Zapper has beginning equity of $257,000, net income of $51,000, dividends of $40,000 and investments by stockholders of $6,000. its ending equity is

$275,000

257,000    Beginning Equity

+51,000     Net Income

+6,000      Investments from stockholders

=314,000   New total

-40,000     Minus dividends payed to stockholders

=275,000   Equals ending equity

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: b. false

the staff is a set of five horizontal lines and four spaces which represent a different musical pitch. the lines and the spaces are numbered from bottom to top, the bottom line is the first line and the fifth line is the line on the top. the notes on the top of the staff (fifth line) have a higher pitch than a note at the bottom of the staff.