Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $180,900. Round the final answer to the nearest hundredth.
19.50%
20.00%
21.11%
32.00%
For a taxable income of $1,80,900, the effective tax rate is 21.11%.
what is meant by marginal tax?Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.
Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.
To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.
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While surveying a cave, a spelunker follows a passage 190 m straight west, then 230 m in a direction 45.0
∘
east of south, and then 270 m at 30.0
∘
east of north. After a fourth unmeasured displacement, she finds herself back where she started. Part A Find the magnitude of the fourth displacement. Express your answer with the appropriate units. Find the direction of the fourth displacement. Express your answer in degrees.
The magnitude of the fourth displacement is 230 m, and the direction is 45° east of south.
To determine the magnitude and direction of the fourth displacement, we can add up the individual displacements and analyze the resultant displacement.
Given:
First displacement: 190 m west
Second displacement: 230 m at 45° east of south
Third displacement: 270 m at 30° east of north
Let's analyze the displacements one by one:
1. The first displacement is 190 m straight west. Since it is a straight line in one direction, we only consider its magnitude and direction. The magnitude is 190 m, and the direction is due west.
2. The second displacement is 230 m at 45° east of south. To determine the components of this displacement, we can break it into its north-south and east-west components. The east-west component is given by 230 m * cos(45°), which is approximately 162.43 m, and the north-south component is given by 230 m * sin(45°), which is also approximately 162.43 m.
3. The third displacement is 270 m at 30° east of north. Similar to the second displacement, we can determine its components. The east-west component is 270 m * cos(30°), which is approximately 233.45 m, and the north-south component is 270 m * sin(30°), which is approximately 135 m.
Now, we can add up the east-west and north-south components separately:
East-West component: 162.43 m - 233.45 m = -71.02 m
North-South component: 162.43 m + 135 m = 297.43 m
To find the magnitude of the fourth displacement, we use the Pythagorean theorem:
Magnitude of the fourth displacement = sqrt((-71.02 m)^2 + (297.43 m)^2) ≈ 230 m
The magnitude of the fourth displacement is approximately 230 m.
To find the direction of the fourth displacement, we can use the inverse tangent function:
Direction of the fourth displacement = atan((-71.02 m) / (297.43 m)) ≈ -14.67°
However, since the question asks for the direction in degrees, we need to add 180° to the result to obtain the direction relative to the positive x-axis. Therefore, the direction of the fourth displacement is approximately 180° - 14.67° = 165.33°.
Hence, the magnitude of the fourth displacement is 230 m, and the direction is approximately 165.33° east of south.
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How are exponents related to taking the root of a number
Answer:
both require powers
Step-by-step explanation:
Exponents refer to the power of numbers eg 3^5. Roots refer to two numbers which are the same which when multiplied result in a number. eg 3^2=9. or the square root of 9 is 3. Exponents and roots are related because they both require powers (ie..The same number multiplying itself for a number of times.
I am sorry if you get this wrong
PLZZ HELP I WILL GIVE 100 points to whoever gets it right
Answer:
34
Step-by-step explanation:
two fair dice are thrown together. what is the probability that the difference between the two outcomes is 3
The probability of getting a difference of 3 when two fair dice are thrown together is 1/9.
What is probability?Probability is the measure of how likely it is that a certain event will occur. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain. Probability can also be expressed as a percentage or fraction. Probability is used to describe the likelihood of an event occurring, and its calculation is based on the number of possible outcomes of the event.
This is due to the fact that there are 6 possible outcomes for each dice, and 36 possible outcomes when both dice are thrown. The only way to get a difference of 3 is for the first dice to show a 4 (1/6 probability) and the second dice to show a 1 (also 1/6 probability). This gives a combined probability of 1/6 x 1/6 = 1/36, which is 1/9.
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1. Determine whether each relation is a function.
((3, 2), (1,2), (4,3), (6, -2)}
domain = { 3,1,4,6} and range = { 2, 2 , 3 ,-2} are each relation is a function.
Describe domain.
The term "domain," which is specific to the internet, can apply to both the structure of the internet and the organization of a company's network resources. A domain is typically a sphere of knowledge or a governing region.Describe Range?
