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6 November, 04:26

Alice Smith bought a clothes dryer that retailed for $325. She received a 15% discount because she works at the store where she bought the dryer. What was her cost after paying a 7.5% sales tax?

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  1. 6 November, 04:31
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    296.97

    Step-by-step explanation:

    Remark

    The first thing you have to realize is that you take the discount before you add the sales tax.

    Discount

    If she receives a 15% discount, she still pays 85% of the full price.

    85/100 * 325 = 276.25

    Sales Tax

    A sales tax is only added on after a goods or service has been determined and agreed upon by the buyer and seller.

    The sales tax can be calculated quickly by adding the decimal equivalent onto 1 and multiplying that by the discounted amount.

    1 + 7.5% = 1 + 7.5/100 = 1 + 0.075 = 1.075 deriving the discount amount

    Cost

    Cost = discounted price * 1.075 Substitute in Formula

    Cost = 276.25 * 1.075 Simplify

    Cost = 296.97 Answer
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