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Answer:

  5a. A = 800 +150m

  5b. A = 200 +200m

  6. 12 months

Step-by-step explanation:

5.

The amount repaid will be the sum of the deposit and the total of monthly payments. That total is the number of months times the payment amount.

  Equation 1: A = 800 +150m

  Equation 2: A = 200 +200m

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6.

The lines on a graph cross at m = 12. It will take 12 months for the amount repaid to be the same for both plans.

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Subtracting the second equation from the first gives ...

  (A) -(A) = (800 +150m) -(200 +200m)

  0 = 600 -50m . . . simplify

  50m = 600 . . . . . add 50m

  m = 600/50 = 12

Note that this answer is the quotient of the difference in deposits and the difference in payment amounts.

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