Answer :
Answer:
- C. $114.21
- D. $2741.04
- B. Debt 1, $375
- B. $5.58
- C. Both cards are processed by the same card system services.
Step-by-step explanation:
1.
The given formula is useless for two reasons: 1) the variables are not defined; 2) it is missing essential parentheses. We assume it is intended to be ...
M = Pm(1+m)^(na)/((1+m)^(na) -1)
where M is the monthly payment; P is the principal amount of the loan; m is the monthly interest rate; n is the number of payments per year; a is the number of years. Your values are ...
P = $2500, m = 0.0075, n = 12, a = 2
Filling these values into the formula, we get
M = $2500·0.0075·1.0075^(12·2)/(1.0075^(12·2) -1) ≈ $114.21
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2.
The 24 payments of $114.21 come to a total payback amount of ...
24 × $114.21 = $2741.04
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3.
According to the "stack method", Alice will pay off the debt with the highest interest rate first. That is Debt 3. Its minimum payment of $150 can be added to the amount she applies to the payment of the debt with the second-highest interest rate, Debt 1. Alice can make a payment on Debt 1 of ...
$150 (no longer needed for Debt 3) + $75 (minimum for Debt 1) + $150 (her extra contribution) = $375
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4.
The service charge of $2.00 and the per-check charge of $0.10×21 checks total $4.10. This is deducted from the interest earned of 0.008×$1210 = $9.68. The resulting income earned is $5.58.
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5.
Debit cards deduct funds from a checking account. Credit cards use funds temporarily loaned. Both cards are processed by the same system.
A debit card carries the risk of an overdraft (or not: the transaction may simply be denied). Whether a particular transaction results in an overdraft generally depends on the sequence in which checking account transactions are processed. A credit card transaction involves loaned money (up to some limit), so cannot cause an overdraft (until a payment is made on the credit card account).
The interest on a fee is calculated by multiplying the fee by the interest
rate and the duration or units applicable.
The correct values are;
- The monthly payment is C. $114.21
- The total payback is D. $2,741.04
- The second target debt and monthly amount is B. Debt 1, $375
- The income earned on the checking account is B. $5.58
- The statement that accurately compares debit and credit cards is C. Both cards are processed by the same card system services.
Reasons:
Monthly payment formula is presented as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{m}{12} \right) \cdot \left(1+\dfrac{m}{12} \right)^n }{\left(1+\dfrac{m}{12} \right)^n - 1}[/tex]
n = 2 years = 24 months
m = 9% = 0.09
P = The loan amount = $2,500
[tex]M = \dfrac{2500 \times \left(\dfrac{0.09}{12} \right) \cdot \left(1+\dfrac{0.09}{12} \right)^{24} }{\left(1+\dfrac{0.09}{12} \right)^{24} - 1} \approx 114.21[/tex]
The monthly payment, M ≈ $114.21
Second part;
The total payback ≈ $114.21 × 24 ≈ $2,741.08
The correct option is D. $2,741.04
Third question:
Using the stack method, the debts are arranged according to their interest rate as follows;
[tex]\begin{array}{| l| l| r| }\mathbf{Debts} &\mathbf{Interest \ Rate}& \mathbf{Minimum \ Monthly \ Payment}\\Debt \ 3& 13.25\%& \$150\\Debt \ 1&5.5\%&\$75 \\Debt 2&2.75\%&\$250\end{array}\right][/tex]
The debt with the highest interest rate is paid off first, therefore, the next
debt to which the extra money will be applied to is debt 1.
The extra money + The initially monthly payment for debt 3 + The monthly paid for debt 1 will be applied to debt 1
Which gives;
Money for debt 1 = $150 + $150 + £75 = $375
The correct option is B. Debt 1, $375
Fourth question:
Amount paid for the 21 checks = 21 × $0.10 = $2.1
The monthly service charge = $2.00
The interest paid = 0.008 × $1,210 = $9.68
The income earned = 9.68 - (2.1 + 2.0) = 5.58
The income earned on the checking account = $5.58
The correct option is B. $5.58
Fifth question;
The card system services required for a debit card and a credit card are;
- The bank that receives the funds
- The bank that issues the funds
- The card association including VISA, MasterCard, that are the card's custodian.
Therefore, the correct option is C. Both cards are processed by the same system services.
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