On June 30, 2021, Moran Corporation issued $9.0 million of its 8% bonds for $8.1 million. The bonds were priced to yield 10%. The bonds are dated June 30, 2021. Interest is payable semiannually on December 31 and July 1. If the effective interest method is used, by how much should the bond discount be reduced for the six months ended December 31, 202

$45,000

Explanation:

Calculation to determine by how much should the bond discount be reduced for the six months ended December 31, 202

First step

Semiannual interest paid on 31.12.2021 = $9,000,000*8%*6/12

Semiannual interest paid on 31.12.2021= $360,000

Second step

Effective interest expense on 31.12.2021 = $8,100,000 * 10% * 6/12

Effective interest expense on 31.12.2021= $405,000

Last step

Bond discount to be reduced for 6 months ended 31.12.2021 = $405,000 - $360,000

Bond discount to be reduced for 6 months ended 31.12.2021=$45,000

Therefore by how much should the bond discount be reduced for the six months ended December 31, 202 will be $45,000

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.

hello the answer is d