James has [tex]\$1500[/tex] to open a checking account. He can maintain a monthly balance of at least [tex]\$1000[/tex]. He plans to use the ATM four times per month at his local branch. He does not overdraft his account and plans to use direct deposit. He also plans to pay his bills online and he averages 8 bills per month.

Bank Account Terms and Conditions

\begin{tabular}{|c|c|c|c|c|}
\hline
& A & B & C & D \\
\hline
\begin{tabular}{l}
Minimum \\
Balance
\end{tabular}
& [tex]\$0[/tex]
& [tex]\$500[/tex]
& [tex]\[tex]$3000[/tex]
& [tex]\$[/tex]1000[/tex] \\
\hline
Interest
& [tex]0\%[/tex]
& [tex]0\%[/tex]
& [tex]0.02\%[/tex]
& [tex]0\%[/tex] \\
\hline
\begin{tabular}{l}
Overdraft \\
Fees
\end{tabular}
& \begin{tabular}{l}
[tex]\$0[/tex] if linked \\
with savings \\
account or \\
[tex]\$40[/tex] per \\
overdraft
\end{tabular}
& \begin{tabular}{l}
[tex]\$35[/tex] per \\
overdraft
\end{tabular}
& \begin{tabular}{l}
[tex]\$25[/tex] per \\
overdraft
\end{tabular}
& \begin{tabular}{l}
[tex]\$25[/tex] per \\
overdraft
\end{tabular} \\
\hline
\begin{tabular}{l}
ATM \\
Usage Fees
\end{tabular}
& \begin{tabular}{l}
[tex]\$0[/tex] for all \\
ATMs
\end{tabular}
& \begin{tabular}{l}
[tex]\[tex]$0[/tex] for ABC \\
bank ATMs \\
[tex]\$[/tex]3[/tex] for non- \\
ABC bank \\
ATMs
\end{tabular}
& \begin{tabular}{l}
[tex]\$4[/tex] per \\
transaction
\end{tabular}
& \begin{tabular}{l}
[tex]\$3[/tex] per \\
transaction
\end{tabular} \\
\hline
\end{tabular}

Which bank account should James choose? Explain your reasoning.



Answer :

To determine which bank James should choose based on the given conditions and his usage pattern, we will analyze the fees associated with each bank.

### Bank A:
- Monthly Balance: Since James maintains a balance at least [tex]$1000, he meets the minimum balance requirement (as anything over $[/tex]0 is acceptable).
- Monthly Fee: [tex]$10 if the minimum balance is not met. Given James's balance of $[/tex]1500, he does not incur this fee.
- ATM Fee: [tex]$0 for all ATMs. - Total Monthly Fee for Bank A: \(\$[/tex]0\) (since there are no applicable monthly or ATM fees).

### Bank B:
- Monthly Balance: James's balance of [tex]$1500 exceeds the minimum requirement of $[/tex]500.
- Monthly Fee: No monthly fee is mentioned for Bank B.
- ATM Fee: [tex]$0 for ABC Bank ATMs. James is using the ATMs at his local branch, assumed to be ABC Bank ATMs. - Total Monthly Fee for Bank B: \(\$[/tex]0\).

### Bank C:
- Monthly Balance: James's balance of [tex]$1500 does not meet the minimum required balance of $[/tex]3000.
- Monthly Fee: No monthly fee condition given that affects the calculation directly.
- ATM Fee: [tex]$4 per transaction. James uses the ATM 4 times a month, so the ATM cost is \(4 \times \$[/tex]4 = \[tex]$16\). - Total Monthly Fee for Bank C: \(\$[/tex]16\).

### Bank D:
- Monthly Balance: James meets the minimum balance requirement of [tex]$1000. - Monthly Fee: No monthly fee mentioned. - ATM Fee: $[/tex]3 per transaction. With 4 transactions, the cost is [tex]\(4 \times \$3 = \$12\)[/tex].
- Total Monthly Fee for Bank D: [tex]\(\$12\)[/tex].

### Summary of Total Monthly Fees for Each Bank:
- Bank A: \[tex]$0 - Bank B: \$[/tex]0
- Bank C: \[tex]$16 - Bank D: \$[/tex]12

### Conclusion:
Given the monthly costs associated with each bank, the banks with the lowest monthly fees are Bank A and Bank B, both with fees totaling \$0. Among these two, any can be chosen since they both result in the same minimal costs.

Therefore, James's best options based on his requirements are:
1. Bank A
2. Bank B

Given these choices, the best bank is Bank A based on the provided result.