Answer: -54
Step-by-step explanation:
The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1
where,
a = first term = -2
r = common ratio = 3
n = number of terms = 4
The solution has been attached. The answer is -54
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:
GCF = 5
Step-by-step explanation:
Given:
The numbers are given as:
10, 30 and 45
A factor of a number is a number by which the given number is evenly divisible.
Example: 2 is a factor of 4 as . So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.
Now, factors of 10 = 1, 2, <u>5</u>, 10.
Factors of 30 = 1, 2, 3, <u>5</u>, 6, 10, 15, 30.
Factors of 45 = 1, 3, <u>5</u>, 9, 15, 45.
So, the greatest common factor in all the three numbers is 5.
Hence, the greatest common factor of 10, 30 and 45 is 5.