Sweet company’s outstanding stock consists of 1,000 shares of noncumulative 5% preferred stock with a $100 par value and 10,000 shares of common stock with a $10 par value. during the first three years of operation, the corporation declared and paid the following total cash dividends.

dividend declared
year 1 $ 2,000
year 2 $ 6,000
year 3 $ 32,000

the total amount of dividends paid to preferred and common shareholders over the three-year period is:

multiple choice

a. $15,000 preferred; $25,000 common.
b. $11,000 preferred; $29,000 common.
c. $5,000 preferred; $35,000 common.
d. $12,000 preferred; $28,000 common.
e. $10,000 preferred; $30,000 common.

Option (D) is correct.

Explanation:

Preferred dividend per year:

= (Outstanding preferred stock × Par value of preferred stock ) × 5% preferred stock

= (1,000 × $100) × 5%

= ($100,000) × 5%

= $5,000

Any balance left over would be paid to common stockholders.

Year 1:

Paid to preferred stockholders = $2,000

Paid to common stockholders = 0

Year 2:

Paid to preferred stockholders = $5,000

Paid to common stockholders = ($6,000 - $5,000)

                                                  = $1,000

Year 3:

Paid to preferred stockholders = $5,000

Paid to common stockholders = ($32,000 - $5,000)

                                                  = $27,000

Therefore,

Total amount of dividends paid to preferred Shareholders:

= Year 1 + Year 2 + Year 3

= $2,000 + $5,000 + $5,000

= $12,000

Total amount of dividends paid to common Shareholders:

= Year 1 + Year 2 + Year 3

= $0 + $1,000 + $27,000

= $28,000

start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

hope this