Find the interest earned. Assume $3 \frac{1}{2} \%$ interest compounded daily.
\begin{tabular}{|c|c|c|c|}
\hline Amount & \begin{tabular}{c}
Date \\
Deposited
\end{tabular} & \begin{tabular}{c}
Date \\
Withdrawn
\end{tabular} & \begin{tabular}{c}
Interest \\
Earned
\end{tabular} \\
\hline$\$ 6200$ & February 12 & April 21 & $\$$ \\
\hline
\end{tabular}

Click here to view the $3.5 \%$ compound interest table. Click here to view the $3.5 \%$ compound interest by quarter table.

What is the amount of interest earned?
$\$ \square$ (Round to the nearest cent as needed.)

Step 1 ：First, calculate the number of days between February 12 and April 21.

Step 2 ：The number of days between February 12 and April 21 is 68 days.

Step 3 ：Next, plug the values into the formula for compound interest. The principal P is $6200, the annual interest rate r is 3.5% or 0.035 in decimal form, and the time t is the number of days divided by 365.

Step 4 ：Calculate the interest using the formula \(A = P \times (1 + \frac{r}{365})^{365 \times t}\), where A is the amount of money accumulated after n years, including interest.

Step 5 ：The amount of money accumulated after 68 days is approximately $6240.56.

Step 6 ：Subtract the principal from the accumulated amount to find the interest earned.

Step 7 ：The interest earned is approximately $40.56.

Step 8 ：Final Answer: The amount of interest earned is approximately \$40.56. So, the final answer is \(\boxed{40.56}\).