Each worker would take home a net pay of $586.71.
What is the net pay?
The net pay is the amount of money that an employee takes home after all deductions have been made from their gross pay. Gross pay is the total amount of money an employee earns before taxes and other deductions are taken out.
To calculate net pay, you need to subtract all the required deductions from the employee's gross pay.
To calculate the net pay for each worker, we first need to determine their gross pay. The gross pay will depend on the number of hours they worked and whether they worked any overtime.
For the first 40 hours worked, each worker earns $15.90 per hour, so their gross pay for those hours would be:
Gross Pay for 40 hours = $15.90/hour x 40 hours = $636
For any hours worked beyond 40, the worker earns time and a half wages. This means they earn 1.5 times their regular hourly wage of $15.90, or $23.85 per hour. So, if they worked, for example, 45 hours in total, the additional 5 hours would be paid at the overtime rate, resulting in an additional gross pay of:
Gross Pay for 5 overtime hours = $23.85/hour x 1.5 x 5 hours = $178.88
Therefore, their total gross pay would be:
Total Gross Pay = Gross Pay for 40 hours + Gross Pay for 5 overtime hours = $636 + $178.88 = $814.88
Now, we need to calculate the deductions, which we are told are 28% of the gross pay. So the total deductions would be:
Total Deductions = 28% x $814.88 = $228.17
Finally, to determine the net pay, we need to subtract the total deductions from the gross pay:
Net Pay = Gross Pay - Total Deductions = $814.88 - $228.17 = $586.71
Therefore, each worker would take home a net pay of $586.71.
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Three vertices of a parallelogram are located at (-4, 3), (1, -2), and (-1, 4). What are
two possible locations of the fourth vertex? Explain your reasoning.
The two possible locations of the fourth vertex are (4, -1) and (-6, 9). The solution has been obtained by using the properties of parallelogram.
What is a parallelogram?
A parallelogram has two sets of parallel sides, making it a quadrilateral. A parallelogram's opposing sides and angles are both the same length.
Finding the vector that depicts the shift from one of the given vertices to another is necessary in order to determine the fourth vertex of a parallelogram.
The third given vertex must then be added to the vector.
We know that the opposite sides of a parallelogram are parallel and equal in length, we may determine the coordinates of the other two vertices by adding the same displacement vector to two of the given vertices.
The difference between the first and second provided vertices i.e.
(1 - (-4), -2 - 3), is one potential displacement vector which is (5, -5).
On adding this vector to the third vertex, we get the fourth vertex as (4,-1).
Similarly, the difference between the second and third vertices i.e.
(-1 - 1, 4 - (-2)) is another potential displacement vector which is (-2, 6).
On adding this vector to the third vertex, we get the fourth vertex as
(-6, 9).
Hence, the two possible locations of the fourth vertex are (4, -1) and
(-6, 9).
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In the diagram, $ABCD$ABCD is a parallelogram. Which congruence theorem(s) can you use to show that $\triangle AED\ \cong\ \triangle CEB$△AED ≅ △CEB ? Select all that apply. Parallelogram A B C D is drawn with diagonals intersecting at point E.
Answer:
you are to use patagorious theory
Complete the equation that models the curve of best fit for this data.
curve of best fit: f(x) =
(
)x
X = -3 and its substitution into the first equation results in 3y = 9, which can be written as y = 3. As a result, the system of equations' solution's y-coordinate is 6.
What equation that models the curve of best fit for this data?Equation is a mathematical and physical statement that describes physical phenomena and the relationship between various physical quantities.
It usually consists of a simple variable that presents the physical quantity, followed by a personal variable that may be a personal variable that is focused on the energy.
The system of equations has a solution, and its y-coordinate is 6. This is obtained by solving for x and then putting the specified y-value (2/3) into the equation -x+3y=9. In particular, -x+3(2/3) = 9 becomes -x = 3 when -x+3(2/3) = 9.
Therefore, The system of equations has a solution, and its y-coordinate is 6.
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Last year at a certain high school, there were 100 boys on the honor roll and 80 girls on the honor roll. This year, the number of boys on the honor roll decreased by 2% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll decrease ? Round your answer to the nearest tenth (if necessary ).
