Answer:
D. -3x + 18
Step-by-step explanation:
3x - 9y = 18
y = 1/3 x - 2 ... x intercept 0 = 1/3x -2 x=6
perpendicular line slope: - 1/(1/3) = -3 and (6,0) 0n the line
equation: (y-0)/(x-6) = -3
y = -3x +18
Marta can vacuum the house in 30 min. It takes her daughter 45 min to vacuum the house. How long would it take them if they
1 answer:
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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;
= $120000
But total dividend in the question was $70000 therefore total amount of dividend on cumulative preferred stock is $70000.
hence, dividend per share
= $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;
= $120000
extra dividend of year 1 ($120000 - $70000) = $50000
Thus total dividend on cumulative preferred stock
($120000 + $50000) = $170000
So dividend per share
= $4.25 per share
Dividend on common stock;
($200000 – $170000) = $30000
dividend per share
= $0.3 per share
For year 3:
Dividend on cumulative preferred stock;
= $120000
total dividend on cumulative preferred stock $120000
dividend per share
= $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
= $2 per share
ANSWER
The greatest common factor is
EXPLANATION
We want to find the greatest common factor of
and
The prime factorizations are;
and
The product of the least powers of the common factors is the greatest common factor.
The greatest common factor is
EXPLANATION
We want to find the greatest common factor of
and
The prime factorizations are;
and
The product of the least powers of the common factors is the greatest common factor.