Jim's income tax liability for the $45,000 he earned from his three employers would be $9,500.
To calculate Jim's income tax, we first need to find his total income. Since he worked for three different employers, his total income would be the sum of his earnings from each employer, which is $15,000 * 3 = $45,000.
Next, we need to know the tax rates that apply to Jim's income. Income tax rates are usually progressive, meaning different portions of income are taxed at different rates.
Using the hypothetical tax rates mentioned above, we can calculate Jim's income tax liability:
First $10,000 at 10%: $10,000 * 0.10 = $1,000
Next $20,000 at 20%: $20,000 * 0.20 = $4,000
Remaining $15,000 at 30%: $15,000 * 0.30 = $4,500
Now, summing up the tax amounts from each tax bracket: $1,000 + $4,000 + $4,500 = $9,500.
Therefore, Jim's income tax liability should have been $9,500.
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Final answer:
Jim earned a total of $45,000 from three employers. Using a simplified marginal tax rate example, his total income tax comes to approximately $7,106.25. This calculation method demonstrates how the marginal tax rate system works in a basic form.
Explanation:
To determine how much income tax Jim should have paid on his earnings from three different employers, where each paid him $15,000, we first need to calculate his total income. Jim's total income is $15,000 from each job, multiplied by 3, because he worked for three different employers, resulting in a total income of $45,000.
Assuming a simple tax rate example (for illustrative purposes), let's use the marginal tax rates provided in the reference:
Income from $0 to $9,075 is taxed at 10%
Income from $9,075 to $36,900 is taxed at 15%
Income from $36,900 and beyond is taxed at 25%
Since Jim earns $45,000, here is how his taxes would be calculated:
The first $9,075 is taxed at 10%, amounting to $907.50.
The next $27,825 ($36,900 - $9,075) is taxed at 15%, amounting to $4,173.75
The remaining $8,100 ($45,000 - $36,900) is taxed at 25%, amounting to $2,025.
Add up these amounts to get the total tax:
$907.50 + $4,173.75 + $2,025 = $7,106.25
Therefore, applying this simplified tax calculation, Jim should have paid a total of roughly $7,106.25 in income tax on his total earnings of $45,000 from three different employers.
(−0.9−2.5−(−8.2))·(−0.625)
Answer:
I think the answer is -3, i'm not sure tho :(
Step-by-step explanation:
Answer: -17.425
Step-by-step explanation:
What does x equal in the equation x-12+5x=24
Answer:
2
Step-by-step explanation:
Answer: [tex]x=2.4[/tex] or [tex]x=\frac{12}{5}[/tex] mark as brainliest please!
Step-by-step explanation:
[tex]12+5x=24\\-12 -12\\5x=12\\x=\frac{12}{5} \\x=2.4[/tex]
Tamara finds the sum of two numbers cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two numbers cubes. how manny times should tamara expect the sum of the two cubes be equal to 7 if she rolls the two numbers cubes 144 times. THE SUM SHOULD BE EQUAL TO 8 ABOUT ___ TIMES
When rolling two number cubes, there are 36 possible combinations. There are 6 combinations that yield a sum of 7, so the probability is 1/6. Tamara should expect a sum of 7 about 24 times when she rolls the cubes 144 times.
Explanation:When rolling two number cubes, there are 36 possible combinations. To find out how many times Tamara should expect the sum of the two cubes to be equal to 7, we need to determine the number of combinations that result in a sum of 7.
From the chart provided, we can see that there are 6 combinations that yield a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Since there are 6 favorable outcomes out of 36 possible outcomes, the probability of rolling a sum of 7 is 6/36 or 1/6.
To calculate the number of times Tamara should expect a sum of 7 when she rolls the cubes 144 times, we can multiply the probability by the number of trials: (1/6) * 144 = 24.
Approximately what percent of the rectangle is shaded
9x1 + 4x1/100 +7x1/1000 in decimal form
The given terms combine to form 9.047 in decimal form. The mathematical conversions are based on division by powers of ten and understanding how to move the decimal point for correct place value representation.
Explanation:The question asks us to express a sum of three terms in decimal form. The terms are: 9x1, 4x1/100, and 7x1/1000.
To simplify, the first term is just 9, as anything multiplied by one remains unchanged.
The second term, when simplified, is 4 divided by 100, which is 0.04.