Answer:
5.6%
Step-by-step explanation:
2/100 x 100 = 2
100-2 = 98 Boys on new Honor Roll
1/10 x 80 = 8
80-8 = 72 Girls on new Honor roll
180 Original Roll
170 On new Roll
x/100 x 180 = 170
x/100 = 17/18
x = 1700/18
x = 94.4444444
Round 94.4
5.6 percent decrease.
Circles and please answers please just need help Thank you so much
The area of the shaded region is given as follows:
As = 324(2π - 1) in².
What is the area of the shaded region?The area of a circle of radius r is given by π multiplied by the radius squared, as follows:
A = πr².
For this problem, the circle has a radius of [tex]18\sqrt{2}[/tex], as the radius is the diagonal of the square, hence the area is given as follows:
A = π x [tex](18\sqrt{2})²[/tex]
A = 648π in².
The area of a square of side length s is given by the square of the side length, hence the area of the square is given as follows:
A = 18²
A = 324 in².
Hence the area of the shaded region is given as follows:
As = 648π - 324
As = 324(2π - 1) in².
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WILL MARK AS BRAINLIEST
PLS 100PTS
1. what is the reciprocal of 0.0002?
2. what is the reciprocal of c/d
3. what is the reciprocal of 1⅔
4. Given that x²-y²=(x-y)(x+y)
5. Evaluate 173²-127²
6. Evaluate (8.70)²- (8.60)²
7. Evaluate 1003²- 9
Reciprocal of 0.0002 is:
1/0.0002 = 1/(2/10000) = 10000/2 = 5000Question 2Reciprocal of c/d:
1/(c/d) = d/cQuestion 3Reciprocal of 1 2/3 is:
1/(1 2/3) = 1/(5/3) = 3/5Use identity x² - y² = (x - y)(x + y) to solve the following questions.
Question 5Evaluate 173² - 127²:
173² - 127² = (173 - 127)(173 + 127) = 46*300 = 13800Question 6Evaluate (8.70)²- (8.60)²:
(8.70)²- (8.60)² = (8.70 - 8.60)(8.70 + 8.60) = 0.10*17.30 = 1.73Question 7Evaluate 1003²- 9:
1003²- 9 = 1003² - 3² = (1003 - 3)(1003 + 3) = 1000*1006 = 1006000The nutrition information on the cereal box says that a 1/2-cup serving provides 210 calories and 9 grams of dietary fiber. At that rate, find how many calories and grams of fiber are in a 2/3-cup serving.
Answer:
Step-by-step explanation:
To find the number of calories and grams of fiber in a 2/3-cup serving, we can simply multiply the values for a 1/2-cup serving by the appropriate factor. A 2/3-cup serving is 1.5 times larger than a 1/2-cup serving, so we multiply the calorie and fiber content by 1.5.
210 calories * 1.5 = 315 calories
9 grams of fiber * 1.5 = 13.5 grams of fiber
So a 2/3-cup serving would contain 315 calories and 13.5 grams of fiber.
10. How much would you need to deposit in an account now in order to have $20,000 in the account in 4 years? Assume the account earns 5% interest.
Answer:
20000*4*5/100=4000
Step-by-step explanation:
Hope this helps!
statements about -27 that are true
The statements about the number -27 that are true are given as follows:
-27 is an integer number.-27 is a rational number.What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.
Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots.
Integer numbers are numbers that have no decimal part, hence -27 is an example of an integer number, which are also rational numbers.
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Car = V-8 sedan
Year driven = third
Miles driven = 10,000
The depreciation for this vehicle using method 2 will be $
The depreciation of the vehicle at third year with miles driven 10,000 is $590.
What is depreciation cost?A fixed asset's depreciated cost is equal to its value less the total amount of accumulated depreciation that has been recorded against it.
The depreciated cost is used to calculate an asset's value after its useful life is over.
The depreciated cost helps organizations examine their capital spending patterns and their accounting technique.
The depreciated cost is also known as the "residual value," "net book value," or "changed cost base."
