Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 80,000 shares of cumulative preferred 3% stock, $20 par and 405,000 shares of $25 par common.
During its first four years of operations, the following amounts were distributed as dividends: first year, $30,000; second year, $74,000; third year, $100,000; fourth year, $100,000.
Determine 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 "0.00".

Answer:

yes (6,5) is a solution

Step-by-step explanation:

Answer:

a. gh³

b. xy³

Step-by-step explanation:

a. [tex]g^{3-2}[/tex][tex]h^{5-2}[/tex] = gh³

b. [tex]x^{3-2} y^{4-1} p^{1-1}[/tex] = xy³

Use the negative exponent rule.

Answer:

No

Step-by-step explanation:

Draw a vertical line.  If a vertical line passes through two or more points on the graph, it is not a function.  Since it passes through 2 points, it is not a function

Answer:

Given A point (9,-1) is first translated by rule T-4,3 : ( x,y ) goes ( x - 4 , y+ 3) followed by rotation of 270°

rule of rotation of 270° : ( x , y ) goes ( y,-x )

image of ( 9 , -1) after translation :

( 9 - 1) goes (-9,-1+3)=(-9,2)

then , image after rotation of 270° :

( -9,2 ) goes (2,9 p

hence , the image point of ( 9,-1 ) (9,-1)

after the transformation T-4,3 and rotation of 270°i is ( 2,9 ).

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

2 over 3 to the power of 2 + 5 × 2 − 4

(2/3)^2 +5×2−4

=4/9 + 10-4

=4/9+10−4

=4/9+6

= [tex]6 \frac{4}{9} [/tex]

Therefore, 6 4/9 is ur answer

Answer:

7350

Explanation:

3763.2/0.512 can be determined by simply dividing.

Answer:

10.5

Step-by-step explanation:

[tex] \frac{1}{2} \times 3 + 9 \\ 1.5 + 9 \\ 10.5[/tex]

[tex]\\ \tt\Rrightarrow 1/2x+9[/tex]

[tex]\\ \tt\Rrightarrow x/2+9[/tex]

[tex]\\ \tt\Rrightarrow 3/2+9[/tex]

[tex]\\ \tt\Rrightarrow 3+18/2[/tex]

[tex]\\ \tt\Rrightarrow 21/2[/tex]

[tex]\\ \tt\Rrightarrow 10.5[/tex]

Answer:

y = -12/7x + 71/7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - 5 / 10 - 3

-12/7

y = -12/7x + b

5 = -12/7(3) + b

5 = -36/7 + b

71/7 = b

Answer:

D

Step-by-step explanation: i <3 satistics so much

Answer:

a

Step-by-step explanation:

just cuzyfhyf

Answer:

Ig This Would Be The Answer

Step-by-step explanation:

Reorder 73 7 3 and 2x3 2 x 3 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 23 .

they can buy 6 tv advertisements.

Answer:

15 hours

Step-by-step explanation:

Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay

We can set up an equation for this question:

t = 4h + x

Now plug in 120 for x

t = 4h + 120

Now we set up Marie's pay:

m = 12h

Since Thomas and Marie made the same amount of money over the same number of hours, we can say:

4h + 120 = 12h

       120 = 8h

           h = 15

This means they both worked for 15 hours.

Answer:

i don't really know but can you explain more so I can understand how to do it

Answer:

1/64

Step-by-step explanation:

4x4^3/4^7

4^-3

1/4^3

1/64

Answer: 9 7/20

Step-by-step explanation:

7 4/5 + 2 3/4

Multiply the Denominators = 20

Add Numerators = 7

Add Whole Numbers = 9

Answer 9 7/20

answer: the inequality is 3+7(x)<24

x=x < 3 2/7

Step-by-step explanation:

because...

