Respuesta :
Correct response:
- The monthly payment on the car purchase is C. $344.19
Method used for calculating the monthly payment
Given:
The purchase price of the car, P = $11,000
The annual interest rate, r = 7.9% = 0.079
Number of years, = 3 years
Solution:
The periodic interest rate used for the monthly payment calculation is
annual interest rate divided by 12.
Monthly payment formula is given as follows;
- [tex]M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]
Where:
n = 12 × t
Therefore, we have;
n = 12 × 3 = 36
[tex]M = \dfrac{11,000 \times \left(\dfrac{0.079}{12} \right) \cdot \left(1+\dfrac{0.079}{12} \right)^{36} }{\left(1+\dfrac{0.079}{12} \right)^{36} - 1} \approx \mathbf{ 344.19}[/tex]
- The monthly payment is approximately C. $344.19
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