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Likurg_2 [28]
2 years ago
11

Using the basic identities, find the value of cosΘ if cotΘ = -12/5.

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
6 0

Step-by-step explanation:

please mark me as brainlest

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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
the room charge for a hotel is 230$ each day. the estevez family spends 4 days on vacation at the hotel . at the end of their st
DochEvi [55]
10% of 230 is 23 so
230
+23 =
253
hope i helped:)
3 0
3 years ago
Read 2 more answers
Draw a rough sketch of a quadrilateral KLMN. State, (a) two pairs of opposite sides, (b) two pairs of opposite angles, (c) two p
kogti [31]

Answer:

Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command

(a) Two pairs of opposite sides are \overline {KN}, \overline {LM} and \overline {KL}, \overline {NM}

(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM

(c) Two pairs of adjacent sides are \overline {KN}, \overline {NM} and \overline {KL}, \overline {LM}

(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM

Step-by-step explanation:

7 0
3 years ago
A) Solve and graph the following inequality. -36 < 3p - 6 < -15
Arada [10]

Answer:

IM RETARTED

Step-by-step explanation:

4 0
3 years ago
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How can one variable equations have more than one solution in some cases and no solutions in others?
yawa3891 [41]

Answer:A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
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