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marishachu [46]
2 years ago
11

X+8=-2 O A. x= 10 OB. x=-6 O C. x=6 OD. x= -10

Mathematics
2 answers:
MaRussiya [10]2 years ago
5 0

Answer: option D

Step-by-step explanation:

X+8=-2

    x= -2-8 (you should make x the subject so you switch the +8 to the other

    x= -10                                                                   side which becomes -8)    

so you get -10 because, if both the numbers have the minus sign then you should add the two values which will be a negative answer. So your answer is option D  

attashe74 [19]2 years ago
5 0

D is the correct answer

X+8 = -2

x = -8 -2 = -10

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Lightfoot Inc., a software development firm, has stock outstanding as follows: 30,000 shares of cumulative preferred 2% stock, $
Lesechka [4]

The calculation of the dividends per share on each class of stock for each of the four years for Lightfoot Inc. are:

                                 1st Year       2nd Year       3rd Year      4th Year

Preferred stock          $0.19            $0.32            $0.99          $0.50

Common stock           $0                 $0                $0.79          $2.69

How is dividend per share calculated?

The dividend per share for each class of stock can be computed by dividing the total dividend distributed by the number of shares outstanding.

For cumulative preferred stock, the unpaid dividends in a year are carried forward for distribution when profits are made.  Note also that preferred stock dividends enjoy preferential payment before common stock dividends.

<h3>Data and Calculations:</h3>

Cumulative preferred stock = 30,000 shares

Par value of preferred stock = $25

Dividend rate = 2%

The total value of preferred stock = $750,000 ($25 x 30,000)

Expected annual dividend for preferred stockholders = $15,000 ($750,000 x 2%)

Common stock = 38,000 shares

Par value of common stock = $75

The total value of ordinary stock = $2,850,000 ($75 x 38,000)

<h3>Dividends distribution:</h3>

                                        1st Year       2nd Year       3rd Year      4th Year

Dividends distributed    $5,700           $9,600       $59,720       $117,220

Preferred stock             $5,700            $9,600      $29,700        $15,000

Preferred stock per share $0.19           $0.32        $0.99             $0.50 ($15,000/30,000)

Common stock                  $0                   $0         $30,020      $102,220

Common stock per share $0                  $0            $0.79           $2.69 ($102,220/38,000)

Thus, the dividends distribution of Lightfoot Inc. shows that the common stockholders started earning dividends after the second year.

Learn more about cumulative preferred stock dividends at brainly.com/question/14006397

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<h3>Question Completion:</h3>

Calculate the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "O."

6 0
2 years ago
A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,
KiRa [710]

Answer:

E(p)=51,450p+346,920

Step-by-step explanation:

The function

m(p) = 175p + 1,180

gives the mass of the car as a function of the number of passengers in it.

And the function

E(m) = 9.8m*h

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

E(m) =9.8m*(30)

E(m) =294m

And to find the potential energy as a function of the number of passengers, we just substitute m(p) into E(m) to get:

E(m(p))=294(175p+1180)

\boxed{ E(p)=51,450p+346,920}

which gives the potential energy as a function of the number of passengers.

7 0
3 years ago
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Gnom [1K]

Answer: TnT down

Step-by-step explanation:

What's given?

EG ≅ FG

∟EFG ≅ ∟FGH

What's something else we can figure out?

∠FGE ≅ ∠GFH - alternate interior angles

Can we prove these congruent?

We can prove this congruent by using AAS

Geez I think I'm losing my touch but I hope this is correct and it helped!

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lilavasa [31]

Answer:

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Step-by-step explanation:

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2 years ago
What are the possible values of x in 8^2+4x = -1
jeyben [28]

Answer:

So we can simplify this to

36+4x=-1

We can subtract by 64 on both sides. 4x = -37. Therefore the answer to this is

x = -37/4 = -9.25.

So the answer for x is -16.25. If you were trying to do a quadratic equation then sorry because you worded it wrong, and I solved properly.

<h2 /><h2><u>Answer: -9.25</u></h2>

7 0
3 years ago
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