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3 years ago

7

Bob pays $5,090.00 annually in taxes. his Net Income is $29,910.00. what percentage of his income does Bob pay in taxes? Round t

o nearest tenth of a percent.

1 answer:

Rus_ich [418]3 years ago

7 0

29,910 x .1701 = 5,087.691
29,919 x .1702 = 5,090.682

.1701 = 17.01%

.1702 = 17.02%

I would round that to 17%

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Examine the linear table to find the slope, y-intercept, and write the equation for this linear relationship . NEED HELP PLEASE

gizmo_the_mogwai [7]

Answer:

$y = \frac{4}{3} x + 17$

Step-by-step explanation:

The table shows a set of x and y values, thus showing a set of points we can use to find the equation.

1) First, find the slope by using two points and substituting their x and y values into the slope formula, $\frac{y_2-y_1}{x_2-x_1}$ . I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

$\frac{(17)-(13)}{(0)-(-3)} \\= \frac{17-13}{0+3} \\= \frac{4}{3}$

Thus, the slope is $\frac{4}{3}$ .

2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.

3) Finally, write an equation in slope-intercept form, or $y = mx + b$ format. Substitute the $m$ and $b$ for real values.

The $m$ represents the slope of the equation, so substitute it for $\frac{4}{3}$ . The $b$ represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

$y = \frac{4}{3} x + 17$

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3 years ago

What decimal is longer than 8.5 cm

Leto [7]

Answer:

<h2>8.5555</h2>

Step-by-step explanation:

This number is not only larger, but also longer in digits than 8.5.

<h2>___________________________________________________</h2><h2><em>I AM ALWAYS HAPPY TO HELP :)</em></h2>

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3 years ago

Solve this system of equations by

Goshia [24]

Answer: x = 12 and y = -8

Explanation:
x + y = 4
4x + 3y = 24
———————
-3(x + y = 4)
4x + 3y = 24
———————-
-3x - 3y = -12
4x + 3y = 24
———————
x = 12

If x = 12
x + y = 4
12 + y = 4
y = -8

6 0

2 years ago

Read 2 more answers

Find the unit vector in the direction of v=(7,-3).<br> (enter exact answers with square roots)

navik [9.2K]

Answer:

$\binom{ \frac{7 \sqrt{58} }{58} }{ \frac{ - 3 \sqrt{58} }{58} }$

Step-by-step explanation:

First, find the magnitude of the vector:

$|v| = \sqrt{( {(7)}^{2} + {( - 3)}^{2}) } \\ = \sqrt{(49 + 9)} \\ = \sqrt{58}$

Then, divide each component of the vector by the magnitude to get the unit vector and rationalise:

$unit \: vector = \binom{ \frac{7}{ \sqrt{58} } }{ \frac{ - 3}{ \sqrt{58} } } \\ = \binom{ \frac{7 \sqrt{58} }{58} }{ \frac{ - 3 \sqrt{58} }{58} }$

8 0

3 years ago

19. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2.

worty [1.4K]

Answer:

The given lines are un-related.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (-8,-55) and (10,89). Whereas, line 2 passes through (9,-44) and (4,-14).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$\begin{aligned}&m_{1}=\frac{89-(-55)}{10-(-8)} \\&m_{1}=\frac{144}{18} \\&m_{1}=8\end{aligned}$

Step 2 of 2

Find the slope of first line.

$\begin{aligned}&m_{2}=\frac{-14-(-44)}{4-9} \\&m_{2}=\frac{30}{-5} \\&m_{2}=-6\end{aligned}$

Since, both slopes are neither equal nor reciprocal of each other.

Therefore, the lines are un-related.

4 0

2 years ago