The depreciation cost per mile for the third year is given as 5.9 cents.
The miles driven = 10,000
The depreciation for the vehicle is:
(5.9)(10,000) = 59000 cents.
Converting into dollars:
59000/100 = $590.
Hence, the depreciation of the vehicle at third year with miles driven 10,000 is $590.
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In a regression equation (linear prediction rule), the "predicted score" for a person with a "predictor variable" score of 0 is 7. In this scenario, what is the "regression constant"?
The required value of "regression constant" is 7.
What is regression equation?Y = a + b X + e is the formula for the regression equation. The dependent variable (Y), which is being predicted or explained, has a value of Y. a, or Alpha, is a constant; it equals the value of Y when the value of X is 0, and b, or Beta, is a coefficient of X; it determines how much Y varies for each unit change in X and determines the slope of the regression line.
According o question:In a linear regression equation, the regression constant (also called the intercept) represents the predicted score when the predictor variable has a value of 0. In this scenario, the predicted score for a person with a predictor variable score of 0 is 7.
Therefore, the regression constant is 7.
The regression constant is usually combined with the regression coefficient of the predictor variable to form the complete regression equation, which is used to predict scores for individuals with different values of the predictor variable.
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The graph of f(x)=sin(x) is transformed to a new function g(x), by reflecting it over the x-axis and shifting it 2 units up. What is the equation of the new function g(x)?
On solving the provided question we can say that here trigonometry y = Asin(Bx + C)+D
What exactly is trigonometry?Trigonometry is a branch of mathematics that studies the relationship between triangle side lengths and angles. From the use of geometry in astronomical study, the area first appeared in the Hellenistic era, around the third century BC. Exact methods is a branch of mathematics that deals with specific trigonometric functions and how they can be used in calculations. In trigonometry, there are six popular trigonometric functions. Their names and acronyms are sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of the properties of triangles, particularly right triangles. However, the study of geometry is the characteristics of all geometric figures.
(x)=sin(x) consider y = Asin(Bx + C)+D adjusts the amplitude of the function (how high or low it is).
if you want to
B determines how many full wavelengths will occur during a certain time period, and C determines the phase shift (left/right on the axis) (positive values will shift left)
The vertical shift, or D, is up or down. For example, a +3 would move the entire function up 3 units.
In your situation, the amplitude is 4 since you wish to stretch vertically.
Additionally, you want to move it right three units. C = -3 (always the opposite of the direction you wish to go) (always the opposite of the direction you want to go)
g(x) = 4sin(x - 3)
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Sheet Metal Trades To determine the average thickness of a metal sheet, a Sheet metal worker measures it at five different locations. Her measurements are 0.0401, 0.0417, 0.0462, 0.0407, and 0.0428 in. What is the average thickness of the sheet?
The average thickness of the metal sheet is 0.0423 inches.
What do you mean by average?In statistics, the mean is a measure of central tendency of a set of data. It is also referred to as the arithmetic mean and is calculated by adding up all the values in the data set and dividing by the total number of values.
Mean = (sum of all values) / (number of values)
For example, suppose we have the following set of data: 5, 7, 9, 11, 13. To find the mean, we add up all the values and divide by the total number of values, which is 5 in this case:
Mean = (5 + 7 + 9 + 11 + 13) / 5
Mean = 9
Therefore, the mean of this data set is 9.
The mean is a commonly used measure of central tendency because it takes into account all the values in the data set and is sensitive to changes in the data. However, it can be affected by outliers or extreme values in the data set, which can skew the results.
To find the average thickness of the sheet, we need to add the five measurements together and then divide by 5 (the number of measurements):
Average thickness = (0.0401 + 0.0417 + 0.0462 + 0.0407 + 0.0428) / 5
Average thickness = 0.0423 in
Therefore, the average thickness of the metal sheet is 0.0423 inches.
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1/4 (x - 2/5) = -1 1/2
Step-by-step explanation:
-1 1/2 = -3/2
1/4 × (x - 2/5) = -3/2
let's multiply both sides by 4 to remove the first fraction on the left side :
x - 2/5 = -12/2
x = -12/2 + 2/5 = -6 + 2/5
-6 = -6 × 5/5 = -30/5
so,
x = -30/5 + 2/5 = -28/5 = -5 3/5 = -5.6
please pick any form you need for your result.
