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19 October, 11:54

Sheet Metals has an outstanding loan that calls for equal annual payments of $12,600.47 over the life of the loan. The original loan amount was $72,000 at an APR of 8.15 percent. How much of the third loan payment is interest? A) $5,868.00B) $4,725.89C) $4,896.48D) $5,009.16E) $4,687.53

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  1. 19 October, 14:19
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    option (B) $4,725.89

    Explanation:

    Given:

    Annual payment = $12,600.47

    Principal amount = $72,000

    Interest rate = 8.15% = 0.815

    Now,

    Principal amount paid = Annual payment - Interest paid

    and,

    Interest paid = Principle * interest rate

    Balance = Principal amount - principal paid

    Thus,

    For year 1

    Interest paid = 72000 * 0.815 = $5,868

    Principal amount paid = $12600.47 - $5,868 = $6732.46

    Principal remaining = $72,000 - $6732.46 = $65257.53

    For year 2

    Interest paid = principal remaining * Interest rate

    Interest paid = $65257.53 * 0.815 = $5319.30

    Principal amount paid = $12600.47 - $5319.30 = $7281.17

    Principal remaining = $72,000 - $7281.17 = $57986.36

    For year 3

    Interest paid = principal remaining * Interest rate

    Interest paid = $57986.36 * 0.815 = $4725.89

    Year Annual payment interest paid principal paid Balance

    1 $12600.47 $5,868 $6732.46 $65257.53

    2 $12600.47 $5319.30 $7281.17 $57986.36

    3 $12,600.47 $4725.89

    Hence,

    the correct answer is option (B) $4,725.89
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