Cheryl's gross pay for her pay period was $2,875. Thirty percent of her gross pay was withheld for taxes, and 12% was taken out for voluntary deductions. How much was Cheryl's net pay?
Answers
Based on the calculation below, Cheryl's net pay is $1,667.50.
How do we calculate net pay?Cheryl's net pay can be calculated using the following formula:
Net pay = Gross pay * (100% - 30% - 12%) ......................... (1)
Substituting for gross pay in equation (1), we have:
Net pay = $2,875 * (100% - 30% - 12%)
Net pay = $2,875 * 58%
Net pay = $1,667.50
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After tax and voluntary deduction, Cheryl's net pay is $1,667.50.
Given that, Cheryl's gross pay= $2,875.
Tax deduction=30%, and Voluntary deductions=12%.
We need to calculate how much was Cheryl's net pay.
What is the difference between gross pay and net pay?
Employees earn gross compensation before taxes, benefits, and other payroll deductions are deducted from their pay. Net pay, often known as take-home pay, is the amount left over after all withholdings have been deducted.
We know that Net pay = Gross pay×(100% - 30% - 12%) ......................... (1)
Substituting for gross pay in equation (1), we get
Net pay = $2,875×(100% - 30% - 12%)
Net pay = $2,875×58%
Net pay = $1,667.50
Hence, after tax and voluntary deduction, Cheryl's net pay is $1,667.50.
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Related Questions
Add the expression (8.5+ 6.25m) and (12 +3.75m).
Answers
After adding the expressions (8.5+ 6.25m) and (12 +3.75m) the value is obtained as (20.5 + 10m).
What is an expression?
Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
The first expression is - (8.5+ 6.25m)
The second expression is - (12 +3.75m)
Apply the addition operation on the expressions -
= (8.5+ 6.25m) + (12 +3.75m)
= 8.5 + 6.25m + 12 + 3.75m
= 8.5 + 12 + 6.25m + 3.75m
= (20.5 + 10m)
Therefore, the value is obtained as (20.5 + 10m).
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Que tiempo emplea un carro que viaja a 420km/h para recorrer una distancia de 120km
Answers
El carro tarda aproximadamente 0.29 horas o 17.4 minutos en recorrer una distancia de 120 km a una velocidad de 420 km/h.
Para calcular el tiempo que emplea un carro que viaja a una velocidad constante de 420km/h para recorrer una distancia de 120km, podemos utilizar la fórmula de la velocidad promedio, que es distancia dividida por el tiempo.
Despejando el tiempo, obtenemos que el tiempo es igual a la distancia dividida por la velocidad, es decir:
tiempo = distancia / velocidad
Sustituyendo los valores, tenemos:
tiempo = 120km / 420km/h
Realizando la división, obtenemos:
tiempo = 0.2857 horas
Podemos convertir esto a minutos multiplicando por 60, lo que nos da:
tiempo = 17.14 minutos
Por lo tanto, el carro tarda aproximadamente 17 minutos y 8 segundos en recorrer una distancia de 120km a una velocidad constante de 420km/h.
Hola, para calcular el tiempo que emplea un carro en recorrer una distancia de 120 km a una velocidad de 420 km/h, debes utilizar la fórmula:
Tiempo = Distancia / Velocidad
En este caso:
Tiempo = 120 km / 420 km/h = 0.2857 horas
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PLEASE HELP. I don't get the problem and need help with boththe problem i tried everything.
Answers
Answer:
3. continuous; 0 ≤ x ≤ 12; 0 ≤ y ≤ 6
4. discrete; domain: {2, 4, 6, 8}; range: {10, 18, 26, 34}
Step-by-step explanation:
You don't need to "try everything." You only need to learn the vocabulary.
3.A) A continuous function is one whose graph can be drawn without lifting your pencil. The graph shown is one continuous downward sloping line between the two marked points (0, 6) and (12, 0). The function is continuous.
B) The domain of a function is the horizontal extent of its graph, the set of input values for which output values are defined. This graph extends from x=0 to x=12, so the domain is ...
