OS Environmental provides cost-effective solutions for managing regulatory requirements and environmental needs specific to the airline industry. Assume that on July 1 the company issues a one-year note for the amount of $5.2 million. Interest is payable at maturity. Determine the amount of interest expense that should be recorded in a year-end adjusting entry under each of the following independent assumptions:

Interest rate Fiscal year-end Interest expense
12% December 31
10% September 30
9% October 31
6% January 31

In accrual basis accounting, expenses are recorded in the period when their matching revenues are obtained.

In this case, even if the full interest will be paid at maturity, interest expense will still be recorded in each period according to the information that we are given in the question.

Interest expense to be recorded by December 31

5,200,000 * 0.12 = 624,000 / 2 = 312,000

Interest expense to be recorded by September 30

5,200,000 * 0.10 = 520,000 * 3/12 = 130,000

Interest expense to be recorded by October 31

5,200,000 * 0.09 = 468,000 * 4/12 = 156,000

Interest expense to be recorded by January 31

5,200,000 * 0.06 = 312,000 * 7/12 = 182,000

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.