To determine the correct amount in Carl's checking account after accounting for an outstanding debit, follow these steps:
1. Identify the balance as of June 30th: According to the bank statement, the balance is [tex]$109.75.
2. Identify the outstanding debit: Carl notices there is an outstanding debit of $[/tex]58.00 that has not been accounted for in the bank statement's balance.
3. Calculate the updated balance: Subtract the outstanding debit from the balance as of June 30th to get the correct amount in Carl's checking account:
[tex]\[ \text{Correct Balance} = \text{Balance as of 6/30} - \text{Outstanding Debit} \][/tex]
[tex]\[ \text{Correct Balance} = 109.75 - 58.00 \][/tex]
[tex]\[ \text{Correct Balance} = 51.75 \][/tex]
Thus, the correct amount in Carl's checking account is [tex]$51.75.
Therefore, the correct answer is:
\[ \$[/tex] 51.75 \]