for every 5 hours that he works, andre is paid $60.20. use this information to complete the table.

a) FIT: $16.89
b) FICA: $39.68
c) Medicare: $9.28
d) State: $19.20
e) Local: $9.60
f) Medical: $14.92
g) Total Deductions: $121.57
h) Net Pay: $518.43.

a) FIT (Federal Income Tax): To calculate the FIT, we need to determine the taxable income first. Alisha's gross weekly pay is $640, and she has the following deductions: union dues ($4.50) and other ($7.50). So her total deductions are $4.50 + $7.50 = $12.

Her taxable income is her gross pay minus the total deductions: $640 - $12 = $628.

To find the FIT, we multiply the taxable income by the FIT rate. Since the question does not provide the FIT rate, I cannot calculate the exact amount of FIT. However, the FIT rate is determined by a progressive tax system, which means the rate increases as the income increases.

b) FICA (Social Security): FICA is a federal payroll tax that is used to fund Social Security and Medicare programs. The FICA rate for Social Security is currently 6.2% of the gross income. To calculate the FICA for Alisha, we multiply her gross income of $640 by 6.2% (0.062). The result will be the amount deducted for Social Security.

c) Medicare: The Medicare tax rate is 1.45% of the gross income. To calculate the Medicare tax for Alisha, we multiply her gross income of $640 by 1.45% (0.0145). The result will be the amount deducted for Medicare.

d) State: The state tax rate is given as 3.0% of taxable income. To calculate the state tax, we multiply the taxable income (which we calculated earlier as $628) by 3.0% (0.03).

e) Local: The local income tax rate is given as 1.5% of the gross income. To calculate the local tax, we multiply the gross income of $640 by 1.5% (0.015).

f) Medical: The question states that Alisha's medical insurance costs $1,940 per year, of which the company pays 60%. To find the amount she pays for medical insurance, we multiply the total cost by the percentage she pays: $1,940 * (1 - 0.60) = $776.

g) Total Deductions: The total deductions are the sum of all the deductions, including FIT, FICA, Medicare, state, local, and medical.

h) Net Pay: The net pay is the gross income minus the total deductions.

Please note that without specific information about the FIT rate, I cannot provide an exact calculation for FIT. Additionally, I have not included any additional deductions or allowances that Alisha may have. This answer is based solely on the information provided in the question.

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The genre which had the same number of votes in each study is: B. horror.

See the attached charts.

From the bar chart, the number of votes for horror movie is equal to 40 votes. Next, we would calculate the number of votes for horror movie in the pie chart as follows;

Number of votes = 16/100 × 250

Number of votes = 0.16 × 250

Number of votes = 40 votes.

Finally, we may infer rationally that horror is a film genre that receives the same amount of votes in each independent research.

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Answer:

Step-by-step explanation:

The correct answer is decreasing the confidence level, increasing the sample size.

A narrower confidence interval means that the range of possible values for the true population parameter is smaller, indicating greater precision in the estimate.

Increasing the sample size will increase the precision of the estimate of the population parameter, thus resulting in a narrower confidence interval.

On the other hand, decreasing the confidence level will also result in a narrower interval. Since the confidence interval represents a range of values that are likely to contain the true population parameter, a lower confidence level means that there is less uncertainty in the estimate of the population parameter, which leads to a narrower interval.

Increasing the sample size and lowering the confidence level are the correct responses.

A narrower confidence interval denotes more accuracy in the estimate because it reduces the range of potential values for the true population parameter.

A narrower confidence interval will be produced by increasing the sample size because it will improve the estimate of the population parameter's precision.

On the other hand, a narrower interval will be produced by lowering the confidence level. A lower confidence level indicates that there is less uncertainty in the estimate of the population parameter, which results in a narrower interval. The confidence interval reflects a range of values that are likely to contain the true population parameter.

