Deposits of $\mathrm{\$}75.00$ are made at the end of every quarter for 7 years. What will the deposits amount to if interest is $7\mathrm{\%}$ compounded quarterly?
The future value is $\mathrm{\$}◻$.
(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: $FV=P\times [(1+\frac{r}{n}{)}^{nt}-1]÷\frac{r}{n}$, 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, $P=\mathrm{\$}75$, $r=0.07$, $n=4$ (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 $\boxed{{\displaystyle \mathrm{\$}2680.34}}$.