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Lyle deposited a check for [tex]\$75.26[/tex]. He'll use the check register to record his transaction. What will be his new balance?

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Check & Date & Transaction & \begin{tabular}{c}
$(-)[tex]$ \\
Debit
\end{tabular} & $[/tex]\checkmark[tex]$ & \begin{tabular}{c}
$[/tex](+)[tex]$ \\
Deposit
\end{tabular} & Balance \\
\hline
& $[/tex]5/1[tex]$ & Beginning Balance & & & & $[/tex]\[tex]$862.74$[/tex] \\
\hline
101 & [tex]$5/3$[/tex] & Medical Bill & [tex]$41.56$[/tex] & & & \\
\hline
& & & & & & \\
\hline
& & & & & & \\
\hline
& & & & & & \\
\hline
\end{tabular}

What is Lyle's new balance after the deposit?

A. [tex]$\$[/tex]821.00[tex]$

B. $[/tex]\[tex]$896.44$[/tex]

C. [tex]$\$[/tex]938.00[tex]$

D. $[/tex]\[tex]$979.56$[/tex]

Sagot :

GinnyAnswer
Let's break down the problem step by step:

Step 1: Determine the initial balance

From the given check register, the beginning balance is [tex]\(\$862.74\)[/tex].

Step 2: Record the debit transaction (Medical Bill)

A medical bill has been recorded as a debit of [tex]\(\$41.56\)[/tex] on 5/3. To update the balance after this debit:

[tex]\[ \text{New Balance} = \text{Beginning Balance} - \text{Medical Bill} \][/tex]

[tex]\[ \text{New Balance} = \$862.74 - \$41.56 = \$821.18 \][/tex]

So, after paying the medical bill, the balance is [tex]\(\$821.18\)[/tex].

Step 3: Record the deposit transaction (Check deposited by Lyle)

Lyle deposited a check of [tex]\(\$75.26\)[/tex]. To update the balance after this deposit:

[tex]\[ \text{New Balance} = \text{Balance after Medical Bill} + \text{Deposit} \][/tex]

[tex]\[ \text{New Balance} = \$821.18 + \$75.26 = \$896.44 \][/tex]

So, after depositing the check, the new balance is [tex]\(\$896.44\)[/tex].

Thus, Lyle's new balance after recording all the transactions is [tex]\(\$896.44\)[/tex].
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