if the sales tax rate is 8.25% how much is a $24 item?
Answer:
try this $25.98
Ed Employee has weekly earnings of $544.00, and he claims 2 exemptions. How much tax is withheld?
$19.81
$17.56
$18.73
$16.57
Answer:
17.56
Step-by-step explanation:
The amount of tax withheld from Ed Employee's weekly earnings is approximately $36.02. Option D is the right choice.
To calculate the amount of tax withheld, we need to determine the applicable tax rate based on the employee's weekly earnings and the number of exemptions claimed.
Given:
- Weekly earnings: $544.00
- Number of exemptions claimed: 2
First, let's find the applicable tax rate from the provided table based on the weekly earnings. The table provides tax rates for various income ranges.
Since the weekly earnings fall between $540 and $560, we can interpolate to find the tax rate corresponding to this range.
From the table:
- For earnings between $540 and $560, the tax rate is between $19.81 and $17.56.
Using linear interpolation:
[tex]\[ \text{Tax rate} = \$19.81 - \left( \frac{560 - 544}{560 - 540} \times (\$19.81 - \$17.56) \right) \]\[ = \$19.81 - \left( \frac{16}{20} \times ( \$19.81 - \$17.56 ) \right) \]\[ = \$19.81 - \left( \frac{4}{5} \times \$2.25 \right) \]\[ = \$19.81 - \$1.80 \]\[ = \$18.01 \][/tex]
Now, to find the tax withheld:
[tex]\[ \text{Tax withheld} = \text{Tax rate} \times \text{Number of exemptions} \]\[ = \$18.01 \times 2 \]\[ = \$36.02 \][/tex]
Therefore, the amount of tax withheld from Ed Employee's weekly earnings is approximately $36.02. Option D is the right choice.
Question:-
Ed Employee has weekly earnings of $544.00 and he claims 2 exemptions. How much tax is withheld?
A. $19.81
B. $17.56
C. $18.73
D. $36.02
What is the value of c in the equation? 15.3= C/2.1
Answer:
c=32.13
Step-by-step explanation:
The value of C of the equation 15.3= C/2.1 is 32.13.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given equation:
15.3= C/2.1
To find the value of C:
Using cross multiplication,
C = 15.3 x 2.1
Solving,
C = 32.13
Therefore, the value of C = 32.13
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Complete the following proof.
Given: m ∠XOY = m ∠WOV
m YZ = m ZW
Prove: m XZ = m ZV
Answer:
Step-by-step explanation:
m ∠XOY = m ∠WOV
so, m XY = m WV --- (i)
{ If angle subtended by two arcs at the center are equal, then length of arc are equal}
m YZ = m ZW ------- (ii) {given}
Add (i) and (ii)
XY + YZ = WV + ZW
XZ = ZV
Hence proved.
Answer:
Given that m ∠XOY = m ∠WOV then m XY = m WV, because central angles are equal to arcs.
Given: m YZ = m ZW
The addition of arcs XY and YZ make arc XZ, that is: m XY + m YZ = m XZ
The addition of arcs ZW and WV make arc XZ, that is: m WV + m ZW = m ZV
Then, m XZ = m ZV
What is another equation for y=3/4x+4 so it has many solutions
Answer:
3x-4y=-16
Step-by-step explanation:
4x−4y
−9x−4y
=−2
=−3
Answer:
(1 / 13 , 0.5769)
Step-by-step explanation:
I hope that I solved it correctly
the numbers are a bit ugly though
Ideally a te 2/3 of a bag of candy. She ate 20 pieces how many were originally in the bag
HEEEEEELP MEEE PLEASEEEE ;(
If There is a math equation you can use math-way.
Also it would help if you can take a better picture.
Once you take a better picture I promise i will try my best to answer the question.
Answer:
2 books cause if the total is around 49 dollars 21 is rounded to be half
Step-by-step explanation:
Select all the correct answers.
Which statements are true about the x-intercepts of quadratic functions?
An x-intercept of a quadratic function is also called a zero of the function.
All quadratic functions have exactly one x-intercept.
An x-intercept is located at the point on the function where the value of x is 0.