The third term, 7 divided by 1000, simplifies to 0.007. Adding these three numbers together gives us the decimal form of the expression.
Using the knowledge of powers of ten, we know that dividing by powers of 10 moves the decimal point to the left a number of places equal to the exponent.
For instance, when we divide 1.9436 by 1000, we get 0.0019436.
Converting whole numbers to decimals and vice versa involves moving the decimal point and keeping track of the moves with powers of ten, as seen with the example of 965 becoming 9.65 x 10².
With this understanding, the sum of the terms is as follows: 9 + 0.04 + 0.007, which equals 9.047. This combines whole numbers and decimal fractions into one rounded decimal form.
The Area of a rectangle is 3x2 + 9x square inches. The length of the rectangle is 3x inches. What is the width of the rectangle? 1. Explain how you find the area of a rectangle. 2. Explain how you find the width of a rectangle given the Area and the length. 3. Show you work and solve for the width of this rectangle.
Answer:
x + 3
Step-by-step explanation:
1. The area of a rectangle is length times width.
A = LW
2. Solve for the width by dividing both sides of the equation by the length:
W = A / L
3, Plug in the expressions for A and L:
W = (3x² + 9x) / 3x
W = (3x² / 3x) + (9x / 3x)
W = x + 3
A graph is shown below: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, and 10. The values on the y axis are 0, 4, 8, 12, 16, and 20. Points are shown on ordered pairs 0, 16 and 2, 12 and 4, 8 and 6, 4 and 8, 0. These points are connected by a line. What is the equation of the line in slope-intercept form?
The requried equation of the line in slope-intercept form is y = -2x + 16.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
To find the equation of the line in slope-intercept form, we need to determine the slope and the y-intercept of the line.
We can use the two given points on the line (0, 16) and (8, 0) to find the slope of the line:
slope = (y₂ - y₁) / (x₂ - x₁)
= (0 - 16) / (8 - 0)
= -2
Next, we can use the point-slope form of the equation of a line to find the equation of the line:
y - y₁ = m(x - x₁)
We can choose either of the two given points to plug in as (x1, y1). Let's choose the point (0, 16):
y - 16 = -2(x - 0)
Simplifying this equation, we get:
y - 16 = -2x
y = -2x + 16
Therefore, the equation of the line in slope-intercept form is y = -2x + 16.
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Find the slope of the line through the point (4,-6) and (-2,-5)
Answer:
-1/6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-(-6))/(-2-4)
m=(-5+6)/-6
m=1/-6
if 6% of an amount of money is $30 what would the full amount of money be
Answer:
I'm in my bed sleeping rn, but I an sure it's x*0.06 = 30. Solve for x: x = 30/0.06?
Step-by-step explanation:
If f.ex total amount is 100 dollar, 6% of 100 dollar is 100*0.06. If you solve for the x above, you should get the answer ^^
Consider the system of equations.
3x - y = 5,
2x + 3y = -15
Which value can the first equation be multiplied by to form opposite values on the y-term?
The solution to the system of equations is
Answer:
3x − y = 5,
2x + 3y = −15
Which value can the first equation be multiplied by to form opposite values on the y-term? 3
The solution to the system of equations is (0, -5).
Multiply by 3.
Solution is x=0, y=-5.
The coefficients of y are -1 and 3.
If we multiply the first equation by 3. Then the coefficients of y will be 3 and -3. They are opposite values.
After multiplying the first equation by 3 we get:
[tex]3(3x - y) = 3(5)\\9x-3y=15[/tex]
Then we add it with the second equation.
[tex]9x-3y+2x+3y=15-15\\11x=0\\x=0[/tex]
Using x=0 in 3x - y = 5 we get:
[tex]3(0) - y = 5\\0-y=5\\y=-5\\[/tex]
Solution is x=0, y=-5.
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if 1/4x=5-1/2 y what is the value of 8x-1
Answer:
8x - 1 = 159 - 16y
Step-by-step explanation:
1/4x=5-1/2 y what is the value of 8x-1
Beginning from the given equation, we will find the required
Which mean, we will transform the left hand side (1/4 x) to (8x-1)
[tex]\frac{1}{4} x=5-\frac{1}{2} y[/tex] multiply both sides by 4
∴ x = 20 - 2y
multiply both sides by 8
∴ 8x = 8 * ( 20 - 2y)
∴ 8x = 160 - 16y
Subtract 1 from both sides
8x - 1 = 160 - 16y - 1
∴ 8x - 1 = 159 - 16y
So, the value of 8x - 1 = 159 - 16y
In a survey sample of 83 respondents, about 30.1 percent of the sample work less than 40 hours per week. Calculate a 68 percent confidence interval for the proportion of persons who work 40 hours or more per week.