0 ≤ x ≤ 12
C) The range of a function is the vertical extent of its graph, the set of output values it produces. This graph extends from y=0 to y=6, so the range is ...
0 ≤ y ≤ 6
4.A) The problem statement tells you the domain is a particular set of positive numbers. If you were to graph it, you would have to lift your pencil between plots of the specific points listed. The function is discrete.
B) The problem statement tells you the domain is a particular set of numbers. It is probably easiest to simply list them:
{2, 4, 6, 8} . . . . . . . . domain; positive even numbers less than 10
C) The expression for y tells you how to find the output values associated with these input values. The list of output values is the range of the function.
y = 4x +2 = 4(2, 4, 6, 8} +2 = (8, 16, 24, 32} +2 = {10, 18, 26, 34}
The range is ...
{10, 18, 26, 34} . . . . . the set of output values from the function
__
Additional comment
The graph of the function in problem 4 would be the four specific points (2,10), (4,18), (6,26), (8,34). That's it, the whole graph.
Can the following quadrilateral be proven to be a parallelogram based on the given information? Explain.
(picture shown below)
A.) No. It cannot be proven because at least two of the adjacent angles are not congruent to each other
B.) Yes. It can be proven because both pairs of opposite sides are congruent.
C.) No. It cannot be proven because it does not have an angle that is supplementary to both of its consecutive angles.
D.) Yes. It can be proven because both pairs of opposite angles are congruent.
Answers
Answer:
Step-by-step explanation:
The answer is, no!
Step-by-step explanation:
The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.
So, here is the given information on what we need to classify a shape as a parallelogram:-
1) Parallel Sides
2)Opposite Sides are equal.
3) Adjacent sides are not equal.
4) Opposite angles are equal.
5)Adjacent angles are not equal.
Based on this, we can classify a shape as a parallelogram.
Hope, this answer helps!
Follow the steps to find the
area of the shaded region.
Next, find the height (h)
of the triangle inside
the sector.
Hint: Use SOHCAHTOA
h = [?] cm
Round to the 4th decimal place.
14 cm
46°
14 cm
Answers
a. the area of the shaded region is 8.1879 cm²
b. the height of the triangle is 10.0708 cm
Since the shaded region is a segment, we need to find the area of the shaded region.
How to find the area of the shaded region?Area of the shaded region A = area of sector, A' - area of triangle, A"
The area of sectorArea of sector, A' = Ф/360 × πr² where
Ф = angle of sector = 46° andr = radius of circle = 14 cmSo, substituting the values of the variables into the equation, we have
A' = Ф/360 × πr²
= 46/360 × π(14 cm)²
= 46/360 × 196πcm²
= 9016π/360 cm²
= 25.0444π cm²
A' = 78.6793 cm²
So, the area of the sector is 78.6793 cm²
The Area of triangleArea of triangle, A" = 1/2r²sinФ where
r = radius of circle = 14 cm andФ = angle of sector = 46°So, substituting the values of the variables into the equation, we have
A" = 1/2r²sinФ
= 1/2 × (14 cm)²× sin46°
= 1/2 × 196 cm² × 0.7193
= 98 cm² × 0.7193
A" = 70.4914 cm²
a. The Area of the shaded regionThe area of the shaded region A = area of sector A' - area of triangle, A"
= 78.6793 cm² - 70.4914 cm²
= 8.1879 cm²
So, the area of the shaded region is 8.1879 cm²
b. What is the height of the triangle?
Using SOHCAHTOA in the triangle,
sin46° = h/14 cm
So, h = 14 cm × sin46°
= 14 cm × 0.7193
= 10.0708 cm
So, the height of the triangle is 10.0708 cm
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What percentage of 40 is 8?
Answers
Answer:
20%
Step-by-step explanation:
Answer:3
Step-by-step explanation:
(b)
The table below shows the cost price, selling price and profit or loss as a percentage of the cost
price.
Complete the table below, inserting the missing values at (i) and (ii).
(i)
(ii)
Cost Price
$55.00
(c) The table shows some rates of exchange :
Calculate the value of
(i) EC $ 1 in TT $......
