2/5(z+1)=y for z I'm not sure what to do.
1 answer:
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Answer:
Maximum: 7
Minimum: 0
Step-by-step explanation:
A proper subset B of a set C, denoted , is a subset that is strictly contained in C and so necessarily excludes at least one member of C.
This means that the number of elements in B must be at least 1 less than the number of elements in C. If the number of elements in C is 8, then the maximum number of elements in B can be 7.
The empty set is a proper subset of any nonempty set. Hence, the minimum number of elements in B can be 0.
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:
<em>6 days</em>
<em></em>
Step-by-step explanation:
Let the time taken by Carpenter working alone = days
Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2 days
Time taken working together = 2 days
Work done in one day working together =
Work done in one day by Carpenter working alone =
Work done in one day by apprentice working alone =
Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone = +
= Work done in one day working together =
Time taken by Carpenter alone to complete the work = 3 days
Time taken by Apprentice alone to complete the work = 3 2= <em>6 days</em>