Complete the steps of the flowchart proof.
Note that the complete steps of the Flow Chart Proof is given as follows:
1) RS = TS, QR = UT [Given]
2) QR + RS = QR + RS [Reflexive Property of Equality]
3) QR + RS = RS + UT [Substitution Property of Equality]
4) QR + RS = QS, TS + UT = US [Segment Addition Postulate]
5) QS = US [Substitution Property of Equality]
6) Line Segment QS is congruent to Line segment US [Definition of Congruent Segments].
What is a Flow chart proof?A flow chart proof is a type of proof that uses symbols and diagrams to show the logical flow of a proof.
It is a visual way of representing a mathematical argument that can be helpful for organizing and presenting complex ideas in a clear and concise manner.
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WILL GIVE BRAINLIEST WHO EVER ANSWERS CORRECTLY, PLS HELP.
Answer:
Below
Step-by-step explanation:
From the image below you can see that
90 F + 60 L = 160 miles
and given F + L = 2 hours re arrange to F = 2 - L
and substitute this "F" into the first equation
90 (2-L ) + 60 L = 160 Solve for L
180 - 90 L + 60 L = 160
180 - 30 L = 160
- 30 L = -20
L = 2/3 hr then F = 1 1/3 hr ( because they add to '2' )
A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.
If the wheel has a radius of 30 centimeters and a height of 20 centimeters, how many square centimeters of the wheel does the label cover? (Approximate using pi equals 22 over 7)
792,000 over 7 square centimeters
66,000 over 7 square centimeters
26,400 over 7 square centimeters
2,640 over 7 square centimeters
The label covers approximately 4,800 square centimetres of the wheel of cheese.
What is the lateral surface area of a cylinder?
The lateral surface area of a cylinder can be found using the formula:
L = 2πrh
where L is the lateral surface area, r is the radius of the cylinder, and h is the height of the cylinder.
In this case, we need to find the lateral surface area of the wheel of cheese, so we can use the given radius of 30 centimetres and height of 20 centimeters to calculate:
L = 2 x (22/7) x 30 x 20
L = 4,800 square centimetres
This is the total surface area of the cylindrical-shaped wheel of cheese. However, the label does not cover the circular top and bottom, so we need to subtract their areas from the total surface area to find the area covered by the label.
The area of a circle can be found using the formula:
A = πr²
where A is the area of the circle, and r is the radius of the circle.
In this case, we have two circles (top and bottom), so the total area of the circles that are not covered by the label is:
2 x (22/7) x 30²
= 56,400/7 square centimeters
Subtracting this from the total surface area, we get:
4,800 - 56,400/7
= 33,600/7 square centimeters
= 4,800 square centimeters (rounded to the nearest whole number)
Therefore, the label covers approximately 4,800 square centimeters of the wheel of cheese.
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please help as quickly as possible!
On solving the provided question we can say that the quadratic equation is 3x²+15x+9=0
What is quadratic equation ?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
the quadratic equation is 3x²+15x+9=0
by Shridhara Charya formula method, we have
x=−0.697224
x=−4.30278
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What is the simplest form of
x^2+ 5x-36/
X^2-16
?
how do I calculate 1/6 of 11/12?
Answer: Exact Form:
11/72
Decimal Form:
0.1527 repeating
Step-by-step explanation:
6 x 12 and 1 x 11
2) Find the sum of the first 15 terms of the sequence *
(2/7) + (4/7) + (8/7) + ...
Answer:32768/7
Step-by-step explanation:
double every term
an=−1+3(n−1)
what is the 55th term in the sequence
The 55th term of the arithmetic sequence is 131.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
Given that, the nth term of the sequence is aₙ= -1+3(n−1)
Here, the 55th term in the sequence is
a₅₅= -1+3(55-1)
= -1+132
= 131
Therefore, the 55th term is 131.
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What is the solution to the equation?
