A stack of Sunday newspapers sits on a skid 3" off the ground.
Each newspaper is 13" thick.
a. How high is the stack if there are n newspapers in it?
b. If the top of the stack is 3' high, about how many newspapers
are in the stack?
Answer: a. 3+13n
b. About 3 newspapers
Step-by-step explanation:
a. T=total thickness of newspapers on a skid in inches
T=3+13n
b. 3'=3 ft
1 ft=12 inches
3 ft=3*12 inches
3 ft=36 inches
36=3+13n
13n=33
n=2.54 ==> About 3 newspapers
A+different+class+has+285+students,+and+58.6%+of+them+are+men.+how+many+men+are+in+the+class?
Approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.
According to the given question.
Total number of students in the class is 285.
And 58.6 percent of the total students are men.
As we know that, a relative value indicating hundredth parts of any quantity is called a percent.
Therefore,
the total number of men in the class
= 58.6 percent of 285
= (58.6/100) × 285
= 0.586 × 285
= 167.01
Hence, approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.
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A bus covers 270km distance in 6 hours.
(i) Find the speed of the bus in km per hour.
(ii) How many kilometres does it travel in 9 hours at the same speed?
Answer:
(i)= 45 KPH, (ii) = 251 miles
Step-by-step explanation:
'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.
Then, to see how far a nine hour trip would cover, distance = speed * time = 251 miles.
You are using the equation 4(p-7)=44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform then to slove the equation
To solve the equation 4(p-7)=44, the first step is to simplify the left side by distributing the 4 to the parentheses, which yields 4p - 28 = 44 = p=18, meaning that up to 18 pictures can be saved at one time to the photo stream on the cell phone.
Next, isolate the variable term by adding 28 to both sides of the equation, resulting in 4p = 72.
Finally, solve for the variable by dividing both sides of the equation by 4, which gives p = 18.
Therefore, the solution to the equation is p = 18, indicating that 18 pictures can be saved at one time to the photo stream on the cell phone.
To explain in more detail, the equation 4(p-7)=44 can be seen as an algebraic expression that relates the number of pictures that can be saved (p) to a specific constraint, which is that 4 times the difference between p and 7 is equal to 44. The goal of solving the equation is to find the value of p that satisfies this constraint.
To do so, we use the properties of algebraic operations to manipulate the equation in a way that isolates the variable p on one side of the equation. This involves simplifying the left side of the equation using the distributive property, then adding or subtracting terms from both sides of the equation to isolate the variable term.
The final step is to solve for the variable by dividing or multiplying both sides of the equation by a constant, which results in the value of p that satisfies the original constraint. In this case, the solution is p=18, meaning that up to 18 pictures can be saved at one time to the photo stream on the cell phone.
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find the code word tyyy
Answer:
There is no word "tyyy"
Step-by-step explanation
It does not exist in this pitcute.
Solve the equation below.
d/1.2 = 6
D=7.2
Step-by-step explanation:
To be honest I cant give you an explanation bc i used a calculator. Sorry
One unit of A is composed of two units of B and three units of C. Each B is composed of one unit of F. C is made of one unit of D, one unit of E, and two units of F. Items A,B,C, and D have 20,50,60, and 25 units of on-hand inventory, respectively. Items A,B, and C use lot-for-lot (L4L) as their lot-sizing technique, while D,E, and F require multiples of 50,100 , and 100 , respectively, to be purchased. B has scheduled receipts of 30 units in period 1. No other scheduled receipts exist. Lead times are one period for items A, B, and D, and two periods for items C,E, and F. Gross requirements for A are 20 units in period 1,20 units in period 2, 60 units in period 6, and 50 units in period 8. Find the planned order releases for all items.
The planned order releases for each item are as follows: A: 20 units in period 1, B: 10 units in period 1, C: 40 units in period 3, D: No planned order release, E: 100 units in period 5, F: 100 units in period 5
To determine the planned order releases for all items, we need to calculate the net requirements for each period based on the given information. We will start with the highest-level item and work our way down the bill of materials.
Item A:
Period 1: Gross requirement of 20 units.
Since A uses lot-for-lot (L4L) as the lot-sizing technique, we release an order for 20 units of A.
Item B:
Item B is a component of A, and each A requires 2 units of B.
We need to calculate the net requirements for B based on the planned order release for A.
Period 1: Gross requirement of 20 units * 2 (requirement multiplier for B) = 40 units.
B has a scheduled receipt of 30 units in period 1.
Net requirement for B in period 1: 40 units - 30 units = 10 units.
Since B also uses L4L as the lot-sizing technique, we release an order for 10 units of B.
Item C:
Item C is a component of A, and each A requires 3 units of C.
