Question

Dennis has just made the final monthly payment necessary for paying off his car financing. When he purchased the car three years ago, it had a list price of $23,878. Dennis traded in his good-condition 2001 Honda Odyssey and financed the rest of the cost at an interest rate of 11. 82%, compounded monthly. The dealer gave Dennis 85% of the trade-in value of his car, listed below. Dennis was also responsible for paying 9. 05% sales tax, a $1,474 vehicle registration fee, and a $225 documentation fee. All told, how much did Dennis pay in interest? (Round all dollar values to the nearest cent, and consider the trade-in to be a reduction in the amount paid. ) Honda Cars in Good Condition Model/Year 2000 2001 2002 2003 Element $5,887 $6,080 $6,225 $6,622 Odyssey $8,450 $8,693 $8,928 $9,224 Insight $4,384 $4,661 $5,006 $5,440 Accord $6,356 $6,626 $6,817 $7,114 a. $3,919. 77 b. $3,906. 80 c. $4,599. 44 d. $3,668. 52.

Answer 1

The correct statement is that the payments made towards the interest by Dennis on such amount of principal of the car purchase will be computed as $8392.53.

The calculation of the payment of interest made by Dennis will be computed upon the net principal value of the car and deducting such principal amount from the annuity amount.

Calculation of payment of interest

The formula for the calculation of compounded annuity will be calculated on the total value of the car financed, which is calculated as $19834, and the annuity as per the compound interest formula will be,

$\rm Compounded\ Annuity= 19834(1+\dfrac{0.1182}{12})^3^x^1^2\\\\\rm Compounded\ Annuity= 19834(1.00985)^3^6\\\\\rm Compounded\ Annuity= \ 28226$

Now the payment of interest will be as,

$\rm Compound\ Interest= Annuity- Principal\\\\\rm Compound\ Interest=28226-19834\\\\\rm Compound\ Interest=\ 8392.53$

So, the amount of interest paid is $8392.53.

Hence, the correct statement is that the payments made towards the interest by Dennis on such amount of principal of the car purchase will be computed as $8392.53.

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Answer 2

Answer:

✅ A. $3,919.77

its right ⬇️