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Answer:

\( \frac{x - 4}{x - 7} \)

Step-by-step explanation:

\( \frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 } \\ \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6) \\ and \: we \: will \: be \: left \: with \: \frac{x - 4}{x - 7} \)

Answer:

Step-by-step explanation:

x² + 2x - 24 = x² + 6x  - 4x - 4 * 6

                   = x(x + 6) - 4(x + 6)

                   = (x + 6) (x - 4)

x² - x - 42 = x² -7x + 6x - 6 * 7

                = x(x - 7) + 6(x - 7)

               =  (x - 7) (x + 6)

\(\frac{x^{2}+2x-24}{x^{2}-x-42}=\frac{(x + 6)*(x-4)}{(x+6)(x-7)}\\\\\\=\frac{x-4}{x-7}\)

The probability of the {X + Y ≤ 8} is 0.99933.

The random vector (x, y) has a joint pdf \(f_{xy}\)(x, y) = 2\(e^{-x}e^{-2y}\) for x > 0, y > 0.

We have to determine the probability of {X + Y ≤ 8}.

P{X + Y ≤ 8} = 1 - {X + Y > 8}

We can write it as

P{X + Y ≤ 8} = 1 - {X > 8 - Y}

P{X + Y ≤ 8} = 1 - \(\int^{\infty}_{0}\int_{8-y}^{\infty}f_{xy}(x, y)dxdy\)

P{X + Y ≤ 8} = 1 - \(\int^{\infty}_{0}\int_{8-y}^{\infty}2e^{-x}e^{-2y}dxdy\)

First integrate the function with respect to x

P{X + Y ≤ 8} = 1 - \(\int^{\infty}_{0}2e^{-2y}[e^{-x}]_{8-y}^{\infty}dy\)

P{X + Y ≤ 8} = 1 - \(\int^{\infty}_{0}2e^{-2y}[e^{-(8-y)}]dy\)

P{X + Y ≤ 8} = 1 - \(\int^{\infty}_{0}2e^{-2y-8+y}dy\)

P{X + Y ≤ 8} = 1 - \(2\int^{\infty}_{0}e^{-y-8}dy\)

P{X + Y ≤ 8} = 1 - \(2e^{-8}\int^{\infty}_{0}e^{-y}dy\)

P{X + Y ≤ 8} = 1 - \(2e^{-8}[-e^{-y}]^{\infty}_{0}\)

P{X + Y ≤ 8} = 1 - \(2e^{-8}[1-0]\)

P{X + Y ≤ 8} = 1 - 2e⁻⁸

P{X + Y ≤ 8} = 0.99933

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The complete question is:

The random vector (x, y) has a joint pdf \(f_{xy}\)(x, y) = 2\(e^{-x}e^{-2y}\) for x > 0, y > 0. find the probability of the following events:

a. {X + Y ≤ 8}

Answer:

A esta así no puedo xd ._.

Total Pens, owned by all students between all of them = 360

Total children = 360
Students having one pen = 95% of 360 = 18

Remaining 95% = 360 - 18 = 342

Half of remaining ie 342 = 171, have two pens

Other half of remaining ie 171 have no pens

Total pens, all children have between all of them = Summation (number of students x number of pens)

= (18 x 1) + (171 x 2) + (171 x 0)

= 18 + 342

= 360

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Given:

Lamont has purchased 20 trading cards.

He wants to have at least 50 trading cards.

To find:

The inequality for the number of trading cards Lamont needs and solve it.

Solution:

Let x be the number of trading cards Lamont needs.

He has 20 trading cards. So,

Total cards = x + 20

It is given that, he wants to have at least 50 trading cards. It means, total card must be greater than or equal to 50.

\(x+20\geq 50\)

Subtract 20 from both sides.

\(x+20-20\geq 50-20\)

\(x\geq 30\)

Therefore, the required inequality is \(x+20\geq 50\) and solution is \(x\geq 30\).

The number of trading cards that Lamont needs will be at least 30 trading cards.

From the information given, we are informed that Lamont has purchased 20 trading cards and wants to have at least 50 trading cards.

Therefore, the number that will be needed more will be:

= 50 - 20 = 30

Therefore, he'll need at least 30 more cards.

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Answer:

Domain is [-5, 5]

Range is [-3, 17]

Step-by-step explanation:

R1 = {(x, y)| y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5}

The domain is given by the all possible input values of x . Here the function is defined for -5 ≤ x ≤ 5, so the domain is [ - 5, 5].

The range is given by the output values  of he function.

