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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