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17 March, 09:56

Matthew wants to take out a loan to buy a car. He calculates that he can make repayments of $ 3 comma 500 per year. If he can get a five -year loan with an interest rate of 7.9 %, what is the maximum price he can pay for the car?

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  1. 17 March, 12:11
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    Answer: the maximum price (future amount) he could pay is

    "$4,882.5"

    Explanation:

    The question above can be calculated using simple interest formula with amount;

    A = p + prt

    A = p (1 + rt)

    From above question, variables given are:

    principal 'p' = $3,500

    time 't' = 5years

    interest rate = 7.9% = 0.079

    A = p (1 + rt)

    A = 3500[1 + 0.079 (5) ]

    A = 3500 [ 1 + 0.395]

    A = 3500 (1.395)

    A = $4,882.5

    Approximated to $4,883 as a whole figure.

    This is the maximum amount he could pay after 5 years.
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