(ii) US $80 in EC $ .
(iii) TT $648 in US $. .....
Selling Price
$44.00
$100.00
US $1.00 = EC $2.70
TT $1.00 = EC $ 0.40
Percentage
Profit or Loss
25% profit
(4 marks)
. (1 mark)
. (1 mark)
...... (3 marks)
Total 12 marks
Answers
Answer:
US$1.00=EC$2.70 TT$1.00=EC$0.40 calculate the value of : 1.EC$1in TT$ 2.US$80inEC$ 3.TT$648 in US$
Step-by-step explanation:
that what i've got is that I hope that helps you
How many integers from 100 to 999 can be written in base ten without using the digit 7?
Answers
The number of integers from 100 to 900 that can be written in base ten without using the digit 7 is 648.
From 100 to 999, all integers are three (3) digit numbers and available digits are (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).
It implies that the total number of digits is 9. The next thing to do will be to arrange the 9 digits in three (3) places in such a way that repetition is allowed.
In the first place;
the number of ways the number can be positioned since it can't be zero and seven = 8.Hence, the first chance is 8 out of 10 chance.
In the second and third place;
the chances are = 9∴
The number of integers from 100 to 900 that can be written in base ten without using the digit 7 is:
= 8 × 9 × 9
= 648
Therefore, the number of integers from 100 to 900 that can be written in base ten without using the digit 7 is 648.
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The graph of a linear equation has a slope of -2 of passes through (-4,3)
A. y=-2x-5
B. y=-2x+5
C. y=-2x-2
D. y=-2x+5
And came someone explain how it’s fine if not
Answers
Answer:
I think D. y= -2x+5....
When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, should the signs in the binomials be both positive, negative, or one of each? Create an example to verify your claim.
Answers
When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, the signs in the binomials should be both positive
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the true statement?The form of the polynomial is given as:
ax2 + bx + c
Where a, b, and c are positive real numbers.
Since a, b, and c are positive real numbers. then the form of the expansion would be:
ax2 + bx + c = (dx + e)(fx + g)
Example to verify the claimTake for instance, we have the following quadratic equation
x^2 + 6x + 8
Expand the equation
x^2 + 6x + 8 = x^2 + 4x + 2x + 8
Factorize the equation
x^2 + 6x + 8 = (x + 2)(x + 4)
Hence, the signs in the binomials should be both positive
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100 points brainlyest if right
Answers
Answer:
I don't know the question
Step-by-step explanation:
I would love to help tho
Answer:
you never put the question up for us to answer it
Step-by-step explanation:
determine the intersepts of the lines
Answers
Answer:
The line crosses the x-axis at 0.3, so the x-intercept is 0.3
The line crosses the y-axis at 0.4, so the y-intercept is 0.4
The value of the company divided by 96884 shares
Answers
Answer:
1123222
Step-by-step explanation:
Find x +y + z.
what is x,y, and z
Answers
Answer:
Hi, Victoria. When you are dealing with a system of equations in three variables, you want to see first if there is anyway that you can eliminate two variables in one fell swoop. Remember that for any one given equation, you can multiply both sides by the same number without making the equation untrue. Also, remember that you can add or subtract two equations.
If we add the first and second equations, we will eliminate both the x and the y.
(2x + y + z) + (2x - y - z) = (3) + (9)
Evaluate. (jk - 1 ) + j when j = - 4 and k = 5
Answers
Answer:
Step-by-step explanation:
(-4*5 - 1) + (-4)
(-20 - 1) - 4
-21 - 4
-25
HELP 10 MIN LEFT!!!!
Answers
Answer:
To one decimal place,
y = 16.3 m
Step-by-step explanation:
Using SOHCAHTOA,
In this case we need to use CAH,
WE know the angle = 25 and the hypotenuse H = 18,
so,
y = adjacent
\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)
Answer: 16.3 in.
Step-by-step explanation:
use SOH CAH TOA
cos x = adj/hyp
cos 25 = y/18
18 cos 25 = y
y= 16.3
What is the perimeter of the pentagon below? 3.2 cm?