When x = - 5

f (- 5) = 2 (-5 ) + 7 = - 3

When x = 5

f (5) = 2 (5) + 7 = 17

So, the range is [ -3 , 17].

The function f(x) and g(x) is given as follows:

The composite function is defined as:

Replace x with g(x) in the expression given for f(x):

Substitute g(x)=2x-1 into the right-hand side of the equation:

Recall that,

Notice that the composite function is a polynomial function of degree one (linear).

Recall also, that the domain of all polynomial functions is the set of real numbers.

Hence, the domain of the composite function (fog)(x) is the set of real numbers.

The set of real numbers in interval form is:

The answer is:

Therefore, the appropriate percent in the pie chart to represent the preference for Klean laundry detergent is 15%.

Percent is a way of expressing a fraction or a ratio as a portion of 100. The word "percent" means "per hundred." It is denoted by the symbol "%". Percentages are commonly used to express rates, proportions, or parts of a whole in various fields, such as mathematics, science, finance, and statistics. For example, an interest rate of 5% per annum means that for every 100 units of money, the lender will receive 5 units of interest each year.

Here,

To find the appropriate percent in the pie chart to represent the preference for Klean laundry detergent, we need to calculate the fraction of people who prefer Klean detergent, and then convert it to a percentage.

The fraction of people who prefer Klean detergent is:

75/500 = 0.15

To convert this fraction to a percentage, we can multiply by 100:

0.15 x 100 = 15%

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The standard matrix representation of L is A = [ 1 0 -1; 0 0 2; 0 1 1 ]

To find the standard matrix representation of L for each linear transformation L, the following steps can be followed:

L : R2R2 : L(x) =

First, find the image of the standard basis vectors of R2, e1, and e2 under L. To find the image of e1, we let x = (1,0) since e1 is the standard basis vector for R2 in the x direction. We then have

L(e1) = L(1,0) = (1,0) + (0,1) = (1,1)

Next, to find the image of e2, we let x = (0,1) since e2 is the standard basis vector for R2 in the y direction. We then have

L(e2) = L(0,1) = (-1,0) + (1,1) = (0,1) + (-1,0)

Therefore, the standard matrix representation of L is A = [ 1 -1; 1 0 ]

L : R2 R2: L(x) = x1e2To find the standard matrix representation of L, we find the image of e1 and e2 under L. To find the image of e1, we let x = (1,0) since e1 is the standard basis vector for R2 in the x direction. We then have

L(e1) = L(1,0) = 1e2 = (0,1)

Next, to find the image of e2, we let x = (0,1) since e2 is the standard basis vector for R2 in the y direction. We then have

L(e2) = L(0,1) = 0e2 = (0,0)

Therefore, the standard matrix representation of L is A = [ 0 0; 1 0 ]

L: R3R3:L(x) =

First, we find the image of the standard basis vectors of R3, e1, e2, and e3, under L. To find the image of e1, we let x = (1,0,0) since e1 is the standard basis vector for R3 in the x direction. We then have

L(e1) = L(1,0,0) = (1,0,0)

Next, to find the image of e2, we let x = (0,1,0) since e2 is the standard basis vector for R3 in the y direction. We then have

L(e2) = L(0,1,0) = (0,0,1)

Lastly, to find the image of e3, we let x = (0,0,1) since e3 is the standard basis vector for R3 in the z direction. We then have

L(e3) = L(0,0,1) = (-1,2,1)

The standard matrix representation of L is A = [ 1 0 -1; 0 0 2; 0 1 1 ]

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By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

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After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

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Answer:

(a) The best answer for residuals plot (a) is:

A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

A fanned pattern in the residuals plot suggests that the linear model is not appropriate because the variability of the residuals increases as the values of the explanatory variable increases. This indicates that the linear model is not capturing all the important features of the data and may not be the best fit for the data.

(b) The best answer for residuals plot (b) is:

B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear.

A curved pattern in the residuals plot suggests that the linear model is not appropriate because the relationship between the variables is not linear. This indicates that the linear model is not capturing all the important features of the data and may not be the best fit for the data.

Answer: y = -7x-2

Step-by-step explanation:

Perpindicular lines always have the opposite reciprocal of the original line's slope. so the opposite reciprocal of 1/7 is -7, and the reason why I put the -2, is because -7(-1) +2 = 5, which creates the coordinate (-1,5).