2(x + 7) 2/3 = 8
Answer: x = -1
Step-by-step explanation:
simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there
Marisa solved the equation -3 = 6x as shown: -3 = 6x x= -2 which statement is correct?
Answer:
The statement "x = -2" is correct. Marisa correctly solved the equation -3 = 6x by dividing both sides by 6 to find that x = -2.
Step-by-step explanation:
Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary.
y2+7y−2=0
The quadratic equation y2 + 7y - 2 = 0 can be solved using the quadratic formula, which states that the solutions for x in the equation ax^2 + bx + c = 0 are given by:
x = (-b ± √(b^2 - 4ac)) / 2a
We can apply the quadratic formula to this equation by letting a = 1, b = 7, and c = -2:
y = (-7 ± √(7^2 - 4 * 1 * -2)) / 2 * 1
y = (-7 ± √(49 + 8)) / 2
y = (-7 ± √57) / 2
So the solutions to the equation y2 + 7y - 2 = 0 are:
y = (-7 + √57) / 2
y = (-7 - √57) / 2
The solutions to the equation are y = (-7 + √57) / 2 and y = (-7 - √57) / 2.
A distribution of all sample means or sample variances that could be obtained in samples of a given size from the same population is called
Answer:
sampling distribution
Step-by-step explanation:
:)
The cardiovascular system transports materials around the body, taking nutrients from the digestive system to the tissues, moving oxygen from the lungs to the cells, and taking wastes to the kidneys where they are filtered and excreted. What functions does the cardiovascular system share with the endoplasmic reticulum of the cell? select all that apply.
There are no shared functions between the cardiovascular system and the endoplasmic reticulum of the cell.
The endoplasmic reticulum is an organelle within cells that plays a role in protein synthesis, lipid metabolism, and other cellular processes. It does not transport materials around the body or filter wastes.
The endoplasmic reticulum is equipped with a complex network of pathways designed to meet the needs of the cell's secretory and integral membrane protein manufacturing processes. It also has adaptive responses prepared for the endoplasmic reticulum to rely on under stressful situations.
Because to the complexity and necessity of these pathways, a variety of conditions can result in a defective endoplasmic reticulum and a dysfunctional cell, which may advance disease.
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Can somebody help awnser these questions
A. The amount deducted from Frank's bank every years is $59700
B. The salary of the tax will be $99500.
C. Tax deducted from her new pay is $39800
What is simple interest?A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
a. 79600 - (79600 × 25%)
$59700
b. The formula for simple interest is:
S = p*t*r/100
p = 79600
r = 25%
t=1
S = 79600*1*25/100 = 19900
New salary = 79600 + 19900
= $99500
Hence the salary of the tax will be $99500.
c. 99500 - 59700
= $39800
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How to identify outliers in a set of data? Explain how to and answer my question.
Minimum: 1
Q1: 5
Median: 19.45
Q3: 31.5
Max: 41.6
The outliers in a set of data is the maximum value 41.6.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Given that Minimum: 1
Q1: 5
Median: 19.45
Q3: 31.5
Max: 41.6
Range = Maximum - minimum
Range =41.6 -1
= 40.6
Since Mean not including the outlier.
The outliers in a set of data is 41.6.
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When we are given the value of the ______ variable, we can use the least-squares regression line to predict the value of the ______ variable.
When we are given the value of the explanatory variable, we can use the least-squares regression line to predict the value of the outcome variable.
The least square method is the process of finding the best-fitting curve or line of best fit for a set of data points by reducing the sum of the squares of the offsets (residual part) of the points from the curve. During the process of finding the relation between two variables, the trend of outcomes is estimated quantitatively. This process is termed as regression analysis. The method of curve fitting is an approach to regression analysis. This method of fitting equations that approximates the curves to give raw data is the least squares.
It is quite obvious that the fitting of curves for a particular data set is not always unique. Thus, it is required to find a curve having a minimal deviation from all the measured data points. This is known as the best-fitting curve and is found by using the least-squares method.
When we are given the value of the explanatory variable, we can use the least-squares regression line to predict the value of the outcome variable.
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