Barrett, Inc., has a total debt ratio of .61, total debt of $321,000, and net income of $39,750. What is the company’s return on equity?

7.55%

Explanation:

The debt ratio shows the percentage of a company's assets that are provided via debt. It is the ratio of total liabilities to total assets, it is given by the equation:

Debt ratio = total liabilities/total assets

Given that total debt of $321,000, hence the total liability = $321000, and debt ratio = 0.61. Therefore:

Debt ratio = total liabilities/total assets

0.61 = $321000/total asset

total asset = $321000/0.61

total asset = $526230

Net income = $39,750, the company’s return on equity is given by:

Return on equity = Net income / shareholder equity

Return on equity = $39750 / $526230

Return on equity = 0.0755

Return on equity = = 7.55%

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.

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