Calculate the federal income tax liability of a worker who earned $522,503 in 2019, and who takes the standard deduction of $12,200. Keep in mind that calculations of federal income tax drop any numbers after the decimal point.

Tax liability = $157,611 (Approx)

Explanation:

Taxable Income = Gross Income – Standard Deduction

Taxable Income = $522,503 - $12,200

Taxable Income = $510,303

Calculation of tax liability:

Tax liability = ($9,700 x 10%) + [($39,475 - $9700) x 12%] + [($84,200 - $39,475) x 22%] + [($160,725 - $84,200) x 24%] + [($204,100 - $160,725) x 32%] + [($510,300 - $204,100) x 35%] + [($510,303 - $500,000) x 37%]

Tax liability = $157,611 (Approx)

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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