Mr. Jackson had two jobs in 2005. The first job, in which he earned $74,007 was from January to August, and the second job, in which he earned $35,311 was from August to the end of the year. Because he worked two jobs he over paid his Social Security. How much should he be refunded?

Answers

Answer 1

9514 1404 393

Answer:

  $1,197.71

Step-by-step explanation:

The 6.2% Social Security tax applied to the first $90,000 of earnings in 2005, so Jackson is due to be refunded the tax he paid on more than that amount.

  6.2% × (74,007 +35,311 -90,000) = 6.2% × 19,318 = $1,197.71

Jackson should receive a Social Security tax refund of $1,197.71.

_____

Comment on rounding

The tax on 74,007 will be rounded down, as will the tax on 35,311. So, the overpayment value calculated here needs to be rounded down to correspond to the actual to-the-penny amount of overpayment.


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A box contains 4 red marbles, 3 green marbles and 2 blue marbles. One marble is removed from the box and it is NOT replaced. Another marble is drawn from the box. What is the probability that the first marble is blue and the second marble is green?

Answers

The required probability is [tex]\dfrac{1}{12}[/tex].

Important information:

Red marbles = 4Green marbles = 3Blue marbles = 2Probability:

Total number of marbles is:

[tex]4+3+2=9[/tex]

The probability of getting a blue marble is [tex]\frac{2}{9}[/tex].

After removing a marble, the number of remaining marbles is 8. So, the probability of getting a green marble is [tex]\frac{3}{8}[/tex].

Now, the probability that the first marble is blue and the second marble is green is:

[tex]P=\dfrac{2}{9}\times \dfrac{3}{8}[/tex]

[tex]P=\dfrac{1}{12}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].

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25 feet in 4 seconds; 80 feet in x seconds write a proportion for each phrase and solve it​

Answers

Answer:

12.8 seconds

Step-by-step explanation:

Create a proportion where x is the number of seconds for 80 feet

[tex]\frac{25}{4}[/tex] = [tex]\frac{80}{x}[/tex]

Cross multiply and solve for x

25x = 320

x = 12.8

So, the answer is 12.8 seconds

what is the y-intercept of the line?​

Answers

Answer:

the y-intercept is -2, hope this helps! :]

Answer:

(0, -2)

Solution:The y-intercept is the point where the graph touches the y-axis.The y-intercept is usually written as (0, b) where "b" is the y-intercept.The graph touches the y-axis at (0, -2).Therefore, the y-intercept is (0, -2) or -2.

Hope it helps.

Do comment if you have any query.

Pls help with this ASAP

Answers

Answer:

answer is A

Step-by-step explanation:

hope this helps!

It’s most likely to be .B

9
Which sets of side lengths could form a triangle? Choose all that apply.
A 4 cm, 6 cm, 9 cm
B
3 cm, 7 cm, 9 cm
C 3 cm, 4 cm, 9 cm
D 4 cm, 5 cm, 9 cm
E 5 cm, 5 cm, 9 cm
F 3 cm, 6 cm, 9 cm

Answers

Answer: B,E, C

Step-by-step explanation:

If the average crowdfunding campaign investment is about $90 and the average number of investors is about 80, what is the best approximation of the average amount raised in a crowdfunding campaign?

Answers

Answer:

A) $7200

Step-by-step explanation:

The required average amount raised in a crowdfunding campaign is $7200.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 12×2 = 24

The average crowdfunding campaign investment is about $90 and the average number of investors is about 80 which is given in the question.

To determine the average amount raised in a crowdfunding campaign.

The required average amount raised in a crowdfunding campaign is the product of the average crowdfunding campaign investment and the number of investors.

As per the given information,

The average amount raised = $90 × 80 = $7200

Therefore, the required average amount raised in a crowdfunding campaign is $7200.

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[tex] Find the area of the shape shown below.[/tex]

Answers

Answer:

60

Step-by-step explanation:

shape can be made into a trapezoid and square

rectangle area= a*b

triangle = 1/2 a*b

rectangle  = 64

triangle = 4

64-4=60

Given point A (-9, -9) and B (5, -2) find the coordinates of point P on the directed line segment AB in the ratio 3:4.

Answers

Answer:

We have point P(-3,-6).

Step-by-step explanation:

We want to find a point P(x,y).

