casanovamateo72
Answered

The checking account fees for Banks A, B, C, and D are shown in the table below.

\begin{tabular}{|l|l|l|}
\hline
& Monthly Service Fee & Per-Check Fee \\
\hline
Bank A & \[tex]$7.50 & \$[/tex]0.25 \\
\hline
Bank B & None & \[tex]$0.50 \\
\hline
Bank C & \$[/tex]15.00 & None \\
\hline
Bank D & \[tex]$10.00 & \$[/tex]0.10 \\
\hline
\end{tabular}

If a customer writes 26 checks per month, which bank will charge her the least in fees?

A. Bank A
B. Bank D
C. Bank C
D. Bank B



Answer :

GinnyAnswer
To determine which bank charges the least amount in fees when a customer writes 26 checks per month, we need to calculate the total cost for each bank. Here's the step-by-step solution for each bank.

### Bank A:
- Monthly Service Fee: [tex]$7.50 - Per-Check Fee: $[/tex]0.25

Total cost for Bank A:
[tex]\[ \text{Total Fee} = \text{Monthly Service Fee} + (\text{Number of Checks} \times \text{Per-Check Fee}) \][/tex]
[tex]\[ \text{Total Fee} = 7.50 + (26 \times 0.25) \][/tex]
[tex]\[ \text{Total Fee} = 7.50 + 6.50 \][/tex]
[tex]\[ \text{Total Fee} = 14.00 \][/tex]

### Bank B:
- Monthly Service Fee: None ([tex]$0) - Per-Check Fee: $[/tex]0.50

Total cost for Bank B:
[tex]\[ \text{Total Fee} = \text{Monthly Service Fee} + (\text{Number of Checks} \times \text{Per-Check Fee}) \][/tex]
[tex]\[ \text{Total Fee} = 0 + (26 \times 0.50) \][/tex]
[tex]\[ \text{Total Fee} = 0 + 13.00 \][/tex]
[tex]\[ \text{Total Fee} = 13.00 \][/tex]

### Bank C:
- Monthly Service Fee: [tex]$15.00 - Per-Check Fee: None ($[/tex]0)

Total cost for Bank C:
[tex]\[ \text{Total Fee} = \text{Monthly Service Fee} + (\text{Number of Checks} \times \text{Per-Check Fee}) \][/tex]
[tex]\[ \text{Total Fee} = 15.00 + (26 \times 0.00) \][/tex]
[tex]\[ \text{Total Fee} = 15.00 + 0 \][/tex]
[tex]\[ \text{Total Fee} = 15.00 \][/tex]

### Bank D:
- Monthly Service Fee: [tex]$10.00 - Per-Check Fee: $[/tex]0.10

Total cost for Bank D:
[tex]\[ \text{Total Fee} = \text{Monthly Service Fee} + (\text{Number of Checks} \times \text{Per-Check Fee}) \][/tex]
[tex]\[ \text{Total Fee} = 10.00 + (26 \times 0.10) \][/tex]
[tex]\[ \text{Total Fee} = 10.00 + 2.60 \][/tex]
[tex]\[ \text{Total Fee} = 12.60 \][/tex]

### Comparison of Total Fees:
- Bank A: [tex]$14.00 - Bank B: $[/tex]13.00
- Bank C: [tex]$15.00 - Bank D: $[/tex]12.60

Comparing the total fees, the least amount is $12.60 charged by Bank D.

### Conclusion:
The bank that will charge the least in fees when a customer writes 26 checks per month is:

B. Bank D