Deposits of $\$ 75.00$ are made at the end of every quarter for 7 years. What will the deposits amount to if interest is $7 \%$ compounded quarterly? The future value is $\$ \square$. (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)

Step 1 ：The problem is asking for the future value of a series of equal deposits (an annuity) made at the end of each quarter for 7 years, with an interest rate of 7% compounded quarterly.

Step 2 ：The formula for the future value of an annuity is: \(FV = P \times \left[(1 + \frac{r}{n})^{nt} - 1\right] \div \frac{r}{n}\), where: \(FV\) is the future value of the annuity, \(P\) is the amount of each deposit, \(r\) is the annual interest rate (in decimal form), \(n\) is the number of times interest is compounded per year, and \(t\) is the number of years.

Step 3 ：In this case, \(P = \$75\), \(r = 0.07\), \(n = 4\) (since interest is compounded quarterly), and \(t = 7\).

Step 4 ：We can plug these values into the formula and calculate the future value.

Step 5 ：\(FV = 2680.3409829732614\)

Step 6 ：The future value of the annuity is approximately \$2680.34. This is the total amount that the series of deposits will amount to after 7 years, with interest compounded quarterly at a rate of 7%.

Step 7 ：Final Answer: The future value of the deposits is approximately \(\boxed{\$2680.34}\).