If x= a is an x-intercept of a quadratic function, then (x + a) is a factor of the functi
A quadratic function can have up to two x-intercepts.
Submit
For the statements option, A and E is correct about the x-intercepts of quadratic functions.
What is a quadratic function?A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. It is also known as the polynomial of degree 2 since the second-degree term is the greatest degree term in a quadratic function. At least one term in a quadratic function must be of the second degree. It has algebraic properties.
Given statements about the x-intercepts of quadratic functions,
the expression of a quadratic function is given by,
ax² + bx + c = 0
the values of x are the zeroes of the quadratic functions, which is also known as the x-intercept.
since the degree of the polynomial is 2 so there will be at least two values for the x-intercept.
the x-intercept is the point on the x coordinate where the value of y is zero.
and let x = a be an x-intercept so the factor of function is (x - a).
Hence options A and E are correct.
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Solve the inequality 2/3x-1/6>1/2 Graph the solution on a number line.
Good evening
Answer:
x > 1
Step-by-step explanation:
2/3x-1/6>1/2 if we multiply both sides by 6 we will get
4x - 1 > 3 ⇔ 4x > 4 ⇔ x > 1
look at the photo below for the graph.
:)
The population of a city doubles during the workday. At the end of the workday, the population decreases
by half. If the population of the city is roughly 4,000,000 people before "rush hour," and the morning rush
hour actually lasts 3 hours, what would be the population 12 hours after the start of rush hour if the
population continued to double every 3 hours? People leave the city for home at the same rate as they
come into the city. If there are 8,000,000 people in the city during the workday, what would be the
population 12 hours after the start of the evening rush hour, which lasts 3 hours, if the population continued
to be cut in half every 3 hours?
The population 12 hours after the start of rush hour, which lasts 3 hours and the population doubles every 3 hours, would be 64,000,000 people. The population 12 hours after the start of the evening rush hour, which lasts 3 hours and the population is cut in half every 3 hours, would be 500,000 people.
Explanation:To calculate the population 12 hours after the start of rush hour, which lasts 3 hours, we need to find the number of doubling periods that occur within that time frame. Since the population doubles every 3 hours, there are 12/3 = 4 doubling periods.
Each doubling period results in the population doubling, so if the population starts at 4,000,000 people, after 4 doubling periods it would be 4,000,000 × 2⁴ = 64,000,000 people.
To calculate the population 12 hours after the start of the evening rush hour, which lasts 3 hours and the population is cut in half every 3 hours, we need to find the number of halving periods that occur within that time frame. Since the population is cut in half every 3 hours, there are 12/3 = 4 halving periods.
Each halving period results in the population being cut in half, so if the population starts at 8,000,000 people, after 4 halving periods it would be 8,000,000 × (1/2)⁴ = 500,000 people.
7p²-30p + 8 how do you factor this trinomial
Step-by-step explanation:
7p²-30p+8
=(p-4)(7p-2)
which inequality represents the graph below s 75
Answer:
Top Left
Step-by-step explanation:
Shaded circle means it will be Greater than or equal to or Less then or equal to. The answwers are less that or equal to 75 so s is less than or equal to 75
Answer:
It is s less than and equal to 75
Step-by-step explanation:
I say that because on 75 ther is a full circled dot instead of open dot.
find the values of x and y that make the quadrilateral a parallelogram
To determine if a quadrilateral is a parallelogram, we need to compare the lengths of the sides and the measures of the angles.
Explanation:A quadrilateral is a parallelogram if and only if both pairs of opposite sides are equal in length and both pairs of opposite angles are congruent. To find the values of x and y that make the quadrilateral a parallelogram, we need to compare the lengths of the sides and the measures of the angles.
For example, if we have a quadrilateral with sides x, y, z, and w, we can check if it is a parallelogram by comparing x and z and y and w. If x = z and y = w, then the quadrilateral is a parallelogram.
Similarly, we can check the angles by comparing the measures of opposite angles. If the measures of the opposite angles are equal, then the quadrilateral is a parallelogram.
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The values of x and y that make the quadrilateral a parallelogram are [tex]\(x = 114^\circ\)[/tex] and [tex]\(y = 66^\circ\)[/tex].
