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He can either pay a $150 joining fee and a $10 monthly fee or he can pay a $50 joining fee and a $30 monthly fee. On what month will the cumulative costs of the plans be equal and what will those total costs be?

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  1. 16 July, 15:11
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    Answer:it will take 5 months for the cumulative costs of the plans to be equal and the total cos is $200

    Step-by-step explanation:

    Let x represent the number of months that for which the cumulative costs of the plans will be equal.

    Let y represent the total cost of using plan A for x months.

    Let z represent the total cost of using plan B for x months.

    He can either pay a $150 joining fee and a $10 monthly fee. This means that the total cost of using plan A would be

    y = 150 + 10x

    For plan B, he can pay a $50 joining fee and a $30 monthly fee. This means that the total cost of using plan B would be

    y = 50 + 30x

    To determine the number of hours for which the cumulative costs of the plans will be equal, we would equate y to z. It becomes

    150 + 10x = 50 + 30x

    30x - 10x = 150 - 50

    20x = 100

    x = 100/20 = 5 months

    The total cost would be

    150 + 10 * 5 = 150 + 50 = $200
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