So, L. Adam Zetts will have $201.50 deducted from each semimonthly paycheck for Social Security and $47.13 deducted for Medicare.
As of 2021, the Social Security tax rate is 6.2% and the Medicare tax rate is 1.45%. Both of these taxes are deducted from an employee's paycheck, and the employer also contributes an additional amount to these programs on behalf of the employee.
To calculate how much is deducted from L. Adam Zetts' semimonthly paycheck for Social Security and Medicare, we first need to determine his gross pay for each pay period. Since he earns $78,000 per year, we can divide that by 24 (the number of semimonthly pay periods in a year) to get his gross pay per pay period:
$78,000 / 24 = $3,250
Now we can calculate the amount of Social Security tax that will be deducted from his pay:
$3,250 x 0.062 = $201.50
And we can calculate the amount of Medicare tax that will be deducted from his pay:
$3,250 x 0.0145 = $47.13
So L. Adam Zetts will have $201.50 deducted from each semimonthly paycheck for Social Security and $47.13 deducted for Medicare.
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Identify the axis of symmetry, vertex, and range for the quadratic function.
How many times greater is the area of a circle with a radius of 4in., compared to a circle with a radius of 2in.?
*
1 point
2π
4π
2
π
4
Answer:
4 times
Step-by-step explanation:
The area of a circle is given by the formula A = πr², where "r" is the radius of the circle.
Let's calculate the areas of the two circles:
For the circle with a radius of 4 inches:
=> A₁ = π(4)² = 16π in²
For the circle with a radius of 2 inches:
=> A₂ = π(2)² = 4π in²
To find the ratio of the areas, we divide the area of the circle with a radius of 4 inches by the area of the circle with a radius of 2 inches:
=> A₁/A₂ = (16π) / (4π) = 4
Therefore, the area of a circle with a radius of 4 inches is 4 times greater than the area of a circle with a radius of 2 inches.
A psychology professor wants to know whether verbal ability is related to memory quality in current first-year students at her small college. Participants in the study (first-year students at her college) complete an online memory task. The students are first shown a list of 60 words. Next they are shown a list of 10 words that were on the original list. Then they are asked to identify the words on the second list that appeared on the original list. She uses the percentage of words that were correctly recognized on the original list as her measure of memory quality. She also asks the students to report several characteristics such as their age, gender, and verbal SAT score. Each of the 750 first-year students (338 males and 412 females) at her school volunteers to participate. The professor chose 75 students at random to complete the memory task and answer the questions. The average percentage of words that were correctly recognized on the original list was 68%. The professor infers that if all 750 first-year students had completed the study, the results would show that an average of 68% (plus or minus sampling error) of the words were correctly recognized as being on the original list. Which of the following are variables in the study? Check all that apply.
A. The students' verbal SAT scores
B. The students' percentage of words that were correctly recognized on the original list
C. The 75 students
D. The 750 students
Answer:
The variable are
A and B
Step-by-step explanation:
Generally we can define a variable as a name of a placeholder representing a value now considering the option to be selected from we see that
The students' verbal SAT scores is a variable because it is a phrase or a place holder that represent a value (in the is case a numerical value) which the score its self
The second option The students' percentage of words that were correctly recognized on the original list is also a variable because it is a placeholder of a name (in this case a phrase ) that represented the actual value itself
The third option The 75 students is not a variable because it is not representing any value but itself is the value
The third option The 750 students is not a variable because it is not representing any value but itself is the value
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Plz solve. The question is in the picture. 100 points and brainliest.
Answer:
A
Step-by-step explanation:
Simplify the expression.
10,0003/4
C
Answer:
10 = 3/4c/3/4-c
Write these fractions as whole nombers
8/4
21/3
56/8
48/8
Answer:2, 7, 7, 6
Step-by-step explanation:
Answer:
1) 8/4 = 2
2) 21/3 = 7
3) 56/8 = 7
4) 48/8 = 6
Step-by-step explanation:
To convert a fraction into a whole number: Divide the numerator by the denominator.
What's a numerator?:
A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.
What's a denominator?:
A denominator is the bottom number in a fraction. So, 4 in 8/4 is the denominator.
1) 8/4 = 8 divided by 4 = 2.
2) 21/3 = 21 divided by 3 = 7
3)56/ 8 = 56 divided by 8 = 7
4) 48 / 8 = 48 divided by 8 = 6
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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HELP PLEASEEEEEEE!!!!!
The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
What are similar shapesSimilar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.
Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:
the measure of angle Z is equal to 65°
the side EF corresponds to JK and side FG corresponds to KL, so:
8/20 = 11/x
x = (11 × 20)/8 {cross multiplication}
x = 27.5
the side EF corresponds to JK and EH corresponds to JM, so:
8/20 = y/30
y = (30 × 8)/20 {cross multiplication}
y = 12
Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
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Which is the graph of y= 2 8x - 3?
Graph B.
Graph C
Graph A
Please help!
Answer:
Graph C
Step-by-step explanation:
We can tell because the equation states that the y intercept is -3 and has a steep slope
Using the information from the first question, which of the following represents the amount of money the store will earn from selling 70 videos? *
The equation for Mishra spends on buying x videos is,
\(y=8x+200\)The equation for the cost of selling x videos is,
\(s=12x\)The equation for earnig in the store by selling x videos is,
\(\begin{gathered} P=12x-(8x+200) \\ =4x-200 \end{gathered}\)Substitute 70 for x in the equation to determine the earning from selling 70 videos.
\(\begin{gathered} P=4\cdot70-200 \\ =280-200 \\ =80 \end{gathered}\)So answer is $80.
find the least common multiple of 16-8y and, (y-2)^2
Answer:
16-8y
=8 (2-y)
(y-2)^2
=
\( {y}^{2} - 4y + 4\)
Hope it helps you make me brainliest plz
find the sum: (-2)+(-1)+(-5)+(+6)
how to solve
Answer:
\(( - 2) + ( - 1) + ( - 5) + ( + 6) \\ = - 2 - 1 - 5 + 6 \\ = - 8 + 6 \\ = - 2 \\ thank \: you\)
Repost of the last question.. Sorry it wasn't full.
someobe please help me here
Answer:
\(y < -\frac{4}{5} x+4\)
Step-by-step explanation:
To graph the equation, draw the line \(y = -\frac{4}{5} x+4\) and shade in the lower left part of the graph under the line to illustrate the inequality
Then pick two points to test
Merle tiene una oferta de un emisor de tarjeta de crédito para una APR del 0
% durante los primeros 60 días y una APR del 23,19 % después, con
capitalización diaria. ¿Qué tasa de interés efectiva se ofrece Merle?
UNA 26.00%
La tarjeta de crédito tiene una tasa efectiva de interés anual de 21,375 %.
¿Cómo determinar la tasa de interés efectiva anual?
En este problema tenemos que Merle obtiene una tarjeta de crédito bajo la siguientes condiciones: 0 % E.A. para los primeros 60 días, 23,19 % E.A. para los 365 restantes.
Debemos determinar la tasa de interés efectiva anual equivalente, esto es posiblemente mediante una aplicación consecutiva del concepto de interés, descrito abajo:
I = (1 + r / 36500)ⁿ
Donde:
r - Tasa de interés anual.n - Número de días.I - Ganancia por interés.La situación es descrita por la siguiente expresión matemática:
1 + R / 100 = (1 + 0 / 36500)⁶⁰ + (1 + 23,19 / 36500)³⁰⁵
Donde R es la tasa efectiva de interés anual.
Finalmente, despejamos la variable correspondiente:
R = 21,375
La tasa efectiva de interés anual a sufragar por Merle por el uso de tarjeta de crédito es 21,375 %.
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Which of the following are solutions to the equation sinx cosx = -1/4? Check all
that apply.
A. 7pi/12 + npi
B. 7pi/12 + npi/2
C. 7pi/6 + npi
D. 11pi/12 + npi
Answer: A, D
Step-by-step explanation:
We have sinx cosx = -1/4. This means that either sinx = -1/2 and cosx = 1/2 or sinx = 1/2 and cosx = -1/2. In the first case, we get x = 7pi/6 + 2npi or x = 11pi/6 + 2npi. In the second case, we get x = 7pi/12 + 2npi or x = 17pi/12 + 2npi. Therefore, the solutions are x = 7pi/12 + npi and x = 11pi/12 + npi. So, options A and D are correct. Options B and C are not solutions to the given equation.
I neeeeed heeeelp please
Answer:
10b/y^2
Step-by-step explanation:
Hope this helps! :)
Need help on this question pls help!!!!!!!
3x -4y = 9
-5 + 4y= -23
Help ?
Answer:
here you go.
Step-by-step explanation:
it's it the picture. I hope it helps
How would you type the answer for GE as in picture for an edpuzzle answer ? What does the check mark symbol mean ?
Based on the image attached, the solution for GE is approximately 22.72.
