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\begin{tabular}{|r|r|l|l|}
\hline [tex]$3 / 6$[/tex] & 440.15 & Purchase \\
\hline [tex]$3 / 9$[/tex] & 35.65 & Purchase \\
\hline [tex]$3 / 22$[/tex] & 250.00 & Payment \\
\hline [tex]$3 / 25$[/tex] & 51.71 & & \\
\hline
\end{tabular}

Please select the best answer from the choices provided:

a. [tex]$\$[/tex] 46.07$
b. [tex]$\$[/tex] 28.66$
c. [tex]$\$[/tex] 21.36$
d. [tex]$\$[/tex] 24.82$

A.
B.
C.
D.


Sagot :

To solve this problem, we need to determine the net balance change from the transactions listed and then select the closest answer from the provided choices.

Here are the transactions:
- 3/6: \$440.15 (Purchase)
- 3/9: \$35.65 (Purchase)
- 3/22: \$250.00 (Payment)
- 3/25: \$51.71 (no specified type, so neutral)

Steps to calculate the net balance change:

1. Convert Purchases and Payments Into a Balance Change:
- Purchases decrease the balance.
- Payments increase the balance.
- The transaction on 3/25 should be neutral in this context.

2. Calculate Total Purchases:
- Purchase on 3/6: \$440.15
- Purchase on 3/9: \$35.65
- Total Purchases: \[tex]$440.15 + \$[/tex]35.65 = \$475.80

3. Calculate Total Payments:
- Payment on 3/22: \$250.00

4. Calculate the Net Change:
- Net Change = Total Payments - Total Purchases
- Net Change = \[tex]$250.00 - \$[/tex]475.80 = -\$225.80 (indicating a net decrease)

When we look at the choices provided:
a. \$46.07
b. \$28.66
c. \$21.36
d. \$24.82

We compare each choice to our calculated net change of -\$225.80 to find the closest result. Given that, the best answer corresponds to the correct choice.

Thus, the closest provided choice is:
c. \$21.36

So we choose answer:
C