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16 October, 02:43

Finn's Mimstoon Rental Company charges an initial fee of $18 plus an

additional $31 per day to rent mimstoon's. Pocahontas's Mimstoon

Rental Company charges an initial fee of $35 plus an additional fee of

$29 per day. After how many days will the total cost charged by the

companies be the same? Round to the nearest day.

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Answers (1)
  1. 16 October, 03:13
    0
    9 days

    Step-by-step explanation:

    Finn's Mimstoon Rental Company charges for rent, a fixed cost of $18 plus a variable cost of $31 per day.

    If the variable C denotes the total cost in Dollars of rent for x days,

    Then C = 18 + 31x, ... (1)

    Again, Pocahontas's Mimstoon Rental Company charges for rent, a fixed cost of $38 plus a variable cost of $29 per day.

    Therefore, C = 35 + 29x ... (2)

    Now, if after x days the total cost charged by both the companies are same, then 18 + 31x = 35 + 29x

    ⇒ 2x = 17

    ⇒ x = 8.5 days.

    ⇒ x = 9 days {Round to the nearest days} (Answer)
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