Hale company sells merchandise on account for $1,000 to long company with credit terms of 2/10, n/30. long company returns $200 of merchandise that was damaged, along with a check to settle the account within the discount period. what is the amount of the check? a. $784b. $780c. $980d. $800

Amount of Check = $784

so correct option is a. $784

Explanation:

given data

Merchandise on account = $1,000

Long Company returns  = $200

credit terms =  2/10

n/30

to find out

What is the amount of the check

solution

we know here that Total Merchandise will be

Total Merchandise = Merchandise on account  - returns   1

Total Merchandise = $1000 - $200

Total Merchandise = $800

and

discount will be here

Discount = 0.02  ×  800

returns = $16

so

Amount of Check will be as

Amount of Check = Total Merchandise - Discount   2

put here value

Amount of Check = Total Merchandise - Discount  

Amount of Check = $800 - $16

Amount of Check = $784

so correct option is a. $784

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.