Answer:
[tex]0.42 - 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.370[/tex]
[tex]0.42 + 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.470[/tex]
The 68% confidence interval would be given by (0.370;0.470)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
[tex]p \sim N(p,\sqrt{\frac{p(1-p)}{n}})[/tex]
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 68% of confidence, our significance level would be given by [tex]\alpha=1-0.68=0.32[/tex] and [tex]\alpha/2 =0.16[/tex]. And the critical value would be given by:
[tex]z_{\alpha/2}=-0.994, z_{1-\alpha/2}=0.994[/tex]
The proportion os persons who work 40 hours or more is 1-0.301= 0.699
The confidence interval for the mean is given by the following formula:
[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]
If we replace the values obtained we got:
[tex]0.42 - 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.370[/tex]
[tex]0.42 + 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.470[/tex]
The 68% confidence interval would be given by (0.370;0.470)
PLEASE HELP 8th GRADE MATH QUESTION OVER HERE!!!
The side AB measures option 2. [tex]\sqrt{20}}[/tex] units long.
Step-by-step explanation:
Step 1:
The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).
The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.
To calculate the distance between two points, we use the formula [tex]d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}.[/tex]
where ([tex]x_{1},y_{1}[/tex]) are the coordinates of the first point and ([tex]x_{2},y_{2}[/tex]) are the coordinates of the second point.
Step 2:
For A (4, 5) and B (2, 1), ([tex]x_{1},y_{1}[/tex]) = (4, 5) and ([tex]x_{2},y_{2}[/tex]) = (2, 1). Substituting these values in the distance formula, we get
[tex]d=\sqrt{\left(2-4\right)^{2}+\left(1-5}\right)^{2}} = \sqrt{\left(2\right)^{2}+\left(4}\right)^{2}}=\sqrt{20}}.[/tex]
So the side AB measures [tex]\sqrt{20}}[/tex] units long which is the second option.
Is 64^2−48+9 a perfect square trinomial?
Answer:
yes, it is a perfect square trinomial because the square of binomial are (x-0.375) (x-0.375)
A square pyramid is shown sitting on its base.
please reply with
The surface area of the pyramid is _____
square centimeters.
Answer:
A = 384 cm²
Step-by-step explanation:
Answer:
h = 8 cm
s = 10 cm
a = 12 cm
e = 11.6619 cm
r = 6 cm
V = 384 cm3³
L = 240 cm²
B = 144 cm²
A = 384 cm²
h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area
Formula: A = a(a + √(a² + 4h²))
Answer:
Surface area of the pyramid = [tex]384cm^2[/tex]
Step-by-step explanation:
Area of a Right Square Pyramid:
[tex]=a^2+2a\sqrt{\frac{a^2}{4}+h^2 }[/tex]
The pyramid have base length: [tex]a=12cm[/tex]
Height: [tex]h=8cm[/tex]
Putting the values in the formula:
Area of the Right Square pyramid;
[tex]=12^2+2(12)*\sqrt{\frac{12^2}{4}+8^2 }\\\\ =144+24*\sqrt{\frac{144}{4}+64 } \\\\=144+24*\sqrt{36+64}\\\\ =144+24*\sqrt{100} \\\\=144+24*10\\\\=144+240\\\\=384cm^2\\\\[/tex]
The Surface area of the pyramid is [tex]384cm^2[/tex]
Solve for x
1. 3(x - 3) < 2x – 11
−6x+8/6−3/2x−1/2+5/2x
Enter your answer in the box.
Do not use decimals in your answer.
***40 POINTS*****
Answer:
-5x + 5/6 (Could also be written like: 5/6 - 5x )
Step-by-step explanation:
−6x+8/6−3/2x−1/2+5/2x
First add like terms
−6x−3/2x+5/2x = -5x
8/6−1/2=5/6
Then put the two answers together to form completed simplified equation.
