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sergeinik [125]
3 years ago
8

One machines value changed by -$6400 over 5 years. THe company charges off such changes in value as depreciation. Each year an e

qual amount is charged off. What was the change in value that would be charged off each year for this machine?
Mathematics
1 answer:
scoundrel [369]3 years ago
4 0
This problem ends up being a simple division problem.

If the machine's value went down 6400 in 5 years, you just have to divide 6400 by 5 to find the value lost per year.

6400 / 5 years = 1280 / year

Each year, $1280 would be charged off.
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Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o
katrin2010 [14]

Answer:

y=2(x+6)^2+7

(-6,7)

Step-by-step explanation:

y=2x^2+24x+79

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

y=(2x^2+24x)+79

Factor out the coefficient of the quadratic term,

y=2(x^2+12x)+79

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

y=2(x^2+12x+36-36)+79

Simplify,

y=2(x^2+12x+36)+79+(2)(-36)

y=2(x+6)^2+79-72

y=2(x+6)^2+7

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

(-6,7)

7 0
3 years ago
Calculate the angles of a parallelogram if the sum of the three angles is 310°
Gennadij [26K]

9514 1404 393

Answer:

  adjacent angles are 50° and 130°

Step-by-step explanation:

The sum of all 4 angles in a parallelogram is 360°, so the fourth angle must be ...

  360° -310° = 50°

Adjacent angles are supplementary, so the other two angles must be ...

  180° -50° = 130°

The angles in the parallelogram are either 50° or 130°. Adjacent angles are different.

8 0
3 years ago
A baseball is thrown at an angle of 30° with respect to the ground and it reaches the ground in 2 seconds. What is its initial v
NeTakaya

Answer:

The answer to your question is vo = 19.62 m/s

Step-by-step explanation:

Data

angle = α = 30°

time = t = 2 s

vo = ?

g = 9.81 m/s²

Formula

                  t = \frac{2vosin\alpha}{g}

Solve for vo

             vo = \frac{tg}{2sin\alpha}

Substitution

            vo = \frac{(2)((9.81)}{2sin 30}

Simplification

           vo = \frac{19.62}{2(0.5)}

           vo = \frac{19.62}{1}

Result

            vo = 19.62 m/s

3 0
2 years ago
A paper clip is just over 4 cm long. How many paper clips like this can be made from a straight piece of wire 10 meters long?
bixtya [17]

Answer:

25 Paper Clips

Step-by-step explanation:

100cm is equal to 1 meter. So to find the answer you would need to take the whole of the centimeter (100) and divide that by the paper clips length (4).

100/4 = 25

So, to form a straight line 10 meters long you would need 25 paper clips each 4cm long.

5 0
3 years ago
What is the value of X?
Leviafan [203]

Answer:

w = 31

Step-by-step explanation:

To find the value of w:

 We know that the three angles in a triangle add to 180 degrees

w + w + (4w-6) =180

Add like terms

6w-6 = 180

Add 6 to each side

6w -6+6 =180+6

6w = 186

Divide each side by 6

6w/6 = 186/6

w = 31

7 0
3 years ago
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