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stiks02 [169]
3 years ago
10

Kaelyn has some yarn that she wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each

scarf uses 0.10.10, point, 1 kilograms of yarn. Kaelyn wants to make 333 times as many scarves as hats and use 555 kilograms of yarn.
Let hhh be the number of hats Kaelyn makes and sss be the number of scarves she makes.

Which system of equations represents this situation?

Mathematics
1 answer:
natita [175]3 years ago
7 0

Answer:A

Step-by-step explanation:

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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
Plz help me on number 4 thank u so much math people
Anna [14]
A)5.17
B)10.86
<em>I hope this helps</em>
5 0
3 years ago
PLEASE ANSWER FAST
Brrunno [24]

Answer:

answer = c

Step-by-step explanation:

its because we need to add 1 more 4 for the number 4 to be the mode because the mode is the most nummber used

5 0
2 years ago
Use absolute value notation to represent the distance between x and 8 is no more than 4
ivanzaharov [21]
The distance: use absolute value
Between x and 8: x-8

The distance between x and 8: | x-8 |

“is no more than” means it can be that or be less than that, so use ≤

The distance between x and 8 is no more than 4

| x-8 | ≤ 4
3 0
3 years ago
Select the equivalent expressions for z divided by 144
Ivahew [28]

Answer:

A: 144/z

Step-by-step explanation:

Hopefully this helps!

4 0
3 years ago
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