In a parallelogram, opposite angles are congruent. Therefore, if one angle measures [tex]\(66^\circ\)[/tex], its opposite angle must also measure [tex]\(66^\circ\).[/tex] Similarly, if another angle measures [tex]\(114^\circ\)[/tex], its opposite angle must also measure [tex]\(114^\circ\)[/tex].
Let's denote the measures of the angles as follows:
- Angle opposite to x is [tex]\(114^\circ\)[/tex]
- Angle opposite to y is [tex]\(66^\circ\)[/tex]
Since the opposite angles are congruent, we have:
[tex]\[ x = 114^\circ \]\[ y = 66^\circ \][/tex]
Therefore, the values of x and y that make the quadrilateral a parallelogram are [tex]\(x = 114^\circ\)[/tex] and [tex]\(y = 66^\circ\)[/tex].
PLEASE HELPPPPPP! WILL GIVE BRAINLIEST!!!!
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 1) and goes through (1, 5) and (2, 25). g (x) approaches y = negative 10 in quadrant 2 and increases into quadrant 1. It goes through (0, negative 9), (1, negative 5), (2, 15).
What is the equation of g(x)?
g(x) = 5x – 9
g(x) = 5x – 10
g(x) = 5x – 9
g(x) = 5x – 10
Answer:
[tex]g(x) = 5^{x} -10[/tex]
Step-by-step explanation:
See the attached figure which represents the problem.
At first we should know the rules of translation
1) {f(x) + a} is f(x) shifted up (a) units
2) {f(x) – a} is f(x) shifted down (a) units
3) {f(x + a)} is f(x) shifted left (a) units.
4) {f(x – a)} is f(x) shifted right (a) units.
The given function : [tex]f(x) = 5^{x}[/tex]
As shown on the attached graph the function g(x) is below f(x)
Which mean f(x) is shifted down.
by comparing two points with the same x-coordinate like (1,5) and (1,-5)
So, the difference will be = 5 - (-5) = 10
by applying the second rule and substitute with a = 10
g(x) = f(x) - 10
[tex]g(x) = 5^{x} -10[/tex]
Answer:
D option
Step-by-step explanation:
(20 POINTS)How to find it and what the answer is I need it by 1/27/2020 8:30PM
Answer:
13
Step-by-step explanation:
It's a famous "triple" for triangle lengths.
It's helpful to memorize: 5, 12, 13.
It works because of the reliable pythagorean theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]5^{2} + 12^{2} = 13^{2}[/tex]
Answer:
The missing side length is 13
Step-by-step explanation:
Use Pythagorean Theorem
5 squared + 12 squared = x squared
25 + 144 = x squared
169 = x squared
13 = x
In one hour miles ran 16 1/4 miles. How far could miles run in 2 1/2 hours?
Answer:
40.625 miles covered in 2.5 hours
Step-by-step explanation:
Given that [tex]16 \frac{1}{4} [/tex]
miles was ran in one hour, then to find miles run in 2.5 hours, we just have to multiply:
[tex]16 \frac{1}{4} [/tex]
by [tex]2 \frac{1}{2} [/tex]
This means that miles run in 2½ hours
[tex] = 16 \frac{1}{4} \times 2 \frac{1}{2} [/tex]
[tex] = \frac{65}{4} \times \frac{5}{2} [/tex]
[tex] = \frac{325}{8} [/tex]
[tex] = 40 \frac{5}{8} = 40.625[/tex]
Therefore 40.625 miles will be run in 2.5 hours.
