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Andreas93 [3]
2 years ago
11

Insert a monomial so that each result is an identity( *− 3b4)(3b4 +*) = 121a10 − 9b8

Mathematics
1 answer:
natita [175]2 years ago
6 0
The answer for this is (-3b4) (3b4 +) = 121a10-9b8
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A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
Over [174]

Answer:

the number A(t) of grams of salt in the tank at a time is <em>A(t)=150-110e-t/50</em>

6 0
3 years ago
A regular hexagon has a radius of 20in. What is the approximate area of the hexagon
Wittaler [7]

Answer:

A= 1038 in²....

Step-by-step explanation:

There are several ways to find the area of a regular hexagon

In a regular hexagon, split the figure into triangles.

Find the area of one triangle.

Multiply this value by six.

We will apply the formula of area of regular polygon:

A= 1/2r²nsin(360/n)

r = radius

n = number of sides of the regular polygon

We know that,

r= 20 in

n= 6

Now substitute the values in the formula:

A= 1/2(20)²(6)sin(360/6)

A= (20)²(3)sin(360/6)

A= (20)²(3)sin(60)

A=3*(20)² *√3/2

A= 1200 * √3/2

A= 600*√3

A= 1038 in²....

Therefore the approximate area of hexagon is 1038 in²....

8 0
4 years ago
Read 2 more answers
Assume that you invest in U.K. stocks. After one year, the domestic return on U.K. stock is 9.5% and the dollar has fallen by 4%
max2010maxim [7]

Answer:


Step-by-step explanation:

I think the question is faulty.

Suppose you have 1000 dollars invested in the UK financial instrument. It returns 9.5%.  9.5% of 1000 dollars is (9.5/100) * 1000 = 95 dollars. If you bring that 95 dollars back to the US, you get an additional 4% because of the exchange rate. (This assumes that the 95 is in British Pounds). So 4% of 95 is about 3.80 US dollars. That brings the total up to (98.80/1000)* 100% which is about 9.88%. No such answer exists.

The question is so unclear that a number of other answers are possible. But none are going to be as high as 13% or as low as 5.5% or even 8%.

Discussing the 8% is worth a bit of time. When you bring in the US dollars the pound conversion gives you an extra 4%. The amount of money will go up, not down.

13% is arguably right only if you repatriate the 1000 dollars, but the problem did not make clear that was what was happening.

I don't know what answer you should pick. 9.5% is the closest answer so it is perhaps what you should pick, but it is not correct.


3 0
3 years ago
Which of these graphs represents a function?
Hunter-Best [27]

Answer X

because it Look more accurate

5 0
2 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
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