We need to calculate the net requirements for C based on the planned order release for A.
Period 1: Gross requirement of 20 units * 3 (requirement multiplier for C) = 60 units.
C has a lead time of two periods, so we need to account for that.
Net requirement for C in period 3: 60 units - 20 units (scheduled receipt for A in period 1) = 40 units.
Since C uses L4L as the lot-sizing technique, we release an order for 40 units of C.
Item D:
Item D is a component of C, and each C requires 1 unit of D.
We need to calculate the net requirements for D based on the planned order release for C.
Period 3: Gross requirement of 40 units * 1 (requirement multiplier for D) = 40 units.
D has a lead time of one period, so we need to account for that.
Net requirement for D in period 4: 40 units - 60 units (scheduled receipt for C in period 3) = -20 units (no requirement).
Since the net requirement is negative, we do not release any planned order for D.
Item E:
Item E is a component of C, and each C requires 1 unit of E.
We need to calculate the net requirements for E based on the planned order release for C.
Period 3: Gross requirement of 40 units * 1 (requirement multiplier for E) = 40 units.
E has a lead time of two periods, so we need to account for that.
Net requirement for E in period 5: 40 units - 0 units (no scheduled receipt for E) = 40 units.
Since E requires a multiple of 100 to be purchased, we release an order for 100 units of E.
Item F:
Item F is a component of B and C, and each B requires 1 unit of F, while each C requires 2 units of F.
We need to calculate the net requirements for F based on the planned order releases for B and C.
Period 1: Gross requirement for B = 10 units * 1 (requirement multiplier for F) = 10 units.
Period 3: Gross requirement for C = 40 units * 2 (requirement multiplier for F) = 80 units.
F has a lead time of two periods, so we need to account for that.
Net requirement for F in period 5: 10 units + 80 units - 0 units (no scheduled receipt for F) = 90 units.
Since F requires a multiple of 100 to be purchased, we release an order for 100 units of F.
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A local outdoor equipment store is being sold. The buyers are trying to estimate the percentage of items that are outdated. They will randomly sample among its 100,000 items in order to determine the proportion of merchandise that is outdated. The current owners have never determined their outdated percentage and can not help the buyers. Approximately how large a sample do the buyers need in order to insure that they are 98 % confident that the margin of error is within 3%
Using the z-distribution, as we are working with a proportion, it is found that the buyers need a sample of 1505.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In this problem, we have a 98% confidence level, hence\(\alpha = 0.98\), z is the value of Z that has a p-value of \(\frac{1+0.98}{2} = 0.99\), so the critical value is z = 2.327.
There is no estimate of the percentage, hence \(\pi = 0.5\), and the margin of error is of M = 0.03, hence we solve for n to find the desired sample size.
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.03 = 2.327\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.03\sqrt{n} = 2.327(0.5)\)
\(\sqrt{n} = \frac{2.327(0.5)}{0.03}\)
\((\sqrt{n})^2 = \left(\frac{2.327(0.5)}{0.03}\right)^2\)
\(n = 1504.2\)
Rounding up, the buyers need a sample of 1505.
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A ___ is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.
A polynomial expression is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.
A polynomial expression is of the form:-
\(ax^{2}+bx+c\)
Here, it consists of variable x, constants a, b and c and operations + and *.
Hence, it is a polynomial expression.
This particular polynomial expression is a quadratic expression.
Other examples of polynomial expressions are :-
5x + 3, \(4x^{3}+3x^{2}}+2x+1\) ,2x + 3y = 4 and so on.
A general polynomial expression can be written as:-
\(a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ......+ a_{1}x^{1}+a_{0}\)
It has (n + 1) terms, with variable x, (n + 1) constants and operations + and *.
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.
How many point-slope equations can you write to represent a single line?
an infinite number of equations
5 equations
2 equations
1 equation
Only (d) 1 equation can you write to represent a single line using a point-slope equations
How to determine the number of equations?From the question, we have the following parameters that can be used in our computation:
Equation = Linear equation
A linear equation can only be represented with one equation
When it is represented with multiple equations, the equations are equivalent equations
This means that the equations can be converted to one another
Hence, the solution is (d) 1 equation
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Please helppppppppppppp
Answer:
i know that the second one part b matches to the last option
Step-by-step explanation:
translate: 6 less than twice a number
Answer:
2x-6
Step-by-step explanation:
twice a number is
\(2\times x\\\\=2x\)
6 less than twice a number is
6 less than 2x and that is
\(2x-6\)
In 2012, gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. Suppose that random samples of 100 respondents were selected from both vermont and hawaii. From the survey, vermont had 65. 3% who said yes and hawaii had 62. 2% who said yes. What is the value of the sample proportion of people from vermont who exercised for at least 30 minutes a day 3 days a week?.
