Ralph has experienced financial difficulties as a result of his struggling business. He has been behind on his mortgage payments for the last six months. The mortgage holder, who is a friend of Ralph's, has offered to accept $80,000 in full payment of the $100,000 owed on the mortgage and payable over the next 10 years. The interest rate of the mortgage is 7%, and the market rate is now 8%. Required:
What tax issues are raised by the creditor's offer?

Recognition of $20,000 gain in income.

Explanation:

The creditor reduced the mortgage that Ralph would have to pay by $20,000 because Ralph was struggling to keep up payments. When debt is reduced, the reduction is usually taxable because it is treated as income.

The reason for the reduction of debt is not a reason for a debt reduction being exempt from taxation so the $20,000 will have to be treated as a gain and will be reported as such for Ralph's gross income.

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.

answer; break-even analysis;