What is the equation of the line graphed below

Ebony's gross income is $46 660 with allowable tax deductions of $4120. a What is Ebony's taxable income? b Calculate the amount

jasenka [17]

Answer:

(a) Ebony's taxable income = $42,540

(b) Amount of tax due = $5190.3

(c) Amount of tax owed = $4810.3

Step-by-step explanation:

Ebony's gross income = $46,660 (given)

Allowable tax deductions = $4,120 (given)

(a) Taxable Income = Gross income - Tax deductions

Ebony's taxable income = $46,660 - $4,120

Ebony's taxable income = $42,540

(b) Amount of tax due = 22% of Taxable Income,

Refer to the USA Tax Brackets for 2019 (See Attached image)

Amount of tax due = 10% on first $9,700 + 12% on ($39475-$9700) + 22% on ($42540-$39475).

Amount of tax due = 10% on first $9,700 + 12% on $29775 + 22% on $3065.

Amount of tax due = $970 + $3573 + $647.3

Amount of tax due = $5190.3

(c) Ebony pays $95 per week in tax. In four weeks (a month), she'd pay

$95 * 4 = $380

Amount of tax owed = Amount of tax due - Amount of tax paid

Amount of tax owed = $5190.3 - $380 = $4810.3

3 0

3 years ago

A. Write an equation that compares Tom sand Ann's ages.b. Draw a graph to represent theequation

kompoz [17]

a. The equation that relates Ann's age (x) and Tom's age (y) is a line

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

From the table, the line passes through the points (4, 8) and (8, 12), then its slope is:

$m=\frac{12-8}{8-4}=\frac{4}{4}=1$

Substituting with m = 1 and the point (4, 8) into the general equation, we get:

8 = 1(4) + b

8 = 4 + b

8 - 4 = b

4 = b

Finally, the equation that compares Tom's and Ann's age is:

y = x + 4

b. To graph the line y = x + 4, we need to draw two points and then connect them with a line. Replacing with x = 0 into the equation:

y = 0 + 4

y = 4

then, the point (0, 4) is on the line. And we can also use the point (4,8)

3 0

1 year ago

3/5, 1/2,5/7 as a common

miskamm [114]

a common what? denominator?

4 0

3 years ago

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0

3 years ago

Find the mode for the following distribution.

goldfiish [28.3K]

Answer:

24

Step-by-step explanation:

mode means most so 24 is written twice and the others only once.

you're welcome if I helped. :/ (not sure if I helped)

7 0

3 years ago