Brown Fashions Inc.'s December 31, 2018 balance sheet showed total common equity of $4,050,000 and 165,000 shares of stock outstanding. During 2019, the firm had $450,000 of net income, and it paid out $100,000 as dividends. What was the book value per share at 12/31/19, assuming no common stock was either issued or retired during 2019

$26.67

Explanation:

Total Common Equity New = Total Common Equity Old + Net Income -Dividends Paid

Total Common Equity New = $4,050,000 + $450,000 - $100,000

Total Common Equity New = $4,400,000

Book value per share = Total Common Equity / Shares Outstanding

Book value per share = $4,400,000 / 165,000 shares

Book value per share = 26.66666666666667

Book value per share = $26.67

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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