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Annette [7]
3 years ago
9

What’s the correct answer for this?

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

Answer:

6

Explanation:

According to secant-secant theorem,

(PB)(PA)=(PD)(PC)

(7)(12)=(PD)(14)

NOW

84/14 = PD

PD = 6

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Reinhardt Furniture Company has 40,000 shares of cumulative preferred 2% stock, $150 par and 100,000 shares of $5 par common sto
Ann [662]

Answer:

for year 1

common stock =  $1.75 per share

preferred stock  = Zero

for year 2

common stock =  $4.25 per share

preferred stock  = $0.3 per share

for year 3

common stock =   $3 per share

preferred stock  =  $2 per share

Step-by-step explanation:

step 1

preferred stock value =  (40000 shares * $150) = $6000000

common stock value  = (100000 shares * $5) = $500000

 step 2

For year 1:

Dividend on preferred stock;

\frac{6000000 * 2}{100} = $120000

But total dividend in the question was $70000 therefore total amount of  dividend on cumulative preferred stock is $70000.

hence, dividend per share

= \frac{70000}{40000 shares} = $1.75 per share

Dividend on common stock;

70,000 - 70,000 = Zero

as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.

For year 2:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100}= $120000

extra dividend of year 1 ($120000 - $70000) = $50000

Thus total dividend on cumulative preferred stock

($120000 + $50000) = $170000

So dividend per share

\frac{170000}{40000\ shares}= $4.25 per share

Dividend on common stock;

($200000 – $170000) = $30000

dividend per share

\frac{30000}{100000\ shares} = $0.3 per share

For year 3:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100} = $120000

total dividend on cumulative preferred stock $120000

dividend per share

\frac{120000}{40000 shares} = $3 per share

No dividend was extra in the year 2 therefore only available dividend of this year will be paid.

Dividend on common stock;

($320000 – $120000) = $200000

dividend per share

\frac{200000}{100000\ shares}= $2 per share

3 0
3 years ago
For breakfast, Randy had two Egg McMuffins and a hash brown, to taling 750 calories . Jack only had on e Egg McMuffin and a hash
Delvig [45]
Let us assign variables.
Let x = egg mcmuffins
Let y = hash brown

Randy had:
2x + y = 750

Jack had
x + y = 450

Using systems of linear equation, we can get the value for x and y by elimination. Subtract the equations.
2x + y = 750
x + y = 450
--------------
x = 300

Get y
x + y = 450
300 + y = 450
y = 150.

So there are 300 calories for McMuffins and 150 calories for hash brown.
4 0
3 years ago
What is surface area?​
schepotkina [342]
The surface area is the area of the outside of a 3D shape for example, let’s say you have a cube, a cube has 6 sides, so you have to find the area of each side and then add it up, since it’s a cube you would technically have to find the area of one side and then just multiply it by 6, that would be the easiest way to do it


Hope I helped!
8 0
3 years ago
How much more area does a large pizza with a 12 in. diameter have than a small pizza with an 8 in. diameter? Round your answer t
ivolga24 [154]

Answer: About 63 in²

Step-by-step explanation:

<u>Area of circle = π · r²</u>

  • r = radius length
  • π ≈ 3.14

<u>Area of large pizza:</u>

\pi *r^{2} =3.14*6^{2} =3.14*36=113.04

<u>Area of small pizza:</u>

\pi *r^{2} =3.14*4^{2} =3.14*16=50.24

<u>Difference in area:</u>

113.04-50.24=62.8

4 0
3 years ago
A square based prism and a cylinder both have
Anna11 [10]

Answer:

Parameter of base = 70.88 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 3768 cubic inch

Height of Prism = 12 inch

Find;

Parameter of base

Computation:

Volume of cylinder = Volume of Prism

3768 = (L)(B)(H)

3768 = (L)(B)(12)

(L)(B) = 314

L = B

So.

L = 17.72 inch

B = 17.72 inch

Parameter of base = 2[l+b]

Parameter of base = 2[17.72 + 17.72]

Parameter of base = 70.88 inch (Approx.)

8 0
3 years ago
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