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Look at the table below showing an example of a checkbook ledger.

\begin{tabular}{|l|l|l|l|l|l|}
\hline
Check Number & Date & Description & Amount Debited & Amount Credited & Balance \\
\hline
& 3/7 & ATM deposit & & 580.00 & 560.00 \\
\hline
242 & 3/7 & Grocery & 525.50 & & 554.50 \\
\hline
& 58 & Paycheck & & 650.00 & \\
\hline
\end{tabular}

Malcolm has several receipts from recent transactions that he entered in his records. The receipts include:
- ATM receipt for an \[tex]$80.00 deposit
- Grocery store receipt for \$[/tex]25.50
- Paycheck deposit slip for \[tex]$650.00

When he finishes entering his transactions, Malcolm realizes that his balance is incorrect. Assuming that Malcolm had no beginning balance, what should his correct balance be?

A. \$[/tex]624.50
B. \[tex]$704.50
C. \$[/tex]755.50
D. \$784.50


Sagot :

To determine Malcolm's correct balance after entering his transactions, let's go through the steps one by one.

1. Start with the initial balance:
Since it is stated that Malcolm had no beginning balance, we start with a balance of:
[tex]\[ \text{Initial Balance} = \$0.00 \][/tex]

2. Add the ATM deposit:
Malcolm made an ATM deposit of \[tex]$80.00. Adding this to his initial balance: \[ \text{Balance after ATM deposit} = \$[/tex]0.00 + \[tex]$80.00 = \$[/tex]80.00
\]

3. Subtract the grocery expense:
Malcolm spent \[tex]$25.50 at the grocery store. Subtracting this from the current balance: \[ \text{Balance after grocery expense} = \$[/tex]80.00 - \[tex]$25.50 = \$[/tex]54.50
\]

4. Add the paycheck deposit:
Malcolm deposited a paycheck of \[tex]$650.00. Adding this amount to his current balance: \[ \text{Balance after paycheck deposit} = \$[/tex]54.50 + \[tex]$650.00 = \$[/tex]704.50
\]

Therefore, after all the transactions, Malcolm’s correct balance should be:
[tex]\[ \boxed{\$704.50} \][/tex]
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