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[tex]P - A = \frac{3}{3+4}(B - A)[/tex]

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

We apply this to both the x-coordinate and y-coordinate of P.

x-coordinate:

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x-coordinate of B: 5

x-coordinate of P: x

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

[tex]x - (-9) = \frac{3}{7}(5-(-9))[/tex]

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[tex]x + 9 = 6[/tex]

[tex]x = -3[/tex]

y-coordinate:

y-coordinate of A: -9

y-coordinate of B: -2

y-coordinate of P: y

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

[tex]y - (-9) = \frac{3}{7}(-2-(-9))[/tex]

[tex]y + 9 = \frac{3}{7} \times 7[/tex]

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Change 4.8 meters into centimetres

Answers

Answer:

4.80

Step-by-step explanation:

What is 4/3 divided by 5/2

Answers

4/3 divided by 5/2

[tex] = \tt{ \dfrac{ \dfrac{4}{3} }{ \dfrac{5}{2} } }[/tex][tex] = \tt{ \dfrac{ \dfrac{4}{15} }{2} }[/tex][tex] = \green{\boxed{\tt{{ \dfrac{2}{15} }}}}[/tex]

PLEASE I NEED HELPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Also, for the select the options are 23 or 16

Answers

Answer:

23

Step-by-step explanation:

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Answers

Answer:

0.7 is the decimal expansion okok

Step-by-step explanation:

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Answers

Answer:

A linear model is an equation that describes a relationship between two quantities that show a constant rate of change.

:)

Answer: A linear model is an equation that represents a relationship between two quantities at a constant rate of change.

A linear line can be represented by the equation: y=mx+b. This is also known as the linear equation.

The distribution of the heights of students in a large class is roughly Normal. Moreover, the mean height is 68 inches, and approximately 95% of the heights are between 62 and 74inches. Thus, the standard deviation of the height distribution is approximately equal to

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Answer:

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Step-by-step explanation:

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Answer:

subtraction

Step-by-step explanation:

simplify 12p + 15 - 13- 12p

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Answer: 2

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Answer:

the answwer is D

Step-by-step explanation:

hope it helps

4. The Smoothie Stand is selling their small smoothies for $4 for 16
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Answers

Answer:

$8

Step-by-step explanation:

Answer: $8

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If f′(x) = 3x^2 + 2x and f(2) = 3, then f(1) =

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Angle ABC is a right angle because right angles are 90 degrees. If we add up 25 and 65 degrees, we get 90 degrees. Therefore Angle ABC is a right angle.

Answer:

Angle ABC is a right angle. So option C is correct.

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Step-by-step explanation:

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The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.

On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.5) and crosses the y-axis at (0, 1). g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 2, 1) and crosses the y-axis at (0, 6).
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Answers

Answer:

-2

Step-by-step explanation:

Edge2021

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A translation can be represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

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[tex]f(x) = (2.5)^x[/tex]

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The points (4,3) and (2, -1) fall on a particular line. What is its equation in slope-intercept
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ANSWER AS FAST AS YOU CAN PLS!!!!

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The answer will be 2 1/2

can someone send the work for y=2x-1 y=2x+6

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Shsnsnduj72828Aksjndjsnskskao
GAGdxtdvygfdickpussuddgdfchf


please help me :)
i will give your answer a brainiest if it’s correct!

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Answer:

a) 6ab

b) c⁶

c) 10y⁷

d) 12g⁴h⁵

Find the slope of the line that contains the following points.

Answers

slope is difference of the y-axis over difference of x-axis.

a. slope=

[tex] \frac{8 - ( - 12)}{17 - 17 } [/tex]

=infinity♾️ =tan 90°

b. slope=

[tex] \frac{ - 2 - 1}{ 6 - ( - 3)} [/tex]

= -3/9 = -1/3

Solve the system by substitution.
y = -4x
23 - 5y = 44

Answers

ExplanationGiven the system of equations.

[tex] \begin{cases} y = - 4x \\ 23 - 5y = 44 \end{cases}[/tex]

Substitute y = -4x in the second equation.

[tex]23 - 5( - 4x) = 44 \\ 23 + 20x = 44 \\ 20x = 44 - 23 \\ 20x = 21 \\ x = \frac{21}{20} [/tex]

Substitute the value of x in any given equations. I will substitute the value of x in the first equation.

[tex]y = - 4x \Longrightarrow y = - 4( \frac{21}{20} ) \\ y = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \Longrightarrow y = - \frac{21}{5} \\ y = - \frac{21}{5} [/tex]

Answer Check by substituting both values in two equations.

First Equation

[tex]y = - 4x \Longrightarrow - \frac{21}{5} = - 4( \frac{21}{20} ) \\ - \frac{21}{5} = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \\ - \frac{21}{5} = - \frac{21}{5} \: \: \: \checkmark[/tex]

Second Equation

[tex]23 - 5y = 44 \\ 23 - 5( - \frac{21}{5} ) = 44 \\23 - \cancel{5}( - \frac{21}{ \cancel{5}} ) = 44 \\ 23 + 21 = 44 \\ 44 = 44 \: \: \: \: \checkmark[/tex]

Both equations are true for the value of x and value of y.

Answer

[tex] \begin{cases} x = \frac{21}{20} \\ y = - \frac{21}{5} \end{cases}[/tex]

Coordinate Point form

[tex]( \frac{21}{20} , - \frac{21}{5} )[/tex]

there are 90 people in a group.

a sixth of the people in the group are men.

the number of women in the group is 2 times the number of men in the group.

the rest of the people in the group are children

the number of children in the group : the number of men in the group = n:1

work out the value of n.

Answers

Answer:

45 children 15 men 30 women

Step-by-step explanation:

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