Answer:
y = x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 12x - 5y = - 44 into this form
subtract 12x from both sides
- 5y = - 12x - 44 ( divide all terms by - 5 )
y = x +
← in slope- intercept form
<u>Given</u>:
The vertices of the quadrilateral WXYZ are W(2,4), X(4,2), Y(2,1) and Z(0,2)
The graph is rotated 90° about the origin.
We need to determine the coordinates of the quadrilateral W'X'Y'Z'
<u>Coordinates of the quadrilateral W'X'Y'Z':</u>
The rule to transform the coordinates 90° counter clockwise about the origin is given by
Let us substitute the coordinates.
The coordinates of W' is given by
The coordinates of X' is given by
The coordinates of Y' is given by
The coordinates of Z' is given by
Therefore, the coordinates of the vertices W', X', Y' and Z' are (-4,2), (-2,4), (-1,2) and (-2,0) respectively.
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
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
You need to find "m" and "b".
If you look at the graph, when x = 0, y is 1, so the y-intercept is 1.
y = mx + 1
To find "m", you can use the slope formula and find two points on the graph and plug it in, or you can use this:
Rise is the number of units you go up(+) or down(-)
Run is the number of units you go to the right.
If you look at the graph, from each point you go up 1 unit, and to the right 1 unit. So your slope is or 1
y = 1x + 1
y = x + 1