-5x + 5/6 (Could also be written like: 5/6 - 5x )
Hope this helped!
Answer:
-5x + 5/6
Step-by-step explanation:
-6x + 8/6 + (-3/2x) + (-1/2) + 5/2x
-6x + (-3/2x) + 5/2x + 8/6 + (-1/2)
-7 1/2 + 2 1/2x + 1 2/6 + (-1/2)
-5x + 8/6 + (-1/2)
-5x + 5/6
Please tell me if I'm wrong, maybe consider brainliest.
Niles factored 10yz+25xz as 5x(2z+5z). Find his mistake and correct it.
Each students in Ms. Wangs class will use a keyboard with 5 buttons on it to enter a 3-digit nunber. Each button has a different digit on it, from 1 through 5. (Some possible numbers are 111, 123, and 552.) How many different 3-digit numbers are possible for a student to enter?
Answer:
The answer is 12 x 5= 60
Step-by-step explanation:
Each number from the 5 digits becomes used with each other number that is used 5 x. This creates 4*2 =16 3^3=27 +2^3=16 +1^1 = 60
5x + 8 + 3x = 26 + 6x
Answer:
X = 9
Step-by-step explanation:
ASAP WILL MARK BRAINLEST
A cylinder has a diameter of 24 m and a height of 9 m. What is the exact volume of the cylinder? Question 1 options: 1296π m3 216π m3 108π m3 972π m3
Answer:
1296π m^3
Step-by-step explanation:
The volume of a cylinder is given by
V=πr^2h
We are given the diameter. To find the radius, divide the diameter in half.
r = d/2 = 24/2 = 12
Substituting in what we know
V = pi * (12)^2 * 9
V = pi *1296 m^3
Answer:
V=1296π m3
Step-by-step explanation:
3.14(12)^2(9)
3.14(144)(9)
3.14(1296)
what are the mark up and the retail price of a suit that costs a retailer $182 if he uses a standard markup rate of 30%
Answer:
Markup: $54.60 Retail Price: $236.60
Step-by-step explanation:
Multiply 182 by 30% or 0.30. Then, add your product to the original price.
The mark up price is $ 54.60 and retail price is $236.60.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Cost of suit= $182
Mark up = 30%
Now, the mark up price
= 182 x 30/100
= 182 x 0.3
= $54.60
and, the retail price= 182+ 54.60
= $236.60
Hence, the mark up price is $ 54.60 and retail price is $236.60
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PLEASE ANSWERR
Which equation represents the line of best fit?
A. y= 10x + 45
B. y = x + 45
C. y = −10x+ 45
D. y = 45x + 10
Y-intercept is 45
Slope: (50-45)/(0.5-0)=5/0.5=10
y=10x+45
Answer: a) y=10x+45
What is the product of 1 x 1 and 5x2 2x 6 ? Write your answer in standard form. 24
Answer:
1. 1
2. 10
3. 12
Step-by-step explanation:
what is 28 1/2 of 120
Answer:
3,420
Step-by-step explanation:
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 28\frac{1}{2}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:120=\frac{120}{1}\\=\frac{57}{2}\cdot \frac{120}{1}[/tex]
[tex]\mathrm{Cross-cancel\:common\:factor:}\:2\\=\frac{57}{1}\cdot \frac{60}{1}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{57\cdot \:60}{1\cdot \:1}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:57\cdot \:60=3420\\=\frac{3420}{1\cdot \:1}\\ \\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\3420[/tex]
Hope this helps you!
Have a good night!
2. The accessory choices of 143 people are recorded in the table.
wearing a watch
no watch
wearing a belt
62
32
no belt
29
20
Create a relative frequency table that could be used to show the percentages of belt
wearers who wear a watch or not, as well as the percentages of people without belts
who wear a watch or not.
| | Wearing a Watch | Not Wearing a Watch |
|------------|-----------------|---------------------|
| Wearing a Belt | 43.36% | 22.38% |
| No Belt | 20.28% | 13.99%
The Breakdown
To create a relative frequency table, we need to calculate the percentages of belt wearers who wear a watch or not, as well as the percentages of people without belts who wear a watch or not.