Range is the difference between the largest and lowest values in a dataset in statistics and mathematics. One indicator of data dispersion is the range.
function = ((3, 2), (1,2), (4,3), (6, -2)}
domain = { 3,1,4,6}
range = { 2, 2 , 3 ,-2}
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Which of these expressions is equivalent to log ( 15 x 24 )
Answer:
15*24=360
Step-by-step explanation:
Answer:On A.p.E.X its Log (15) + Log (24)
Step-by-step explanation:
Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.64% of women in the sample are the primary investor in their household.
There is an association between U.S. women and being the primary investor in their household.
The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.
What will the inference be?This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.
According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.
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HELLOO!! I really need to have this answered. Please help me!! Thank you!!!
Answer:
Step-by-step explanation:
The first one is equal to. 203/203 is equal to 1. 1 times any number is itself.
The second on is less than. 9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.
due now help please !!!!!!!!!!!!!!!!!!!!
PLEASE HELP I NEED AND ANSWER
Flying against the wind, an airplane travels 5040 kilometers in 6 hours. Flying with the wind, the same plane travels 6000 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
The rate of plane in still air is 1020 kilometers per hour and rate of wind is 180 kilometers per hour.
Step-by-step explanation:
Given that:
An airplane travels 5040 kilometers in 6 hours against the wind
An airplane travels 6000 kilometers in 5 hours with the wind
Let,
x be the speed of plane in still air
y be the rate of wind
Combined speed against the wind = x - y
Combined speed with the wind = x+y
Speed = \(\frac{Distance}{Time}\)
x-y= \(\frac{5040}{6} = 840\)
x - y = 840 Eqn 1
x + y = \(\frac{6000}{5} = 1200\) Eqn 2
Adding Eqn 1 and 2
x+y+x-y=1200+840
2x=2040
Dividing both sides by 2
\(\frac{2x}{2}=\frac{2040}{x}\\x=1020\)
Putting x=1020 in Eqn 2
1020+y=1200
y=1200-1020
y=180
Hence,
The rate of plane in still air is 1020 kilometers per hour and rate of wind is 180 kilometers per hour.
HELPPPPPPPPPPPPPP!!!!!!!! PLEASEEEEEEE
Answer:
No solution
Step-by-step explanation:
The slopes of both equations are identical (both being 2/3), therefore the only possible answers would be "infinitely many solutions" and "no solution". Because of the fact that the y-intercepts of the equations are different (-10 and 10) they two lines will never cross, meaning there is no solution.
Answer:
no solution
Step-by-step explanation:
\(\frac{2}{3} x - 10 = \frac{4}{6} x + 10\)
Reduce the fraction:
\(\frac{2}{3} x - 10 = \frac{2}{3} x + 10\)
Rearrange variables to the left side of the equation:
\(\frac{2}{3} x - \frac{2}{3} x = 10 + 10\)
Apply the inverse property of addition
0 = 10 + 10
0 = 20
Based on the given conditions, the system of equations has no solution.
hope this helps!! p.s. i really need brainliest :)
rewrite in standard form
\(-x^4-\dfrac{1}{7}x+1\)
Assuming the outcomes to be equally likely, find the probability that all the answers are "False."The probability that all the answers are "False* ie
The probability that all the answers are False is (1/2)²
To find the probability that all the answers are "False," assuming the outcomes to be equally likely, follow these steps:
Step 1: Determine the total number of possible outcomes for each question. Since there are only two outcomes, "True" or "False," there are 2 possible outcomes for each question.
Step 2: Identify the favorable outcome for each question. In this case, the favorable outcome is "False."
Step 3: Calculate the probability of getting a "False" answer for a single question. Since the outcomes are equally likely, the probability is 1/2 (1 favorable outcome out of 2 possible outcomes).
Step 4: Determine the total number of questions. Let's assume there are 'n' questions.
Step 5: Calculate the probability of getting all "False" answers. Since the questions are independent, multiply the probability of getting a "False" answer for a single question (1/2) by itself 'n' times.
The probability that all the answers are "False" is (1/2)²
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find any 4 rational numbers between -1/2 and 1/2
Answer:
Step-by-step explanation:
Multiply the numerator and denominator of rational numbers by 5
\(\dfrac{-1}{2}=\dfrac{(-1)*5}{2*5}=\dfrac{-5}{10}\\\\\\\dfrac{1}{2}=\dfrac{1*5}{2*5}=\dfrac{5}{10}\\\\\\In\ between \ rational \ numbers \\\\\dfrac{-4}{10} ; \dfrac{-3}{10}; \dfrac{-2}{10}; \dfrac{-1}{10}\)
If there is an x find the value of it if not explain what needs to be given
Answer:
x value is 7
the answer is 7
I’ll give 100 points
Answer:
2055 is the answer.