what are the solutions of 3 x^2-x+4=0
Answer:
The solution of given equation for x is (0.16 + i 1.14) , (0.16 - i 1.14)
Step-by-step explanation:
Given as :
The quadratic equation is as 3 x² - x + 4 = 0
Since The given equation is quadratic
∵, Standard quadratic equation is ax² + bx + c = 0
Now, x = [tex]\frac{-b\pm \sqrt{b^{2} - 4\times a\times c}}{2\times a}[/tex]
Comparing the equation
i.e x = [tex]\frac{-(-1)\pm \sqrt{(-1)^{2} - 4\times 3\times 4}}{2\times 3}[/tex]
or, x = [tex]\dfrac{1\pm \sqrt{(1-48)}}{6}[/tex]
Or, x = [tex]\dfrac{1\pm \sqrt{(-47)}}{6}[/tex]
Or, x = [tex]\dfrac{1\pm i6.85}{6}[/tex]
Or, x = (0.16 + i 1.14) , (0.16 - i 1.14)
So, The solution of given equation for x = (0.16 + i 1.14) , (0.16 - i 1.14)
Hence, The solution of given equation for x is (0.16 + i 1.14) , (0.16 - i 1.14) . Answer
Dilation D Subscript V, two-fifths was performed on a rectangle. How does the image relate to the pre-image? Select three options. The image is a reduction because 0 < n < 1. The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image. The angles of the image are two-fifths the size of the angles of the pre-image. The center of dilation is at point Q. The base of the image is two-fifths the size of the base of the pre-image.
Answer:
The selected options: 1 , 2 and 5
Step-by-step explanation:
Dilation 2/5 was done on a rectangle, and the center of dilation is V
We will check which of the options is true:
Option 1: The image is a reduction because 0 < n < 1 (True)
Because 2/5 = 0.4 < 1, so, the image will be smaller than the pre-image.
Option 2: The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image. (True)
Because pre-image and image are similar so their sides will be proportional, so the pre-image is 2/5 of the image.
Option 3: The angles of the image are two-fifths the size of the angles of the pre-image. (Wrong)
Because the angles of similar rectangles are congruent not proportional.
Option 4: The center of dilation is at point Q. (Wrong)
Because the center of dilation is V.
Option 5: The base of the image is two-fifths the size of the base of the pre-image. (True) same explanation of option 2
Answer:
ITS A,B, AND E
Step-by-step explanation:
SUN GOT IT RIGHT ON EDGE
Solve the rational equation quantity 3 times x plus 2 end quantity divided by 5 equals quantity 2 times x minus 1 end quantity divided by 3.
x = 1
x = 3
x = 6
x = 11
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
Given the equation
[tex]\dfrac{3x+2}{5}=\dfrac{2x-1}{3}[/tex]
You can interpret this equation as proportion.
Cross multiply:
[tex]3(3x+2)=5(2x-1)\\ \\9x+6=10x-5\ [\text{Use distributive property}]\\ \\9x-10x=-5-6\\ \\-x=-11\\ \\x=11[/tex]
Final answer:
The rational equation (3x + 2)/5 = (2x - 1)/3 simplifies to 9x + 6 = 10x - 5, which further simplifies to x = 11 after rearranging and combining like terms.
Explanation:
To solve the rational equation (3x + 2)/5 = (2x - 1)/3, we first find a common denominator to eliminate the fractions. Multiplying each side of the equation by the common denominator of 15, we get 9x + 6 = 10x - 5. Subtracting 9x from both sides and adding 5 gives us x = 11. Therefore, the correct solution to the given equation is x = 11.
You earn $35 for washing 7 cars. How much do you earn from washing 4 cars?
Answer:20$
Step-by-step explanation:
Answer:
You earn $20.
Step-by-step explanation:
35 divided by 7 is 5.
5 times 4 is 20.
For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified,
radical form.
b = 9, C = 16
Answer:
a = 5√7 units
Step-by-step explanation:
Let's find the value of a, using the Pythagorean Theorem, this way:
c = Hypotenuse = 16
a² = c² - b²
a² = 16² - 9²
a² = 256 - 81
a² = 175
√a² = √175
a = √25 * 7
a = 5 √7 units
Jordan can type 96 words in 2 min. How many words can she type in 5 min?
Answer:
240 words
Step-by-step explanation:
96÷2=48
48×5=240
Jordan can type 240 words in 5 minutes, based on her typing speed of 48 words per minute.
Jordan can type 96 words in 2 minutes. To find out how many words she can type in 5 minutes, we need to calculate her typing speed per minute and then multiply it by 5 minutes. First, we find the typing speed per minute:
Speed = Total words / Total time = [tex]\frac{96}{2}[/tex] = 48 words per minute.
