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slavikrds [6]
3 years ago
10

Gravity Hospital purchased a new item of equipment on January 1,20X1. The equipment has an estimated useful life of ten years an

d an expected salvage value of 20 percent. Gravity Hospital’s December 31, 20X5, balance sheet reports $10,000 of accumulated depreciation on this equipment. What was the cost of the equipment when it was acquired on January 1, 20X1?
Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

  $25000

Step-by-step explanation:

If the salvage value is 20% of the cost, then 80% of the cost will be depreciated over 10 years. Over the 5 years from Jan 1 20X1 to Dec 31 20X5, the $10,000 accumulated depreciation represents 5/10 of that 80%, or 40% of the initial cost.

  $10,000 = 0.40 × cost

  $10,000/0.40 = cost = $25,000

The acquisition cost of the equipment was $25,000.

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Solve for X. Each figure is a parallelogram.
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Answer:

1. x = 8

2. x = 3

3. x = 25

4. x = 6

5. x = 11

6. x = 3

7. x = 6

8. x = 10

Step-by-step explanation:

Since the opposite sides of a parallelogram are congruent, the length of segment QR is equal to the length of segment PS.

10 = -6 + 2x

Add 6 to each side

10 + 6 = -6 + 6 + 2x

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Divide both sides by 2

16/2 = 2x/2

Simplify

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to check if x is correct:

you already know that  segment QR is 10, so your answer needs to be equal to 10

so sement PS is -6x + 2x

-6 + 2x

= -6 + 2(8)

= -6 + 16

= 10

so PS = 10

2. 34x + 5 = 35x + 2

Step 1: Subtract 35x from both sides.

34x + 5 − 35x = 35x + 2 − 35x

−x + 5 = 2

Step 2: Subtract 5 from both sides.

−x + 5 − 5 = 2 − 5

−x = −3

Step 3: Divide both sides by -1.

-x/-1 = -3/-1

Step 4: Simplify

x = 3

3.

115 = 2x + 65

Step 1: Flip the equation.

2x + 65 = 115

Step 2: Subtract 65 from both sides.

2x + 65 − 65 = 115 − 65

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Step 3: Divide both sides by 2.

2x/2 = 50/2

x = 25

4.

84 + 16x = 180

84 - 84 + 16x = 180 - 84

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16x/16 = 96/16

x = 6

5.

2(3x − 10) = 46

Step 1: Simplify both sides of the equation.

2(3x − 10) = 46

(2)(3x) + (2)(−10 )= 46(Distribute)

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6x − 20 = 46

Step 2: Add 20 to both sides.

6x − 20 + 20 = 46 + 20

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Step 3: Divide both sides by 6.

6x/6 = 66/6

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6. RH = 1/2 FH or RH = 2 × FH

Step 1: Simplify both sides of the equation.

(2)(12)=13x−2

24=13x+−2

24=13x−2

Step 2: Flip the equation.

13x−2=24

Step 3: Add 2 to both sides.

13x−2+2=24+2

13x=26

Step 4: Divide both sides by 13.

13x/13 = 26/13

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2x+2−3x=3x−4−3x

−x+2=−4

Step 2: Subtract 2 from both sides.

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Step 3: Divide both sides by -1.

-x/-1 = -6/-1

x = 6

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2(2x−6)=28

Step 1: Simplify both sides of the equation.

2(2x−6)=28

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Step 2: Add 12 to both sides.

4x−12+12=28+12

4x=40

Step 3: Divide both sides by 4.

4x/4 = 40/4

x = 10

7 0
2 years ago
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