Step-by-step explanation:
If x represents the number of minutes and y represents the hiker elevation in feet.
y = 8.19x + 663
y = 8.19(170) + 663
y = 1392.3 + 663
y = 2055.3
Hope it helps:)
Answer:
:)
Step-by-step explanation:
Aggregates for the construction of a reinforced concrete building are supplied by two companies, Company a and Company b. Orders are for Company a to deliver 600 truck-loads a day and 400 truck-loads a day from Company b. From prior experience, it is expected that 3% of the material from Company a will be substandard, whereas 1% of the material from Company b are substandard. If we define the following events: A = Aggregates supplied by Company a; B = Aggregates supplied by Company b; and E = Aggregates are substandard, determine prob{A}; prob{B}; prob{E}, and that if a load of aggregates is found to be substandard, what is the probability that it is from Company a?
The probability that a load of aggregates found to be substandard is from Company a is approximately 0.818 or 81.8%.
To solve this problem, let's define the events and calculate the probabilities step by step:
Events:
A = Aggregates supplied by Company a
B = Aggregates supplied by Company b
E = Aggregates are substandard
Probabilities:
prob{A} = Probability of aggregates supplied by Company a = 600 truck-loads / (600 truck-loads + 400 truck-loads) = 0.6
prob{B} = Probability of aggregates supplied by Company b = 400 truck-loads / (600 truck-loads + 400 truck-loads) = 0.4
Given that 3% of the material from Company a is substandard and 1% of the material from Company b is substandard, we can calculate the probability of substandard aggregates.
prob{E|A} = Probability of substandard aggregates given they are supplied by Company a = 3% = 0.03
prob{E|B} = Probability of substandard aggregates given they are supplied by Company b = 1% = 0.01
To calculate the overall probability of substandard aggregates (prob{E}), we can use the Law of Total Probability:
prob{E} = prob{E|A} * prob{A} + prob{E|B} * prob{B}
Substituting the values we have:
prob{E} = (0.03 * 0.6) + (0.01 * 0.4)
= 0.018 + 0.004
= 0.022
Finally, to find the probability that a load of aggregates found to be substandard is from Company a (prob{A|E}), we can use Bayes' Theorem:
prob{A|E} = (prob{E|A} * prob{A}) / prob{E}
Substituting the values we have:
prob{A|E} = (0.03 * 0.6) / 0.022
= 0.018 / 0.022
≈ 0.818
Therefore, the probability that a load of aggregates found to be substandard is from Company a is approximately 0.818 or 81.8%.
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In the figure below, m 2 = 148º. Find 1
Answer:
1 = 32
Step-by-step explanation:
the total is 180 so 180 - 148 = 32
Rapunzel was setting up a room with tables for an event. The room had 4 walnuts tables, 9 poplar tables, 7 cedar tables, and 11 cherry tables
\
What is the probability that the first person to enter the room will be randomly seated at a walnut table?
Write as a reduced fraction
Answer:
The answer is 4/31
Step-by-step explanation:
Total=4+9+7+11=31
Probability =4/31
What is the tallest and shortest plant heights ?
In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.
For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.
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if you have been ask to offer your services wrapping gifts at the catholic womans league bazar. you have to wrap the following boxes. Assuming you do not have any overlap, how much wrapping paper will you need? if each container were filled what would be the total volume? express your answers in both metric and imperial.
Answer:
wowowowowowow cool
Step-by-step explanation:
the answer is easy nobody cares :)
2x(x + y) + 2(x2 + 3xy)
Answer:
4x² + 8xy
Step-by-step explanation:
Given
2x(x + y) + 2(x² + 3xy) ← distribute both parenthesis
= 2x² + 2xy + 2x² + 6xy ← collect like terms
= 4x² + 8xy
The price of apples is $3.60 for 3 pounds. Write the price as a unit rate.
Answer:
B
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
Find the original price of a pair of gloves that is $16 after a 20% discount.
