Question: 1.Break-pointanalysisAmachine to make a paper fastener has a set-up cost of $1200 and a unit cost of $0.0005 for each item.A second one has a

1.Break-pointanalysisAmachine to make a paper fastener has a set-up cost of $1200 and a unit cost of $0.0005 for each item.A second one has a fixed cost of $1500 but a unit cost of $0.0015 for each.

a)Write the equation for each.

b)Set them equal to each other, and solve algebraically.

c)Then plot the two functions simultaneously.The resultsshouldmatch.

2 Investment$2000 is to be invested, part at 5% and part at 9% annual interest.The interest to be earned is $150.

a) Represent the amount at 5% and the amount at 9%.

b)Using those amounts write an equation to result in interest of $150.

c)Solve for the amount to be invested at each rate.

d) Check.

3 For each paira) writeeach equation in standard form, y = mx + b5creach

b)Determine if they are parallel or intersect (may be perpendicular)

c)Plot them on the same set of axes.

d)Do the results match?

Pair #1:2x+4y =5 and -2x = 6 - yPair #2:2x + 4y = 5 and x= 6-2y

4.DepreciationAn item purchased for $1050isdepreciated at the rate of $120/yr.If its useful life is 8 years, what is its salvage value in 8 years?

5.AppreciationAn antique is expected to appreciate $40/yrand will be worth $450 in two years so solve:x + 2($40) = $450.Thenwhat is its worth in 13 yrs.?

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