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A data set contains three points, and two of the residuals are -6 and 12. What is the third residual

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# Tag: residual

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Cumulative Pay $6,800 $10,500 $8,400 $66,000 $4,700

Pay subject to FICA S.S. $421.60 $651.00 $520.80 $4092.00 $291.40

6.2%, (First $118,000)

Pay subject to FICA Medicare $98.60 $152.25 $121.80 $957.00 $68.15

1.45% of gross

Pay subject to FUTA Taxes $40.80 $63.00 $50.40 $396.00 $28.20

0.6%

Pay subject to SUTA Taxes $367.20 $567.00 $453.60 $3564.00 $253.80

5.4% (First $7000)

Totals $928.20 $1,433.25 $1,146.60 $9,009.00 $641.55

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So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= **47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.**

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A truck with a cost of $82,000 has an estimated residual value of $16,000, has an estimated useful life of 12 years, and is depreciated by the straight-line method. a. determine the amount of the annual depreciation. $ b. determine the book value at the end of the seventh year of use. $ c. assuming that at the start of the eighth year the remaining life is estimated to be six years and the residual value is estimated to be $12,000, determine the depreciation expense for each of the remaining six years. $

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The mid point of (4,1) and (2,-5) is (3,-2). The mid point is where the perpendicular bisector connects or bisects the given segment.

My second step would be to graph the two given points and to connect them, forming a line. This way, I would know the slope of the line and then I would be able to find the slope of the perpendicular bisector, since the slope for perpendicular lines is the opposite reciprocal of the given line.

In doing this, I discovered that the slope of the segment with the given endpoints is 3 which means that the slope of the perpendicular bisector will be -1/3.

So, so far we’ve got a point of intersection and a slope which is all we need to formulate the equation of the line that we are looking for.

In the end, our answer will be y= -1/3x – 1.

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