Answers
Answer:
You didn't attach a picture of the pentagon, but the perimiter can easily be found using one of the following formulae:
Step-by-step explanation:
P = 5s, where s is the length of a side
P = 2r × Sin(180/5), where r is the radius
Determine the length of a chord whose central angle is 90° in a circle with a radius of 15 inches.
Answer Options:
15 inches
10.61 inches
21.21 inches
45 inches
Answers
The length of the chord is 21.21 inches
How to determine the chord length?The given parameters are:
Central angle, x = 90Radius, r = 15 inchesThe chord length (L) is calculated using:
L = 2 * r * sin(x/2)
Substitute known values
L = 2 * 15 * sin(90/2)
Evaluate the expression
L = 21.21 inches
Hence, the length of the chord is 21.21 inches
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The length of the chord is 21.21 inches.
What is Chord?A chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.
The given parameters are:
Central angle, x = 90
Radius, r = 15 inches
The chord length (L) is calculated by:
L = 2 X r X sin(x/2)
Substitute known values
L = 2 X 15 X sin(90/2)
L = 30 X sin 45⁰
L = 30 / √2
L = 21.21 inches
Thus, the length of the chord is 21.21 inches
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please do question g & h.
Answers
Answer:
g. x = -3, 1.875
h. (-3, 1.875)
Step-by-step explanation:
You want the solutions to K(x) = -6 for K(x) -1.6x² -1.8x +3, and the interval for which K(x) > -6.
g. K(x) = -6The attached graph shows K(x) = -6 for x = -3 and x = 1.875.
h. K(x) > -6The attached graph shows K(x) > -6 between the above values, on the interval (-3, 1.875).
__
Additional comment
We are grateful that we are directed to use technology on this problem, as a graphing calculator makes answering these questions so much easier.
Compare the quantity in Column A with the
quantity in Column B.
Answers
It Is My Work From My Laptop
Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation and solve the equation to determine how many appointments Maci had.
Part B: Logan made a profit of $235 as a mobile groomer. He charged $75 per appointment and received $40 in tips, but also had to pay a rental fee for the truck of $10 per appointment. Write an equation to represent this situation and solve the equation to determine how many appointments Logan had.
Answers
Maci and 2 appointments and Logan had 3 appointments.
How many appointments did Maci and Logan have?The linear equation that represents the total amount earned by Maci is:
Total amount earned = (amount per appointment x number of appointments) + tips
$170 = ($60 x a) + $50
$170 = $60a + $50
$170 - $50 = $60a
$120 = $60a
a = $120 / $60
a = 2
The linear equation that represents the total amount earned by Logan is:
Profit = total revenue - total cost
Profit = (fee per appointment x number of appointments) + amount received in tips - (rental fee x number of appointments)
$235 = ($75 x a) + $40 - ($10 x a)
$235 = $75a + $40 - $10a
$235 = $65a + $40
$235 - $40 = $65a
$195 = $65a
a = $195 / 65
a = 3
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Which has a greater effect on the volume-changing the radius by a given amount or changing the height by the same amount? Why?
Answers
Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.
what does (-5) - 6 =?
Answers
Answer:
-11
Step-by-step explanation:
-5-6 means subtracting a number from a negative number. When negative numbers get subtracted by another number than the number is going to get bigger if that makes sense
-5-6=-11
have a great day :D
Select the three equations that pass through the points (–4, –16) and (5, 2):
y + 4 = 2(x – 16)
y – 2 = 2(x – 5)
y = 2x – 8
y + 16 = 2(x + 4)
Answers
The equation of line passing through (-4, -16) and (5, 2) are y = 2x – 8, y - 2 = 2(x - 5) and y + 16 = 2(x + 4)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
The standard form for linear equation is:
y = mx + b
Where m is the slope and b is the y intercept
The equation of line passing through (5, 2) and (-4, -16) is:
y - 2 = [(-16-2)/(-4-5)](x - 5)
y - 2 = 2(x - 5)
y = 2x - 8
y + 16 = 2(x + 4)
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URGENT!!!! WILL GIVE BRANLIEST !!! AT LEAST TAKE A LOOK!!!!!!