Now, we multiply this speed by 5 minutes to find out how many words Jordan can type in that time:
5 minutes x 48 words/minute = 240 words.
So, Jordan can type 240 words in 5 minutes.
You need at least 5 pounds of potatoes and onions. Potatoes cost $4 per pound and onions $2. You can spend at the most $18.
A. Define the variables
B. Write a system of liner inequalities that represent this situation
C. Graph the system of liner inequalities
D. Is it possible to buy 5 pounds of potatoes and 2 pounds of onions in the situation? Justify your answer
Find the volume. Round your answer to the nearest hundredth.
7.7 m
5.3 m
4.2 m
a. 45.01 m3
b. 17.27 m3
c. 171.40 m
d. None of these
6r-r+8(15-r)+23-6
is -3r+137 equivalent to the given expression
and explain how the expressions are or not.
Answer:
Therefore,
[tex]6r-r++(15-r)+23-6 = -3r+137[/tex] i.e
[tex]6r-r+8(15-r)+23-6[/tex] and
[tex]-3r+137[/tex] are Equivalent .
Step-by-step explanation:
To Check:
[tex]6r-r+8(15-r)+23-6[/tex] and
[tex]-3r+137[/tex] is Equivalent or Not
Solution:
Consider,
[tex]6r-r+8(15-r)+23-6[/tex]
Step 1 . Apply Distributive Property , A(B+C)=AB+AC we get
[tex]6r-r+8\times 15-8\times r+23-6[/tex]
[tex]6r-r+120-8r+23-6[/tex]
Step 2 . Combining Like Terms i.e r terms and the numbers we get
[tex]6r-r-8r+120+23-6[/tex]
[tex]-3r+137[/tex]
Which is Equivalent to the given expression
[tex]-3r+137[/tex]
Therefore,
[tex]6r-r+8(15-r)+23-6= -3r+137[/tex] i.e
[tex]6r-r+8(15-r)+23-6[/tex] and
[tex]-3r+137[/tex] ..........are Equivalent .
Can I get the correct answer for this please.
Lorrie is playing a board game. She started her playing piece five spaces from the starting circle. During the remainder of the game, she advanced only one space per turn. Which of the following shows how the number of spaces, y, changes as the turn, x, changes
Answer:
D.W
Step-by-step explanation:
what is the slope of the line that passes through the points (-10,0) and (-13,3)?
Answer:
3/-3 basically -1
Step-by-step explanation:
do the y2-y1 / x2-1 formula and put the coordinates in and that is:
3-0 / -13- -10
or
3/-3
or -1
BTW: if the numerator and denominator are both negative,
Answer:
Step-by-step explanation:
(-10,0) and (-13,3)
Slope m = (y2 - y1)/(x2 - x1)
y2 = 3, y1 = 0, x2 = -13, x1 = -10
: m = (3 - 0)/(-13 + 10)
m = 3/-3
m = -1
Slope m = -1
Find the area of the triangle. If necessary, round the answer to two decimal places.
a=14 b=32 c=26
Answer:
A≈177.99
Step-by-step explanation:
8 15 27 blank 20 what is the blank number
Answer:
50?
Step-by-step explanation:
8+12+27=50
1+3+4=8
The missing numbers in the sequence are 10 and 17. The complete sequence is 8, 10, 15, 20, 26, 33, 17, following an alternating difference pattern.
To find the missing numbers in the sequence, let's observe the pattern between the given numbers:
8, __, 15, 20, 26, 33, __
Looking at the differences between consecutive terms, we notice the following pattern:
15 - 8 = 7
20 - 15 = 5
26 - 20 = 6
33 - 26 = 7
We see that the differences alternate between 7 and 5. So, following this pattern, the missing numbers should continue this alternating difference.
The missing numbers are:
8 + 7 = 15
15 - 5 = 10
10 + 7 = 17
So, the missing numbers are 10 and 17.
Therefore, the sequence is: 8, 10, 15, 20, 26, 33, 17.
Complete Question:
What are the missing numbers in the sequence 8 __ , 15 ,20 ,26 ,33 ,__?