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Corrine bought a car for $15,000 and its value depreciated linearly. after 3 years ,...

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schooledmom | Salutatorian

Posted August 6, 2013 at 12:12 AM via web

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Corrine bought a car for $15,000 and its value depreciated linearly. after 3 years , the value of the car was $11,250.  What is the amt of the yearly depreciation?

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samhouston | Middle School Teacher | (Level 1) Associate Educator

Posted August 6, 2013 at 12:48 AM (Answer #1)

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Write a linear equation to represent the situation.

Let x represent the amount of yearly depreciation.

15,000 - 3x = 11,250

Add -15,000 to both sides.

(-15,000) + 15,000 - 3x = 11,250 + (-15,000)

-3x = -3,750

Divide both sides by -3.

-3x / -3 = -3,750 / -3

x = 1,250

Answer:  Annual yearly depreciation = $1,250

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testpage1 | eNoter

Posted August 6, 2013 at 12:59 AM (Answer #2)

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In linear depreciation: 

`depn = (Acquisition value - Scrap value)/(Life)`

We assume that the scrapvalue after 3 years is the book value of $11,250 then,

`depn =($15,000-$11,250)/3`

Therefore the annual depreciation is

`depn= $1,250`

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