First, let's calculate the total number of people:
Total = 62 + 32 + 29 + 20 = 143
Now, let's calculate the percentages:
Percentage of belt wearers who wear a watch:
= (Number of belt wearers who wear a watch / Total) × 100
= (62 / 143) *×100
≈ 43.36%
Percentage of belt wearers who do not wear a watch:
= (Number of belt wearers who do not wear a watch / Total) × 100
= (32 / 143) × 100
≈ 22.38%
Percentage of people without belts who wear a watch:
= (Number of people without belts who wear a watch / Total) × 100
= (29 / 143) × 100
≈ 20.28%
Percentage of people without belts who do not wear a watch:
= (Number of people without belts who do not wear a watch / Total) × 100
= (20 / 143) × 100
≈ 13.99%
Using these percentages, we can create the relative frequency table:
| | Wearing a Watch | Not Wearing a Watch |
|------------|-----------------|---------------------|
| Wearing a Belt | 43.36% | 22.38% |
| No Belt | 20.28% | 13.99% |
This table shows the percentages of belt wearers who wear a watch or not, as well as the percentages of people without belts who wear a watch or not.
How many gram in one pound
There are 453.592grams in 1 pound
in one pound their are 453.59237 grams.
and as my estimate is 454 grams
I hope this helps
Two similar solids have edges of 12 feet and 24 feet. If the smaller
solid has a volume of 270 cubic feet, find the volume of the other solid.
Answer: [tex]2,160\ ft^3[/tex]
Step-by-step explanation:
The first step is to find the ratio of the lengths.
According to the information given in the exercise, one the solids has edges of 12 feet and the other solid has edges of 24 feet.
Therefore, the ratio of the length of the smaller solid to the length of the is the following:
[tex]k=\frac{24\ ft}{12\ ft}\\\\k=2[/tex]
Now, the ratio to the volumes of the smaller solid to the other one is the following:
[tex]k^3=2^3=8[/tex]
Then, knowing that the volume of the smaller solid is:
[tex]V_s=270\ ft^3[/tex]
You get that the volime of the larger solid is:
[tex]V_l=270\ ft^3*8\\\\V_l=2,160\ ft^3[/tex]
To find the volume of the larger solid, we cube the ratio of the edge lengths, which in this case is 2. Then, we multiply the volume of the smaller solid by this cubed ratio to get the volume of the larger solid, which is 2160 cubic feet.
The student's question involves finding the volume of a solid similar to another solid, given the edge lengths and the volume of the smaller solid. Since the solids are similar, the ratio of their edges will be the same as the ratio of the sides, the squares of the ratio of the surfaces, and the cubes of the ratio of their volumes. For the solids in the question, the ratio of their edges is 24/12=2. Therefore, the ratio of their volumes will be 23=8.
Given the volume of the smaller solid is 270 cubic feet, the volume of the larger solid will be 270 multiplied by the volume ratio, which is 8. So the volume of the larger solid V is calculated by V = 270 x 8 = 2160 cubic feet.
The sum of two numbers is 1. Five times the larger number plus four times the smaller number is 20. Find the numbers.
Answer:
16 and -15
Step-by-step explanation:
Let the numbers be x and y
x+y = 1 ..............(1)
5x + 4y = 20 .........(2)
Solve simultaneously using elimination method by multiplying equation 1 by 5 to eliminate x
5x + 5y = 5
5x + 4y = 20. Subtract the eqns from each other
---------------------
5y - 4y = 5-20
y = -15
Put value of y into equation 1
x+y = 1
x -15 = 1
Add 15 to both sides
x = 1+15
x = 16
Therefore the numbers are 16 and -15
I hope this was helpful, please mark as brainliest
g(x)=-x^2/4+7
What is the average rate of change of g over the interval [-2,4]
Answer:
Step-by-step explanation:
g(4)=4²/4+7=11
g(-2)=(-2)²/4+7=4/4+7=1+7=8
average rate of change over the interval [-2,4]=(g(4)-g(-2))/4-(-2))
=(11-8)/6
=3/6
=1/2
Answer:
-1/2
Step-by-step explanation:
To find the average rate of change (ARC) of the function g over the interval [-2,4] we need to take the total change in the function value over the interval (which is the difference of its values at the endpoints) and divide it by the length of the interval:
ARC [−2,4] =g(4)-g(-2)/4-(-2)
Note that this is the same as finding the slope of the line connecting the points on the graph that correspond to the endpoints of the interval: