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17 September, 20:51

A certain company has purchased new swivel chairs for its employees. The company made the purchase on a credit plan at Buy Right. Their monthly payments are $1,000 for 2 years. Buy Right will charge 3.45% per year compounded monthly. How much was the original total price of the furniture?

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  1. 17 September, 21:13
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    Original price = $23,158.58

    Explanation:

    Giving the following information:

    The company purchased a credit plan at Buy Right. Their monthly payments are $1,000 for 2 years. Buy Right will charge 3.45% per year compounded monthly.

    First, we need to calculate the final value, using the following formula:

    FV = {A*[ (1+i) ^n-1]}/i

    A = monthly pay = 1,000

    i = 0.0345/12 = 0.002875

    n = 12*2 = 24

    FV = {1,000*[ (1.002875^24) - 1]} / 0.002875

    FV = $24,810.48

    Now, we can calculate the original price:

    PV = FV / (1+i) ^n

    PV = 24,810.48 / (1.002875^24)

    PV = $23,158.58
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