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777dan777 [17]
3 years ago
7

AC = Round your answer to the nearest hundredth. A 5 35 B C

Mathematics
1 answer:
baherus [9]3 years ago
8 0

Answer:

2.87 = AC

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp / hyp

sin 35 = AC /5

5 sin 35 = AC

2.867882182= AC

To the nearest hundredth

2.87 = AC

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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
U − -23<br> _______ = -8<br> -9 <br><br> Solve for u<br> Thanks!
Romashka [77]

Answer:

u=95

Step-by-step explanation:

To solve this problem we need to isolate 'u' variable using properties of equation.

Lets multiply by -9 the whole equation

u - -23=-8*9

Remember keys features of algebra:

- * - = +

- * += -

+ * - = -

+ * + =+

So, our equations becomes>

u+23=-72

Lets now subtract 23 to both sides

u-23=-72-23

We have u=95

8 0
3 years ago
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7(5 - 6x) - 4x =-8 + 35 show work
Sever21 [200]
This is the work and the answer is 4/23 or (in decimal form) 0.17391304

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3 years ago
Which of the following is the correct notation for the complex number √-64-12
Liono4ka [1.6K]
The answer would be -12+8i
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ivann1987 [24]

Answer: 4 to 5

5to 4

Step-by-step explanation:

4 0
3 years ago
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