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.
It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.
To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:
1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65
This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.
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The image of J ( -2, 9 ) after being translated along < -5 , -3 > is J
A ( 7 , -6 )
B ( 7, 12 )
C ( -3 ,-6 )
D ( -7 , 6 )
Answer:
D
Step-by-step explanation:
A translation along - 5 means subtracting 5 from the x- coordinate
A translation of - 3 means subtracting 3 from the y- coordinate , so
J (- 2, 9 ) → J' (- 2 - 5, 9 - 3 ) → J' (- 7, 6 ) → D
The coordinates of the image of J ( -2, 9 ) after the translation will be equal to J' (- 7, 6 ).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
The given coordinate of the point is; J ( -2, 9 )
A translation along negative 5 means subtracting 5 from the x- coordinate
A translation of negative 3 means subtracting 3 from the y- coordinate, so
So the translation will be calculated as;
J (- 2, 9 )
J' (- 2 - 5, 9 - 3 )
J' (- 7, 6 )
Hence, the coordinates of the image of J ( -2, 9 ) after the translation will be equal to J' (- 7, 6 ).
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What is degree of freedom with example?
Degree of freedom (df) refers to the number of values in a dataset that are free to vary or independent observations.
How to explain the degree of freedomIn statistics, it is used to determine the number of observations needed to calculate a particular statistic.
The formula is
df = n - 1
For example, consider a sample of 10 observations from a population.
The variance of this sample can be calculated by summing the squared difference of each observation from the sample mean, and dividing by 9 (10-1=9) .
In this case, the degree of freedom is 9, because we have 9 independent observations that are free to vary in order to calculate the variance.
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The probability of an event happening is 5/9 . What are the odds in favor of the event happening?
The odds in favor of the event happening are 5 to 4.
We have,
To find the odds in favor of an event happening, we use the formula:
Odds in favor = Probability of the event happening / Probability of the event not happening
In this case,
The probability of the event happening is 5/9.
The probability of the event not happening is 1 - 5/9, which simplifies to 4/9. So the odds in favor of the event happening are:
Odds in favor
= 5/9 / 4/9
= 5/4
Therefore,
The odds in favor of the event happening are 5 to 4.
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Given f(2) = 1093 (92) and g(2) = 30 . Find and simplify (fog) (2)
Refer to image
Given \( f(x)=\log _{3}(9 x) \) and \( g(x)=3^{x} \). Find and simplify \( (f o g)(x) \) \( 2 x \) \( 27^{x} \) \( 2+x \) None of these.
The simplified expression for (f ∘ g)(x) is 2 + x (option d).
To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.
Given:
f(x) = log₃(9x)
g(x) = \(3^x\)
Substituting g(x) into f(x):
(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)
Now, we simplify the expression:
log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)
Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:
log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x
Using the property logₓ\((x^a)\) = a * logₓ(x), we get:
log₃\((3^2)\) + x = 2 * log₃(3) + x
Since logₓ\((x^a)\) = a, where x is the base, we have:
2 * log₃(3) + x = 2 + x
Therefore, (f ∘ g)(x) simplifies to:
(f ∘ g)(x) = 2 + x
So, the correct answer is (d) 2 + x.
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Complete Question:
Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)
(a) 2x
(b) x
(c) \(27^x\)
(d) 2+x
(e) None of these.
which of the falling is a way in which water resources are consumed
One way in which water resources are consumed, given the options would be d. all of the above.
How is water consumed ?Water resources are consumed through various means, including drinking, industrial usage, and business operations. The availability and utilization of water play a pivotal role in multiple sectors.
Water serves as a fundamental resource for human and animal hydration, industrial processes, and diverse commercial activities. These sectors rely on water to fulfill their operational requirements, leading to the overall consumption of water resources.
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The full question is:
Which of the following is a way in which water resources are consumed? a. drinking b. industry c. business d. all of the above
I NEED HELP!!! RN ASAP!
Write each decrease as a percent.
Illustrate each answer with a
number line.
a) The price of a book decreased from
$15.00 to $12.00.
b) The number of students who take
the bus to school decreased from 200 to 150
We can calculate the percentages according to the amounts provided in the prompt, and then make a number line to illustrate each percentage as follows:
a) The price of the book decreased by 20%.
$15.00 $12.00
|-----------------|------->
100% 80%
b) The percentage decrease in the number of students who take the bus to school is 25%.
200 150
|-----------------|------->
100% 75%
How to calculate percentagesCalculating percentages involves finding a portion of a whole expressed as a fraction of 100. To calculate a percentage, divide the part by the whole and then multiply the result by 100.
