Alex is a self-employed dentist who operates a qualifying office in his home. Alex has $180,000 gross income from his practice and $160,000 of expenses directly related to the business, i. e., non-home office expenses. Alex's allocable home office expenses for mortgage interest expenses and property taxes are $14,000 and other home office expenses are $9,000. What is Alex's total allowable home office deduction?

The correct answer is $20,000.

Explanation:

According to the scenario, the given data are as follows:

Gross income = $180,000

Business expense = $160,000

Mortgage interest and property taxes expense = $14,000

Other home office expense = $9,000

So, we can calculate the total allowable home office deduction by using following method:

As we know, first we have to deduct the business expense from the gross income and than if there any net income left than other expense can be deducted.

Hence,

= Gross income - Business expense

= $180,000 - $160,000

= $20,000

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.

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