Business, 24.12.2019 02:31 Spacexx

Amachine purchased three years ago for $317,000 has a current book value using straight-line depreciation of $188,000; its operating expenses are $37,000 per year. a replacement machine would cost $227,000, have a useful life of ten years, and would require $9,000 per year in operating expenses. it has an expected salvage value of $77,000 after ten years. the current disposal value of the old machine is $86,000; if it is kept 10 more years, its residual value would be $13,000.

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Answer from: cooljariel11

At discount rate of 12% it is convinient to replace the machine as the net worth is lower.

Explanation:

We aren't given with any rate to work for we are going to assume a 12% rate of return

CurrentNew machine

market value 86,000 227,000

expenses 37,000 9,000

useful life 10 10

salvage 13,000 86,000

F0 - (141,000)*

PV expenses (209,058)** (50,852)***

PV salvage value 4,186**** 27,690*****

Net worth (204,873) (164,162)

*227,000 cost less proceed from sale of the old machine

** annuity for 37,000 during 10 years discounted at 12%

$C \times \frac{1-(1+r)^{-time} }{rate} = PV\\$

C37,000.00

time10

rate0.12

$37000 \times \frac{1-(1+0.12)^{-10} }{0.12} = PV\\$

*** annuity of 9,000 during 10 years discounted at 12%

$C \times \frac{1-(1+r)^{-time} }{rate} = PV\\$

C9,000.00

time10

rate0.12

$9000 \times \frac{1-(1+0.12)^{-10} }{0.12} = PV\\$

**** present value of 13,000 value of the machine in 10 year discounted at 12%

$\frac{Maturity}{(1 + rate)^{time} } = PV$

Maturity 13,000.00

time 10.00

rate 0.12000

$\frac{13000}{(1 + 0.12)^{10} } = PV$

***** present value of 77,000 value of the machine in 10 year discounted at 12%

$\frac{Maturity}{(1 + rate)^{time} } = PV$

Maturity 77,000.00

time 10.00

rate 0.12000

$\frac{77000}{(1 + 0.12)^{10} } = PV$

Answer from: Quest

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.

Answer from: Quest

simpleton is the answer, this is simpleton work

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