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posledela
3 years ago
9

Let U = {1, 2, 3, 4, 5, 6, 7}, A= {1, 3, 4, 6}, and B= {3, 5, 6}. Find the set A’ U B’

Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer:

Step-by-step explanation:

A'={2,5,7}

B'={1,2,4,7}

A'UB'={1,2,4,5,7}

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yanalaym [24]

The answer is y = x-4.

<u>Step-by-step explanation</u>:

  • The given expression is x-y=4
  • Keep y alone on one side and move remaining terms to the other side.

⇒ -y = 4-x

  • To have y alone, Multiply the above expression with -ve sign on both sides.

⇒ y = x-4

5 0
2 years ago
Algebra 1 help please!
Vsevolod [243]

Answer:

x=46 and y=45

Step-by-step explanation:

To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is x+y=91. For the next equation, it says that the difference of those same numbers is 1, which means that the equation is x-y=1. Now, putting those two together for the system of equations, it's easiest to add them. The result will be 2x=92 which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.

Hope this helped!

7 0
3 years ago
Find the value of x for this trapezoid.
Lisa [10]
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4 0
3 years ago
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

#SPJ1

<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
75% increase followed by 50% decrease is it greater than to original
IceJOKER [234]

Answer:

  • Set original amount = x

<u>After a 75% increase, it would become</u>

x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x

<u>After a 50% decrease, it would become</u>

1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = \frac{7}{8} x

Because \frac{7}{8} x is less than x, the new amount would be less than the original.

7 0
2 years ago
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