Omaha plating corporation is considering purchasing a machine for $1,500,000. the machine is expected to generate a constant after-tax income of $100,000 per year for 15 years. the firm will use straight-line (sl) depreciation for the new machine over 10 years with no residual value. what is the payback period for the new machine?

The payback period for the new machine is 6 years.

Explanation:

depreciation = $1,500,000/10

                     = $150,000

payback period = ($100,000 + $150,000)/$1,500,000

                           = 6 years

Therefore, The payback period for the new machine is 6 years.

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

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