Panther co. had a quality-assurance warranty liability of $356,000 at the beginning of 2018 and $311,000 at the end of 2018. warranty expense is based on 3% of sales, which were $58 million for the year. what were the warranty expenditures for 2018?

warranty expenditures for 2018: $ 1,785,000

Explanation:

warranty expected 3% of sales

58,000,000 x 3% = 1,740,000

Beginning - warrant expenditures + expected liab = ending warrant liability

We post our givens in the formula and solve for expenditures:

356,000 - X + 1,740,000 = 311,000

1,740,000 + 356,000 - 311,000 = expenditures

1,785,000 = expenditures

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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