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xxTIMURxx [149]
3 years ago
6

Assume a tax rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. No one will reach the maximum for FICA. Comple

te the following payroll register. (Use the percentage method to calculate FIT for this weekly period.)

Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

Answer:

Claimed 4 allowances at a rate of $76.90 per allowance for weekly payroll.

Taxable income is therefore;

= 3,500 - (76.90 * 4 )

= $‭3,192.4‬0

Federal Income Tax (FIT).

With taxable income of $‭3,192.4‬0, Pat falls into the $3,073 to $4,597 bracket where tax is $565.15 plus 28% of anything above $‭3,073. Status is married.

= 565.15 + (28% * (‭3,192.4‬0 - 3,073))

= 565.15 + 33.43

= $‭598.58

Social Security

= Gross pay * 6.2%

= 3,500 * 6.2%

= $‭217‬

Medicare

= 3,500 * 1.45%

= $‭50.75‬

Net Pay

= 3,500 - 598.58 - 217 - 50.75

= $‭2,633.67‬

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The <u>probability</u> that a point <u>chosen at random</u> in the triangle is also in the blue square can be calculated using <u>geometrical definition of the probability</u>:

Pr=\dfrac{\text{desired area}}{\text{total area}}.

1. Find the total area of the triangle:

A_{total}=\dfrac{1}{2}\cdot 6\cdot 9=27\ in^2.

2. Find the desired area of the square:

A_{desired}=3\cdot 3=9\ in^2.

Then the probability is

Pr=\dfrac{9}{27}=\dfrac{1}{3}.

Answer: correct choice is B

8 0
3 years ago
Have you ever been swimming in a pool, and your eyes were red when you get out? This means the chemicals in the pool were not ad
soldier1979 [14.2K]

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I used Excel to calculate the pH values and draw the graphs (see the Figure).

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When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.

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This function has a y-intercept at (0,0).

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3 0
3 years ago
Find the area of the shaded sector of the circle. Leave in terms of pi.
qaws [65]

Answer:

a=10.88\pi

Step-by-step explanation:

using the formula below, the central angle is 20° (bc 360-180-160=20)

radius is 14 (28/2=14)

\frac{20}{360} =\frac{a}{\pi r^2} \\ \frac{1}{18} =\frac{a}{\pi 14^2}

\frac{1}{18} =\frac{a}{196\pi}

a=\frac{1*196\pi}{18} \\a=1*10.88\pi\\a=10.88\pi

3 0
3 years ago
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations
labwork [276]

Step-by-step explanation:

A. this is a geometric sequence.

according to y-coordinates =>

3, 6, 12, 24

have a T1 = 3 and ratio = 6/3 = 2

B. the formula = Tn = r. T(n-1)

T5 = 2. T4

= 2. 24 = 48 minutes

C. the formula : Tn = T1 . r^(n-1)

T9 = 3. 2^(9-1)

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6 0
2 years ago
Need help with the blanks
Crazy boy [7]
Answers: 
33. Angle R is 68 degrees
35. The fraction 21/2 or the decimal 10.5
36. Triangle ACG
37. Segment AB
38. The values are x = 6; y = 2
40. The value of x is x = 29
41. C) 108 degrees
42. The value of x is x = 70
43. The segment WY is 24 units long
------------------------------------------------------
Work Shown:
Problem 33) 
RS = ST, means that the vertex angle is at angle S
Angle S = 44
Angle R = x, angle T = x are the base angles
R+S+T = 180
x+44+x = 180
2x+44 = 180
2x+44-44 = 180-44
2x = 136
2x/2 = 136/2
x = 68
So angle R is 68 degrees
-----------------
Problem 35) 
Angle A = angle H
Angle B = angle I
Angle C = angle J
A = 97
B = 4x+4
C = J = 37
A+B+C = 180
97+4x+4+37 = 180
4x+138 = 180
4x+138-138 = 180-138
4x = 42
4x/4 = 42/4
x = 21/2
x = 10.5
-----------------
Problem 36) 
GD is the median of triangle ACG. It stretches from the vertex G to point D. Point D is the midpoint of segment AC
-----------------
Problem 37)
Segment AB is an altitude of triangle ACG. It is perpendicular to line CG (extend out segment CG) and it goes through vertex A.
-----------------
Problem 38) 
triangle LMN = triangle PQR
LM = PQ
MN = QR
LN = PR
Since LM = PQ, we can say 2x+3 = 5x-15. Let's solve for x
2x+3 = 5x-15
2x-5x = -15-3
-3x = -18
x = -18/(-3)
x = 6
Similarly, MN = QR, so 9 = 3y+3
Solve for y
9 = 3y+3
3y+3 = 9
3y+3-3 = 9-3
3y = 6
3y/3 = 6/3
y = 2
-----------------
Problem 40) 
The remote interior angles (2x and 21) add up to the exterior angle (3x-8)
2x+21 = 3x-8
2x-3x = -8-21
-x = -29
x = 29
-----------------
Problem 41) 
For any quadrilateral, the four angles always add to 360 degrees
J+K+L+M = 360
3x+45+2x+45 = 360
5x+90 = 360
5x+90-90 = 360-90
5x = 270
5x/5 = 270/5
x = 54
Use this to find L
L = 2x
L = 2*54
L = 108
-----------------
Problem 42) 
The adjacent or consecutive angles are supplementary. They add to 180 degrees
K+N = 180
2x+40 = 180
2x+40-40 = 180-40
2x = 140
2x/2 = 140/2
x = 70
-----------------
Problem 43) 
All sides of the rhombus are congruent, so WX = WZ.
Triangle WPZ is a right triangle (right angle at point P).
Use the pythagorean theorem to find PW
a^2+b^2 = c^2
(PW)^2+(PZ)^2 = (WZ)^2
(PW)^2+256 = 400
(PW)^2+256-256 = 400-256
(PW)^2 = 144
PW = sqrt(144)
PW = 12
WY = 2*PW
WY = 2*12
WY = 24
3 0
3 years ago
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