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25 December, 05:19

Tavon has a gift card for $ 50 that loses $ 2 for each 30-day period it is not used. He has another gift card for $ 40 that loses $ 1.50 for each 30-day period it is not used. a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. b. What will the value of each card be when they have equal value?

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  1. 25 December, 05:36
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    So we know that month 1: gift card 1: 50$ gift card 2: 40$

    month 2: gift card 1: 48 gift card 2: 38.50

    month 3: gift card 1: 46 gift card 2: 37

    month 4: gift card 1: 44 gift card 2: 35.5

    month 5: gift card 1: 42 gift card 2: 34

    month 6: gift card 1: 40 gift card 2: 32.5

    month 7: gift card 1: 38 gift card 2: 31

    month 8: gift card 1: 36 gift card 2: 29.5

    month 9: gift card 1: 34 gift card 2: 28

    month 10: gift card 1: 32 gift card 2: 26.5

    month 11: gift card 1: 30 gift card 2: 25

    month 12: gift card 1: 28 gift card 2: 23.5

    month 14: gift card 1: 26 gift card 2: 22

    month 15: gift card 1: 24 gift card 2: 20.5

    month 16: gift card 1: 22 gift card 2: 19

    month 17: gift card 1: 20 gift card 2: 17.5

    month 18: gift card 1: 18 gift card 2: 16

    month 19: gift card 1: 16 gift card 2: 14.5

    month 13: gift card 1: 14 gift card 2: 13

    month 13: gift card 1: 12 gift card 2: 11.5

    month 14 gift card 1: 10 gift card 2: 10

    MONTH 14 THEY ARE EQUAL
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