3 + 7x < 26

7x < 23

x < 23/7

x < 3 2/7

Answer:

More/Product is a key word to multiply so 3X7 and less is a key word to subtract so your subtracting X from 24

3x7=21 and that's 3 less than 24

The answer is 3

Step-by-step explanation:

Step-by-step explanation:

(x^5/-x^2)-(x^4x/-x^2)+(x^2/-x^2)

-x^3+x^2-1

Pythagoras Theorem

BC = 3 cm

Step by step explanation :

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Answer:

9×3

and

-26

Step-by-step explanation:

9×3=27

27+-26

Answer:

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Step-by-step explanation:

hlxkzgkzgksykkxmhxykdkydxkhoueydozgkhmzmhxkhdyoeoyxydkydkmxhylekdhkkysykyskkkysyek sheets obvi redfin

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex]     [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]    [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information:

[tex]\displaystyle cos56=\frac{a}{13}[/tex]

Isolate a by multiplying both sides by 13:

[tex]13\displaystyle cos56=a[/tex]

Solve using a calculator:

[tex]a=7.3[/tex]

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]

In this case, we will use the inverse sine ratio:

[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]

Solve using a calculator:

[tex]\displaystyle \theta=39[/tex]

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

Answer:

15/20

Step-by-step explanation:

Divide your denominator by your previous/compared denominator (20/8) to find the number as your numerator. Take the found numerator (2.5) and multiply it times the compared numerator (2.5 x 6) giving your 15/20.

Hopes this helps!

9514 1404 393

Answer:

  (x +5)² +(y -2)² = 36

Step-by-step explanation:

The radius is half the diameter, so is 12/2 = 6.

The standard form equation for a circle is ...

  (x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r

For the given parameters, the equation is ...

  (x +5)² +(y -2)² = 36

Answer:

$2060

Step-by-step explanation:

2800+300-150-175-115= $2060

Answer:

2860

Step-by-step explanation:

2800+300-150+200-175-115=2860

Answer:

1

Step-by-step explanation:

You can get this answer by adding 4+4+4+4, equaling out to 16...but how is there 18? well you just add 2 for the bird's legs and that's your answer!!

Hope this helps you love!!!

Answer:

3

Step-by-step explanation:

3 cats with 4 legs = 12

3 birds with 2 legs =6

12 + 6=18

Answer:

[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]

• further more:

[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]

The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.

The logarithmic equation given in the question is:

[tex]log_x5 + log_x12 = 7[/tex] ...(i)

By using the following property of logarithm, we can simplify this equation.

[tex]log_x(ab) = log_xa + log_xb[/tex]

By using this property in eq (i)

[tex]log_x[5 \times 12] = 7[/tex]

[tex]log_x[60] = 7[/tex]

By using logarithmic transformation.

[tex]x^7 = 60[/tex]

∴ [tex]x^7 - 60 = 0[/tex]

The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

Hence, The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

To learn more about equation, click:

brainly.com/question/10413253

#SPJ7

Answer:

Step-by-step explanation:

1) 6  and -5

x₁ + x₂  = 6 +(-5) = 1

x₁* x₂   = 6*(-5) = -30

x² -(x₁ + x₂)x + (x₁* x₂)=0

x² - x  - 30 = 0

2) 4 and 7

x₁ + x₂  =4 + 7 = 11

x₁* x₂   = 4*7 = 28

x² - 11x + 28 = 0

3) 1 and -10

x₁ + x₂  = 1 +(-10) = -9

x₁* x₂   = 1*(-10) = -10

x²  - 9x - 10 = 0

4) -9 and 0

x₁ + x₂  = -9 + 0 = -9

x₁* x₂   = 0

x² - (-9)x  = 0

x² + 9x = 0

5)2 and 6

x₁ + x₂  = 2 + 6 = 8

x₁* x₂   = 2*6 = 12

x² -8x + 12 = 0

8) 2 +√3  and 2 - √3

x₁ + x₂  = 2+ √3 + 2 - √3 = 4

x₁* x₂   = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1

x² - 4x + 1 = 0