Ask question

Ask question

All categories

2 years ago

7

Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld? federal

tax of $56 Social Security tax that is 6.2% of his gross pay Medicare tax that is 1.45% of his gross pay state tax that is 19% of his federal tax

2 answers:

drek231 [11]2 years ago

8 0

Answer:

THE ANSWER IS B.

$129.04

Step-by-step explanation:

tangare [24]2 years ago

3 0

Chuck has a gross pay of $815.70. His gross pay will be reduced by:

Federal tax of $56;
Social Security tax that is 6.2% of his gross pay;
Medicare tax that is 1.45% of his gross pay;
State tax that is 19% of his federal tax.

Let's count:

1. gross pay of $815.70 - 100%,

Social Security tax of $x - 6.2%.

Then

$\dfrac{815.70}{x}=\dfrac{100}{6.2} ,\\ \\815.70\cdot 6.2=x\cdot 100,\\ \\x=\dfrac{815.70\cdot 6.2}{100} =50.5734.$

2. gross pay of $815.70 - 100%,

Medicare tax of $y - 1.45%.

Then

$\dfrac{815.70}{y}=\dfrac{100}{1.45} ,\\ \\815.70\cdot 1.45=y\cdot 100,\\ \\y=\dfrac{815.70\cdot 1.45}{100} =11.82765.$

3. Federal tax of $56 - 100%,

State tax $z - 19%.

Then

$\dfrac{56}{z}=\dfrac{100}{19} ,\\ \\56\cdot 19=z\cdot 100,\\ \\z=\dfrac{56\cdot 19}{100} =10.64.$

4. Chuck’s gross pay will be reduced by

$\$56+\$50.5734+\$11.82765+\$10.64=\$129.04105\approx \$129.04.$

You might be interested in

Question and answer choices are in the screenshot. THANK YOU!!

Anika [276]

I 11 x - 22 I > 22
∴ 11x-22 > 22          OR          (11x -22) < -22
∴ 11 x > 44             ::::::::          11x - 22 < -22
    x > 4                   ::::::::              x < 0

∴ x ∈ ( -∞ , 0 ) ∪ ( 4 , ∞)
∴ The correct choice is number 1
The solution is attached in the figure

5 0

2 years ago

A researcher gathers data on the length of essays (number of lines) and the SAT scores received for a sample of students enrol

LenaWriter [7]

Answer:

(C) The slope of the regression equation is not significantly different from zero

Step-by-step explanation:

Let's suppose that we have the following linear model:

$y= \beta_o +\beta_1 X$

Where Y is the dependent variable and X the independent variable. $\beta_0$ represent the intercept and $\beta_1$ the slope.

In order to estimate the coefficients $\beta_0 ,\beta_1$ we can use least squares estimation.

If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: $\beta_1 = 0$

Alternative hypothesis: $\beta_1 \neq 0$

Or in other wouds we want to check is our slope is significant.

In order to conduct this test we are assuming the following conditions:

a) We have linear relationship between Y and X

b) We have the same probability distribution for the variable Y with the same deviation for each value of the independent variable

c) We assume that the Y values are independent and the distribution of Y is normal

The significance level is provided and on this case is $\alpha=0.05$

The standard error for the slope is given by this formula:

$SE_{\beta_1}=\frac{\sqrt{\frac{\sum (y_i -\hat y_i)^2}{n-2}}}{\sqrt{\sum (X_i -\bar X)^2}}$

Th degrees of freedom for a linear regression is given by $df=n-2$ since we need to estimate the value for the slope and the intercept.

In order to test the hypothesis the statistic is given by:

$t=\frac{\hat \beta_1}{SE_{\beta_1}}$

The confidence interval for the slope would be given by this formula:

$\hat \beta_1 + t_{n-2, \alpha/2} \frac{\sqrt{\frac{\sum (y_i -\hat y_i)^2}{n-2}}}{\sqrt{\sum (X_i -\bar X)^2}}$

And using the last formula we got that the confidence interval for the slope coefficient is given by:

$-0.88 < \beta_1$

IF we analyze the confidence interval contains the value 0. So we can conclude that we don't have a significant effect of the slope on this case at 5% of significance. And the best option would be:

(C) The slope of the regression equation is not significantly different from zero

6 0

2 years ago

A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a followed by

Eddi Din [679]

The ABC sequence of points is clockwise in both figures, so there will be an even number of reflections or a rotation.

Rotation 90° clockwise about the point (-3, -3) would make the required transformation, but that is not an option. An equivalent is ...
• reflection across the line x = -3
• reflection across the line y = x

5 0

2 years ago

Read 2 more answers

given the area of a rectangle is 14,628 square millimeters and the width is 12 millimeters find the length

HACTEHA [7]

A= l times w. A=14628 and w=12 so length equals 1219 millimeters

8 0

2 years ago

Read 2 more answers

Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she s

faltersainse [42]

<h2>Answer</h2>

She will be scoring above 85 after her 7 assessment.

<h2>Explanation</h2>

We can model this situation using a line equation.

We know that on her first assessment, Rita scored 58 points, so our first point is (1, 58)

We also know that on her second assessment, Rita scored 63 points, so our second point is (2, 63)

To find the rate, which is the slope of our line, we are using the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where

$(x_{1},y_{1})$ are the coordinates of the first point

$(x_{2},y_{2})$ are the coordinates of the second point

From our points we can infer that $x_{1}=1$ , $y_{1}=58$ , $x_{2}=2$ , $y_{2}=63$ . Let's replace the values in our slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{63-58}{2-1}$

$m=\frac{5}{1}$

$m=5$

Now we know that Rita's score is increasing 5 points every assessment.

To complete the equation of our line, we are using the point slope formula:

$y-y_{1}=m(x-x_{1})$

$y-58=5(x-1)$

$y-58=5x-5$

$y=5x+53$

Finally, we just need to replace $y$ with 85 in our line equation and solve for $x$ to find after which assessment she will score above 85:

$85=5x+53$

$32=5x$

$x=\frac{32}{5}$

$x=6.4$

Since we can't have 0.4 assessment, she will be scoring above 85 after her 7 assessment.

3 0

2 years ago

Read 2 more answers