To determine the correct amount in Carl's checking account, let's follow these steps:
1. Identify the Balance as of June 30th: According to the account statement, the balance as of June 30 is [tex]$109.75.
2. Notice the Outstanding Debit: Carl has identified an outstanding debit of $[/tex]58.00 that hasn't been accounted for in the current balance.
3. Calculate the Correct Amount in the Checking Account: To find the correct balance, we need to subtract the outstanding debit from the balance as of June 30:
[tex]\[
109.75 - 58.00 = 51.75
\][/tex]
Therefore, after accounting for the outstanding debit, the correct amount in Carl's checking account is [tex]$51.75.
So the correct answer is:
\[ \$[/tex]51.75 \]