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Ipatiy [6.2K]
3 years ago
13

A company produces a cardboard box in the shape of a cube. The surface area of the box is represented by S=6x2, where x is the e

dge length of the box. Find the inverse by solving for x without switching the variables.
Business
2 answers:
OLga [1]3 years ago
8 0

Answer:

√2

Explanation:

Before answering this question I must tell the following formulas:

Volume of Cube = S3  

Surface Area of Cube = 6S2  

If S = 6x2, then the value of x must be √2. In this way the original equation would have been S = 6 x (√2) 2 which would give the value S = 6x2.

nydimaria [60]3 years ago
7 0

Answer:

x = \sqrt{\frac{S}{6} }  or ( \frac{S}{6} )^{\frac{1}{2} }

Explanation:

The cardboard box is in the shape of a cube. The surface area of the box is given by:

S = 6x^{2}

To find the inverse, we have to solve for x. To solve for x means we will make x the subject of the equation above

Divide both the right and left hand side by 6, we have:

6x^{2} ÷ 6 = S ÷ 6 ⇒ x^{2} = \frac{S}{6}

x^{2} = \frac{S}{6}

Take the square root for both the right and left hand side, we have:

\sqrt{x^{2} } = \sqrt{\frac{S}{6}} ⇒ x =  \sqrt{\frac{S}{6}}

x = \sqrt{\frac{S}{6} }  or  ( \frac{S}{6} )^{\frac{1}{2} }

Therefore, x is equivalent to the square root of (S/6)

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Explanation:

Because it’s the next step after collecting relevant information and evaluating each alternatives

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Following is information on two alternative investments being considered by Jolee Company. The company requires a 12% return fro
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                                             Project A                  Project B

Initial investments               ($170,000)               ($115,000)

CF Year 1                              $42,500                  $34,500

CF Year 2                             $58,500                  $52,500

CF Year 3                             $82,795                  $68,500

CF Year 4                             $92,900                  $68,500

CF Year 5                             $67,500                  $68,500

using an excel spreadsheet and the IRR function, the internal rate of return of each project is:

  • Project A's IRR = 26.02%
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We can use the discount rate (12%) to calculate the projects' NPV, we do not need it to calculate their IRR:

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3 years ago
Loban Company purchased four cars for $9,000 each and expects that they will be sold in 3 years for $1,500 each. The company use
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Answer:

a). The journal entries required to record the acquisition of the four cars are as follows:

     i)  credit motor vehicle account with the amount paid to purchase the four cars = $ 36,000

     ii) Credit bank  account with the the amount paid to purchase the four cars = $ 36,000

b). The journal entries required to record the 1st year's depreciation expense :

     i)  Debit the motor vehicle expense account with the amount accruing for the periods expense =$ 10,000 .

     ii) Credit the accumulated depreciation with the same amount = $ 10,000 .

b)   The journal entries required to record the gain on disposal of the motor vehicle is as follows:

    i) Debit the Cash account by amount gained = $ 500 .

    ii) Debit the Accumulated depreciation account by amount = $ 500 .

     iii) Credit the Motor vehicle account by amount = $ 500 .

     iv) Credit the Gain on disposal account by amount = $ 500 .

Explanation:

<u>a).  Determining the depreciation expense</u>

<u>Step 1 </u>

Get the purchase price for all the four cars using the expression below;

Total purchase price=purchase price per car×number of cars purchased

where;

purchase price per car=$9,000

number of cars purchased=4

replacing;

Total purchase price=(9,000×4)=36,000

Total purchase price=$36,000

<u>Step 2 </u>

Determine the salvage value after the useful life as shown;

Salvage value=selling price per car×number of cars

where;

selling price per car=$1,500

number of cars=4

replacing;

Salvage value=(1,500×4)=6,000

Salvage value=$6,000

<u>Step 3 </u>

Determine the depreciation base as shown;

depreciation base=total purchase price-salvage value

where;

total purchase price=$36,000

salvage value=$6,000

replacing;

depreciation base=(36,000-6,000)=$30,000

annual depreciation cost=depreciation base/useful life

annual depreciation cost=30,000/3

annual depreciation cost=$10,000

The first year's depreciation expense=$10,000  

Therefore, expected journal entries are as follows:

    i)  credit motor vehicle account with the amount paid to purchase the four cars = $ 36,000

     ii) Credit bank  account with the the amount paid to purchase the four cars = $ 36,000

b). The journal entries required to record the 1st year's depreciation expense :

     i)  Debit the motor vehicle expense account with the amount accruing for the periods expense =$ 10,000 .

     ii) Credit the accumulated depreciation with the same amount = $ 10,000 .

b)<u>.  Determining whether car was sold at a loss or gain.</u>

Car book Value = Acquisition cost - Accumulated depreciation

Car book Value = 9,000 - 2,500 = $ 6,500

Loss /Gain =  Consideration price( disposal price)  - Acquisition cost

Loss /Gain = $7,000 - $6,500 = $ 500

The company realized a gain of = $ 500

Therefore, expected journal entries are as follows:

i) Debit the Cash account by amount gained = $ 500 .

ii) Debit the Accumulated depreciation account by amount = $ 500 .

iii) Credit the Motor vehicle account by amount = $ 500 .

iv) Credit the Gain on disposal account by amount = $ 500 .

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