Answer:
original price was 64 dollars
Step-by-step explanation:
Answer:
$15.80
Step-by-step explanation:
20% of 16, or 1/5 of 16, is 3.2. So we subtract 3.2 from 16
16 - 3.2 = 15.8
So, in dollar form, it is $15.80
So the final cost of the pair of gloves is $15.80
Mrs. Taylor is planning a pizza party for her students. She plans to purchase cheese pizza and pepperoni pizza for her students to enjoy. Cheese pizzas cost $8 each and pepperoni pizzas cost $11 each. She needs to purchase at least 12 pizzas, while spending no more than $180.
Let x represent the number of cheese pizzas purchased and y represent the number of pepperoni pizzas purchased.
What are two combinations of cheese and pepperoni pizzas that Mrs. Taylor can purchase without exceeding her spending limit?
Verify the combinations, graphically.
Verify the combinations, algebraically.
What is one combination of cheese and pepperoni pizzas that does not meet the criteria?
Verify the combination, graphically.
Verify the combination, algebraically.
The two combinations of cheese and pepperoni pizzas that Mrs. Taylor can purchase without exceeding her spending limit are; x + y ≥ 12 and
8x + 11y < 180
How to solve linear programming problems?We are told that she needs twelve pizzas. The equation below represents the number of pizzas of the type she needs to buy;
x + y ≥ 12
Where;
x represents the number of pepperoni pizzas she can buy while keeping her limit of 12 pizzas.
y represents the number of cheese pizzas she can buy while keeping her limit of 12 pizzas.
We are told that she cannot spend more than 180 dollars. Thus, our inequality is now;
8x + 11y < 180
Where;
8x represents the amount of dollars per pepperoni pizza.
11y represents the amount of dollars per cheese pizza.
These equations show all possible solutions.
The purple area in the graph attachment is verified to show the possible combinations.
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Help me please. If you help me you will get 100 point on my next question
Let the first term of a geometric sequence be 3/4, and let the second term be 15. What is the smallest n for which the nth term of the sequence is divisible by one million?
An infinite geometric series has common ratio 1/8 and sum 60. What is the first term of the series?
The smallest value of n for which the nth term of the geometric sequence with first term 3/4 and second term 15 is divisible by one .
We want to find the smallest value of n for which the nth term of the sequence is divisible by one million. In other words, we want to find the smallest value of n such that 10^6 divides the nth term of the sequence. We can rewrite this condition as (3/4)(20)^(n-1) = k*10^6, where k is an integer. Dividing both sides by 10^6 and simplifying, we get (3/4)(2/5)^(n-1) = k/125. We want to find the smallest value of n such that k/125 is an integer. Since 3 and 125 are relatively prime, k must be a multiple of 125 for k/125 to be an integer.
Therefore, we can write k = 125m, where m is an integer. Substituting this into the previous equation and simplifying, we get (2/5)^(n-1) = (4/15)m. Taking the logarithm of both sides, we get (n-1)log(2/5) = log(4/15) + log(m). Since log(2/5) is negative, we can divide both sides by log(2/5) and change the direction of the inequality to get n-1 >= (-1/log(2/5))(log(4/15) + log(m)).
Therefore, the smallest value of n for which the nth term of the sequence is divisible by one million is the smallest integer greater than or equal to (-1/log(2/5))(log(4/15) + log(m)) + 1. We want to choose m so that this expression is minimized. Since log(4/15) is negative and log(m) is non-negative, the smallest value of the expression is achieved when log(m) = 0, which corresponds to m = 1. Therefore, the smallest value of n for which the nth term of the sequence is divisible by one million is the smallest integer greater than or equal to (-1/log(2/5))(log(4/15) + log(1)) + 1, which simplifies to 24.
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(4.2x10^6)(1.1x10^7)
Answer:4.62x10^13
Step-by-step explanation:
Help me with this question.
Answer:
The equation for the nth term of the arithmetic sequence is:
\(a_{n} = a + (n-1)d\\\)
The \(a_{30}\) is 140
Step-by-step explanation:
"a" represents the first term which is -5.
"d" represents the common difference which is 5.
To find the common difference, just subtract the 2nd and 1st term.
0 - (-5) = 5
Now put the values in the equation:
\(a_{n} = a + (n - 1)d\\a_{n} = (-5) + (n - 1)5\)
We are finding the 30th term so just put 30 to the "n" to help us find the 30th term of the sequence.
\(a_{30} = -5 + (30-1)5\\a_{30} = -5 + (29)5\\a_{30} = -5 + 145\\a_{30} = 140\)
So the 30th term is 140