Marcus deposited his paycheck in the amount of \[tex]$625.84. He'll use the check register to record his transaction. What will be his new balance? Do not use commas in your answer.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Check number & Date & Description of Transaction & $[/tex](-)[tex]$ Debit & $[/tex]\checkmark[tex]$ & $[/tex](+)[tex]$ Deposits & Balance \\
\hline
& & Beginning Balance & & & & 729.23 \\
\hline
825 & 9/14 & Fitness Center Membership & \$[/tex]62.50 & & & 666.73 \\
\hline
826 & 9/28 & Garbage Service & \[tex]$26.42 & & & 640.31 \\
\hline
& & & & & & \\
\hline
& & & & & & \\
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\hline
\end{tabular}

\$[/tex] [tex]$\square$[/tex]



Answer :

To find Marcus' new balance after depositing his paycheck, we need to follow a series of steps to ensure the accuracy of the calculation. Here is the detailed step-by-step solution:

1. Identify the initial or beginning balance:
- The initial balance provided in the register is 729.23 dollars.

2. Identify the amount to be deposited:
- Marcus is depositing a paycheck in the amount of 625.84 dollars.

3. Add the deposit amount to the initial balance to determine the new balance:
- Initial Balance: 729.23
- Paycheck Deposit: 625.84
- To find the new balance, add the deposit amount to the initial balance.

4. Perform the addition to get the new balance:
- [tex]\( 729.23 + 625.84 = 1355.0700000000002 \)[/tex]

5. Round if necessary (In this case, it looks like a simple round and not intended for this explanation as, realistically, it comes straightforwardly from how balance is recorded).

Thus, Marcus' new balance, after depositing his paycheck of 625.84 dollars, will be:

1355.07