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MAXImum [283]
3 years ago
15

What is the benefit of dividing out greatest common factors (GCFs) before multiplying?

Mathematics
2 answers:
victus00 [196]3 years ago
8 0

Answer:lets use 24/30 x 30/60

Without dividing out GCFs  you would get 24x12 over 30 x 60 which is 288/1800

With dividing out GCFs you get 2/1 x 5/1 Which is 7

Step-by-step explanation:

Nina [5.8K]3 years ago
7 0
Lets get an example, for this example lets use 24/30 x 30/60
Without dividing out GCFs  you would get 24x12 over 30 x 60 which is 288/1800
With dividing out GCFs you get 2/1 x 5/1 Which is 7 :)
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Answer:

Option D

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Tariq bought a new mazda for $18600. He wants to sell it in some years' time. Using the declining balance method of depreciation
erik [133]

Answer:

  7 years

Step-by-step explanation:

The depreciation rate of 12% using the declining balance method means the car is worth 12% less at the end of the year than it was worth at the beginning. That is, each year the value is multiplied by (1 -12%) = 0.88. So, after n years, the value has been multiplied by 0.88^n.

We want to find n such that ...

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  log(76/186) = n·log(0.88)

  log(76/186)/log(0.88) = n ≈ 7.00

It will take 7 years for the value of the car to decline to $7600.

_____

<em>Comment on declining balance depreciation</em>

Often, you will see declining balance depreciation specified in terms of an acceleration factor (often 150% or 200% ("double declining balance")) and a useful life. As with any depreciation, what is depreciated is the difference between the initial value and the salvage value. The percentage rate quoted above is essentially calculated as ...

  (acceleration factor)/(useful life) = depreciation rate per year

One way to get a 12% depreciation rate is using an acceleration factor of 150% and a useful life of 12.5 years (with a salvage value of 0).

6 0
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