9761l.png)
Where B is the balance (final amount), p is the principal (starting amount), r is the interest rate as a decimal, and t is the time in years.
By replacing the known values we obtain the balance after 3 years:
![\begin{gathered} B=600*(1+0.02)^3 \\ B=600(1.02)^3 \\ B=600*1.06 \\ B=636.72 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6q27qe1zddnhc1wh8qk18eqdnr7aui2mcm.png)
The answer is $636.72