What is the expression ?To be able to solve the equation √129 + √129 = GE, one need to simplify the expression and then isolate GE.
Step 1: One can add the square roots:
Note that the equation:
√129 + √129 = GE.
Step 2: Do put together the square root terms:
2√129 = GE.
Step 3: Then Divide by 2:
√129 = GE/2.
Step 4: The Square both sides:
129 = (GE²)/4.
Step 5: So, Multiply by 4:
516 = GE².
Lastly, Take the square root:
√516 = √(GE²)
√516 = GE
GE = 22.72. approx.
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See text below
Step 26
Solve the equation for GE:
√129+√129 = GE
GE=2/129
Show steps
Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair.
y = -2x + 5
Answer:
The answer is option A
Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
y = - 2x + 5
Comparing with the above equation
Slope = - 2
The y intercept is ( 0 , 5)
Hope this helps you
Answer = c, slope = 5
steps = Substitute x = 0
y = -2 x 0 + 5
answer y = 5 / slope = 5
PLEASE HELP!!! due today!!
Answer:
The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
Step-by-step explanation:
We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:
P = 7200/D
To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
So the distance between supports needed to carry 1600 lb is 4.5 feet.
To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
5x-y=1/4 write in slope-intercept form
The slope intercept form of the given equation is,
y = 5x - 1/4
Given an equation of a line as,
5x - y = 1/4
We have to write the equation of the line in slope intercept form.
Equation of the line in slope intercept form is,
y = mx + c
Here m is the slope and c is the y intercept.
Rearranging the given equation,
5x = y + 1/4
5x - 1/4 = y
or,
y = 5x - 1/4
Hence the slope intercept form is y = 5x - 1/4.
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PLEASE HELP WILL GIVE BRAINLISET WORHT 30 POINTS !!
The mapping of the functions h(x) = |x|/2, f(x) = 2x + 8, and f(x) = x² - 5x + 2 is defined at;
1). -2, f(-2) = 1
2). 6, f(6) = 20
3). 2, f(2) = -4
What is a functionA function is a rule that defines a relationship between one variable. It is the mapping whose codomain is the set of real numbers
For x = -2;
h(-2) = |-2|/2
h(x) = 2/2 {absolute value of -2 is 2 units}
h(x) = 1
for x = 6;
f(6) = 2(6) + 8
f(6) = 12 + 8
f(6) = 20
for x = 2;
f(2) = (2)² - 5(2) + 2
f(2) = 4 - 10 + 2
f(2) = -4
Therefore, the mapping of the functions h(x) = |x|/2, f(x) = 2x + 8, and f(x) = x² - 5x + 2 is defined at;
1). -2, f(-2) = 1
2). 6, f(6) = 20
3). 2, f(2) = -4
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Find the output (y) of the function y=-5/2 x -16 if the input (x) is -28
Answer:
y = 54
Step-by-step explanation:
y=-5/2(-28)-16
y=54
At Zach's Hats, 60% of the 55 hats are baseball caps. How many baseball caps are there?
Answer:
33 baseball caps
Step-by-step explanation: Just do 55 times .6. I think that's right I hope it helps.
What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
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Help would be appreciated
Which value of c is in the domain of f(x)
The value of c in the domain of f(x) depends on the specific function f(x) and its domain.
In order to determine which value of c is in the domain of f(x), we need to know the function f(x) and its domain. A domain is the set of all possible input values of a function.
If a value of c is in the domain of f(x), then we can plug it into the function and get a valid output.
In general, a function f(x) can have a restricted domain due to certain conditions or limitations. For example, a square root function cannot have negative values under the radical because that would result in an imaginary number.
Thus, the domain of a square root function is restricted to non-negative values.
In order to find the domain of a function, we need to consider any restrictions on the input values. For example, if we have the function f(x) = 1/x, we cannot plug in x = 0 because that would result in division by zero, which is undefined.
Therefore, the domain of f(x) is all real numbers except 0. We can write this as D(f) = {x : x ≠ 0}.Once we know the domain of f(x), we can check which value of c is in the domain by seeing if it satisfies the condition.
For example, if the domain of f(x) is D(f) = {x : x > 2}, then c = 3 is in the domain because 3 is greater than 2. On the other hand, c = 1 is not in the domain because 1 is less than 2.
Therefore, the value of c in the domain of f(x) depends on the specific function f(x) and its domain.
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Click on the graph to plot a point. Click a point to delete it.
The red dot on the graph is (2, -8)