Using the percentage, the amount of pure acid in 40 oz of 15% acid solution is 6 OZ.

In the given question,

The amount of pure acid in 40 oz of 15% acid solution is in OZ.

As we know that percentage is represent as a ratio of 100. So we solve it by converting the percentage.

So

=40×15%

So the simplified form is

=40×15/100

Simplifying

=6

Hence, the amount of pure acid in 40 oz of 15% acid solution is 6 OZ.

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Step-by-step explanation:

a. y = 7-x;

x = 2

y = 7-2 = 5

b. y = x^2-1 ;

x = 2

y = 4-1 = 3

c. y = 18/x;

x = 2

y = 9

Sorry for my messed up writing. :)

Hope I helped

Answer:

1

You're welcome!

A coefficient is a constant which stands in front of a variable

For example, the coefficient of 3x is 3.  

Or, the coefficient of 9xy is 9

Same with 2x^2*z.  2

In this case, because there is nothing visible, the coefficient is 1.

Given:

Tickets to a football game cost $6 per ticket.

To find:

The equation that represents this relationship between tickets purchased and total cost.

Solution:

Let t represents the number of tickets purchased and c represents the total cost.

Cost of 1 ticket = $6

Cost of t ticket = $6t

Since, c is the total cost oft tickets, therefore the equation for given situation is

\(c=6t\)

Therefore, the required equation is \(c=6t\).

Using Taxable income formula,

a) $22,200

b) Non- business loss = $12,200 ; business loss

= $10,000

c) $10,000

We have given that

Julie's taxpayer data as following

Net loss = $40,000

Income wage = $30,000

standard deduction = $12,200

a)Computation of taxable income of Julie for 2020

total taxable income is sum of wager , net loss and standard deduction

= - $40,000 + $30,000 - $12,200

= - $22,200

negative sign indicates loss

b) business wages = $30,000

net loss = $40,000

business loss = $30,000- $40,000

= -$10,000

Non- business loss = $12,200 = standard deduction.

c) Julie's 2019 NOL ( net operating loss) is just equal to business net loss

= $30,000- $40,000 = - $10,000

Hence, we get all required answers about Julie's loss.

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To calculate Evan's AGI (Adjusted Gross Income) and taxable income if he files as a single taxpayer, we need to consider his income and deductible expenses.

Calculate Evan's total income:
  - Salary: $73,650
  - Part-time hourly pay: $700

  Total income = Salary + Part-time pay = $73,650 + $700 = $74,350

Deductible expenses:
  - Moving expenses: $1,200
  - Student loan interest: $2,890
  - Uniform cost: $1,490
  - Cash contribution: $1,345

  Total deductible expenses = $1,200 + $2,890 + $1,490 + $1,345 = $6,925

Calculate AGI:
  AGI = Total income - Total deductible expenses
  AGI = $74,350 - $6,925 = $67,425

Evan's taxable income is equal to his AGI since there were no other deductions mentioned in the question.

Therefore, Evan's AGI is $67,425, and his taxable income is also $67,425.

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Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

We have,

Income:

Salary: $73,650

Part-time work pay: $700

Total income: $73,650 + $700 = $74,350

Deductible Expenses:

Cost of moving possessions: $1,200

(This deduction applies if the move meets certain distance and time requirements. Since the move was 125 miles away, it meets the distance requirement.)

Interest paid on student loans: $2,890

Cost of purchasing a delivery uniform: $1,490

Cash contribution to State University deliveryman program: $1,345

Total deductible expenses:

$1,200 + $2,890 + $1,490 + $1,345

= $6,925

Now we can calculate Evan's AGI and taxable income:

AGI (Adjusted Gross Income)

= Total income - Deductible expenses

AGI = $74,350 - $6,925 = $67,425

Taxable Income = AGI - Standard Deduction

For a single filer in 2022, the standard deduction is $12,550.

