Respuesta :
6% = .6
4840 x .06 = 290.4
290.4+ 4840 = 5130.4
5130.4 ÷ 24 = 213.766666667
$5130.40 is your total cost by loan term.
$213.77 is APPROXIMATELY your monthly total for 2 years.
For the 2 year loan, onthly payments is $211.26 and Total payment is $5070.12.
For the 5 year loan, Monthly payments is $93.57 and Total payment is $5614.21.
What is the monthly total cost of the loan?
Assuming the loan is compounded monthly, the total monthly payment is calculated from the amortization loan formula as follows:
- [tex]A=\frac{P(i(1+i)^n)}{((1+i)^{n-1})}[/tex]
where:
- A = monthly payment
- P = amount borrowed = $6000
- i = monthly interest
- n = number of months
Calculating the monthly payment for the 2 year loan:
i = monthly interest = 0.045/12
n = number of months = 2 × 12 = 24 months
[tex]A = \frac{4840(0.045/12 (1 +.045/12)^{24})}{((1 +.045)^{24-1})} = \$211.26[/tex]
Monthly payments = $211.26
Total payment = $5070.12
Calculating the monthly payment for the 5 year loan:
i = monthly interest = 0.06/12
n = number of months = 5 × 12 = 60 months
[tex]A = \frac{4840(0.06/12 (1 +.006/12)^{60})}{((1 +0.06)^{60-1})} = \$93.57[/tex]
Monthly payments = $93.57
Total payment = $5614.21
Therefore, the monthly payments are calculated using the amortization loan formula.
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