On March 31 a company needed to estimate its ending inventory to prepare its first quarter financial statements. The following information is available: Beginning inventory, January 1: $4,200 Net sales: $71,000 Net purchases: $69,000 The company's gross margin ratio is 25%. Using the gross profit method, the estimated ending inventory value would be:

$19,950

Explanation:

The formula for determining the estimated ending inventory value is given below:

estimated ending inventory value=cost of goods available for sale -cost of goods sold

cost of goods available for sale=beginning inventory+purchases

cost of goods available for sale=$4,200+$69,000=$73200

Cost of goods sold=net sales-(net sales*gross margin)

Cost of goods sold=$71000-($71000*25%)=$53250

estimated ending inventory value=$73200 -$53250 =$19,950

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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