Taxable Income = $67,425 - $12,550 = $54,875

Therefore,

Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

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Answer:

3/2

Step-by-step explanation:

Pick two points on the graph

(-1,2) and (3,8)

We can use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 8-2)/(3 - -1)

   = (8-2)/(3+1)

   = 6/4

  = 3/2

z = 24

Given the expression as described in the question

Multiply both sides by 4 as shown

Hence the value of z from the expression is 24

Answer:

1m

Step-by-step explanation:

Answer:

DUDE WHO GAVE YOU THIS WORK SHEET

The inverse of the function f(x) = log of (4x + 5) - 6 to the base 3 is f^-1(x) = [x^(y+6) -5]/4

A function is said to have an inverse if it is both one-to-one and onto

For the function f(x) = log of (4x + 5) - 6 to the base 3

we replace f(x) with y and make x the subject to arrive at the inverse f^-1(x) as follows;

y = log of (4x + 5) - 6 to the base 3

y + 6 = log of (4x + 5) to the base 3 {add 6 to both sides}

3^(y+6) = 4x + 5 {by law of logarithm which states that if the log of "a" to the base "b" is equal to "x", then a = b^x}

also;

4x + 5 = 3^(y+6)

4x + 5 - 5= 3^(y+6) - 5

{subtract 5 from both sides}

x= [3^(y+6) - 5]/4

so,

y = [3^(x+6) - 5]/4 and

f^-1(x) = [3^(x+6) - 5]/4

Hence, the inverse of the function f is derived by interchanging the value of x for y and vice versa, that is f^-1(x) = [3^(x+6) - 5]/4

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Answer:

Yes

Step-by-step explanation:

Hi,

Since, in this case, x is being raised to something, then that means it is, in fact, an exponential function.

Hope this helps :)

the 80% confidence interval estimate of the mean weight change for the population is approximately 1.8 kg to 8.9 kg.

Given bootstrap samples:

Sample 1: {15, 15, 15, 2}

Sample 2: {15, -4, 2, 15}

Sample 3: {15, -4, 3, 2}

Sample 4: {3, -4, 2, 15}

Sample 5: {2, 2, 2, 3}

Sample 6: {3, -4, 3, -4}

Sample 7: {15, 3, 4, 2}

Sample 8: {-4, 3, -4, 3}

Sample 9: {-4, 2, 4, 3}

Sample 10: {3, 15, 15, 15}

Calculate the mean weight change for each sample.

Sample 1: Mean = (15 + 15 + 15 + 2) / 4 = 11.8

Sample 2: Mean = (15 - 4 + 2 + 15) / 4 = 7.0

Sample 3: Mean = (15 - 4 + 3 + 2) / 4 = 4.0

Sample 4: Mean = (3 - 4 + 2 + 15) / 4 = 4.0

Sample 5: Mean = (2 + 2 + 2 + 3) / 4 = 2.3

Sample 6: Mean = (3 - 4 + 3 - 4) / 4 = -0.5

Sample 7: Mean = (15 + 3 + 4 + 2) / 4 = 6.0

Sample 8: Mean = (-4 + 3 - 4 + 3) / 4 = -0.5

Sample 9: Mean = (-4 + 2 + 4 + 3) / 4 = 1.3

Sample 10: Mean = (3 + 15 + 15 + 15) / 4 = 12.0

Mean of Sample Means = (11.8 + 7.0 + 4.0 + 4.0 + 2.3 + (-0.5) + 6.0 + (-0.5) + 1.3 + 12.0) / 10 = 5.34

Standard Error = standard deviation / √(number of samples)

Given that the standard deviation is not provided, we will use the standard deviation of the original data set: 6.1 kg.

Standard Error = 6.1 / √10 = 1.93

The margin of Error = critical value * standard error

To find the critical value for an 80% confidence interval, we can refer to the t-distribution table or use a calculator. For a two-tailed test with 10 samples and an 80% confidence level, the critical value is approximately 1.833.

Margin of Error = 1.833 * 1.93 = 3.54

Lower Bound = Mean of Sample Means - Margin of Error

Lower Bound = 5.34 - 3.54 = 1.80

Upper Bound = Mean of Sample Means + Margin of Error

Upper Bound = 5.34 + 3.54 = 8.88

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Answer:

I'm not 100% positive that my answer is remotley correct but I would say 25.

Step-by-step explanation:

and if that is you in your profile pic, you are very pretty.

I hope my answer helps!