Here I Sit Sofas has 7,400 shares of common stock outstanding at a price of $97 per share. There are 720 bonds that mature in 33 years with a coupon rate of 7.1 percent paid semiannually. The bonds have a par value of $2,000 each and sell at 110 percent of par. The company also has 6,300 shares of preferred stock outstanding at a price of $50 per share. What is the capital structure weight of the debt?

The capital structure weight of debt is 60.53% as shown below

Explanation:

In order to determine the weight of the debt financing in the company's structure, it is important to determine the market value of the common stock ,preferred stock and the debt financing,afterwards each market value can then be measured  as a fraction of total market values of all the three financing arrangements in order to determine the weighting of each.

Financing                   Volume      Mkt price    mkt value           Weighting

Common stock           7400           $97           717800

Debt                             720        $2000*1.1      1584000                60.53

Preferred stock            6300        $50            315000

Total                                                                 2616800

The weighting for debt is 1584000/2616800= 60.53

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