A 16 ft ladder is propped up against a building at an angle of 52°. How far up the wall does the ladder go?
A) 12.6 ft
B) 25.9 ft
C) 9.9 ft
D) 20.3 ft
Answers
Answer:
A. 12.6 ft
Step-by-step explanation:
Using sin because of opposite over hypotenuse, you can find x.
sin(52) = x/16
16sin(52) = x
Plug it into your calc.
x = 12.6082
And you have your final answer.
Answer:
12.6 ft
Step-by-step explanation:
Did the quiz and I got it right
Jack leaves home for school on his bike every day at 6 a.m., travelling at 32 km/h.
One day he forgot his homework, which his mother discovered in the car 15 minutes after he had left.
She immediately left home and chased after Jack, travelling at 52 km/h.
At what time did she catch up to him?
Answers
Let's break down the information given:
- Jack's speed: 32 km/h
- Jack left at 6 a.m.
- Jack's mother's speed: 52 km/h
- Jack's mother discovered the homework 15 minutes after Jack had left.
First, we need to convert the 15 minutes of delay into hours. There are 60 minutes in an hour, so 15 minutes is equal to 15/60 = 0.25 hours.
Now, let's calculate the time it took for Jack's mother to catch up to him:
Distance traveled by Jack in 0.25 hours = Jack's speed * time
Distance traveled by Jack in 0.25 hours = 32 km/h * 0.25 hours = 8 km
Since Jack's mother is traveling at a faster speed than Jack, she will cover this distance faster. To determine the time it takes for her to catch up, we divide the distance by her speed:
Time taken for Jack's mother to cover 8 km = Distance / Speed
Time taken for Jack's mother to cover 8 km = 8 km / 52 km/h ≈ 0.154 hours
Now, we can add this time to the initial delay of 0.25 hours to find out when Jack's mother catches up to him:
Time when Jack's mother catches up to him = 6 a.m. + 0.25 hours + 0.154 hours
To simplify the calculation, we can convert the minutes into hours:
0.25 hours + 0.154 hours = 0.404 hours
Converting back to minutes:
0.404 hours * 60 minutes/hour ≈ 24.24 minutes
Adding this to the initial time of 6 a.m.:
Time when Jack's mother catches up to him ≈ 6:24 a.m.
Therefore, Jack's mother catches up to him at approximately 6:24 a.m.
What is the result of 2 (2x - y) ?
Answers
Answer:
Step-by-step explanation:
Distribute the 2 into the parenthesis:
4x-2y
Answer:
4x - 2yStep-by-step explanation:
What is the result of 2 (2x - y) ?
2 * (2x - y) =
4x - 2y
what is the circumference of this circle d=8cm round your answer to 2 decimal places
Answers
The circumference of the circle is 25. 12cm
How to determine the circumference of the circleThe formula for calculating the circumference of a circle is expressed as;
C = 2πr
Given that;
C is the circumference of the circleπ takes the constant value of 3. 14r is the radius of the circleThe formula for radius is expressed as;
Radius = diameter/2
Radius = 8/2
Radius = 4cm
Substitute the values
Circumference, C = 2× 3.14 × 4
Multiply through
Circumference = 25. 12cm
Hence, the value is 25. 12cm
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"What is the rest wavelength of an emission line observed at 2148 nanometers in a galaxy 100
Megaparsecs away from the Milky Way? Your answer should be significant to four digits."
Answers
The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.
The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.
In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.
Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.
The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.
To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)
Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.
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A person randomly selects one of six envelopes. Each envelope contains a check that the person gets to keep. Determine a persons expectation if the six envelopes contain checks for $64 $226 $280 $400 $514 and $1095
Answers
The number of envelops, n=6.
The expectation value can be obtained as,
\(\begin{gathered} E=\frac{64+226+280+400+514+1095}{6} \\ =\frac{2579}{6} \\ \approx429.83 \end{gathered}\)Therefore, a person's expectation is to get approximately $429.83 from the envelope.