For each deposit, find the future value (that is, the final amount on deposit) when compounding occurs (a) annually, (b) semiannually, and (c) quarterly. \begin{tabular}{ccc} Principal & Rate & Time \\ $\$ 3000$ & $3 \%$ & 4 years \end{tabular} (a) If it is compounded annually, what is the amount after 4 years? \[ A=5 \square \] (Do not round until the final answer. Then round to the nearest cent as needed.)

Step 1 ：Define the variables: the principal amount \(P = \$3000\), the annual interest rate in decimal \(r = 0.03\), the number of times interest is compounded per year \(n = 1\), and the time in years \(t = 4\).

Step 2 ：Calculate the future value using the formula \(A = P \times (1 + \frac{r}{n})^{n \times t}\).

Step 3 ：Substitute the values into the formula to get \(A = 3000 \times (1 + \frac{0.03}{1})^{1 \times 4}\).

Step 4 ：Solve the equation to find the future value \(A = 3376.5264300000003\).

Step 5 ：Round the final answer to the nearest cent to get the final amount after 4 years when the deposit is compounded annually: \(\boxed{\$3376.53}\).