SIROM Scientific Solutions has $10 million of outstanding equity and $5 million of bank debt. The bank debt costs 5% per year. The estimated equity beta is 2. If the market risk premium is 9% and the risk-free rate is 3%, compute the weighted average cost of capital if the firm’s tax rate is 30%.

15.167%

Explanation:

For computing the WACC we need to do the following calculations which are shown below:

Cost of equity = Risk free rate + Beta × Market risk premium  

= 3% + 2 × 9%

= 21%  

After tax cost of debt = Cost of debt ×  (1-Tax Rate)

= 5% × (1 - 0.30)

= 3.50%

Now

WACC = Weight of debt ×  Cost of debt + Weight of equity × Cost of equity

= 5 ÷ 15 × 3.50 + 10 ÷ 15 × 21

= 1.167% + 14%

= 15.167%

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

answer; coefficient of correlation;