For example, if 20 out of 100 students are absent, the percentage of absent students is:
(20/100) x 100 = 20%.
With that in mind, we can conclude that we have correctly answered this question.
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Bob buys a big bag of beans for $2. 37. Find x, the number of dollars he gave the cashier if he received $17. 63 in change
Bob gave the cashier $15.26 for the bag of beans.
To find the value of x, we need to subtract the cost of the beans from the total amount given to the cashier. The cost of the beans is $2.37, and the change received is $17.63.
Therefore, the value of x can be calculated as:
x = Total amount given to the cashier - Cost of the beans
x = $17.63 - $2.37
x = $15.26
A cashier is an employee who works in a retail or service industry, responsible for handling cash, credit card payments, and providing customer service. They are often the first and last point of contact for customers in a business. Cashiers use a cash register or computer system to record transactions, and must be able to accurately count money, make change, and reconcile the cash drawer at the end of their shift.
They also need to be proficient in using technology, such as scanners and card readers, to process transactions. In addition, cashiers must have good communication skills to interact with customers, answer questions, and resolve any issues. Other responsibilities may include stocking shelves, maintaining a clean and organized workspace, and ensuring that customers receive accurate pricing and promotional discounts.
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s 3)
3) Find the measure of 4A:
5x
130⁰
5x
Please help
The spin operators S=(Sx,Sy,Sz) for a spin- 21 particle can be represented by the matrices: Sx=2ℏ(0110),Sy=2ℏ(0i−i0),Sz=2ℏ(100−1). In this representation a spin- 21 particle is in the state x=21(1i) (i) Verify that χ is an eigenstate of Sy and determine the corresponding eigenvalue. (ii) A measurement is made of the z-component of the spin of a particle in state χ. What is the probability that the measurement will give the value −ℏ/2?
To verify if χ is an eigenstate of Sy, we need to calculate the result of Syχ. Syχ is given by;
Syχ= 2ℏ(0 i −i 0)2 1
(1 i)=2ℏ(0−1 i0)2 1
(1 i)=2ℏ(−i i)2 1
(1 i)=2ℏ(−i+1)2 1
(1 i)=2ℏ(−i+1)2 1
(1 i)= (−2ℏi+2ℏ)2 1
(1 i)= 2ℏ(1−i)2 1
(1 i)=2ℏ(1−i)(1 i)2 1
=2ℏ(1−i)2 1
= 2ℏ (1 − 2i) 2 1
Therefore, Syχ = 2ℏ (1 − 2i) 2 1
We know that for any eigenstate, Syχ = λχ Where λ is the corresponding eigenvalue.
From the above calculation, we can say that 2ℏ (1 − 2i) 2 1is an eigenvalue of Sy. The corresponding eigenvalue can be found by equating the two.
2ℏ (1 − 2i) 2 1= λ 2 1λ = 2ℏ (1 − 2i)
Therefore, the eigenvalue of the given state is λ = 2ℏ (1 − 2i).
(ii) We know that the probability of a spin-1/2 particle being measured to have spin up or down along the z-axis, respectively, is given by |〈uᶻ | χ〉|2 and |〈dᶻ | χ〉|2. |〈uᶻ | χ〉
|2= |(1 0) (211i)T|2
= |1(21)+0(1i)|2
= |2/√5|2= 4/5
Therefore, the probability that the measurement will give the value −ℏ/2 is 4/5.
Therefore, the state χ is an eigenstate of Sy with an eigenvalue of 2ℏ (1 − 2i), and the probability of the measurement giving the value −ℏ/2 is 4/5.
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factor the trinomial below. x^2+13x+42
Answer:
(x + 6)(x + 7)
Step-by-step explanation:
To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.
One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:
1, 42 -> 1 + 42 = 43
2, 21 -> 2 + 21 = 23
3, 14 -> 3 + 14 = 17
6, 7 -> 6 + 7 = 13
So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:
x^2 + 13x + 42 = x^2 + 6x + 7x + 42
Next, we can group the first two terms and the last two terms:
x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)
Now, we can factor out the greatest common factor from each group:
x(x + 6) + 7(x + 6)
Notice that we have a common factor of (x + 6) in both terms. We can factor this out:
(x + 6)(x + 7)
y = 5x, what is the domain of this function?
Answer: The domain would be all real numbers.
Step-by-step explanation:
This is not a piecewise function, so it means that the domain, which means all possible x values, is all real numbers, not imaginary.
When x³-2x^2-15x is factored completely, which expression is one of the factors?
A. X-5
B. x + 5
C. x2 – 5x
D. x2-2x-15
When x³-2x^2-15x is factored completely, one of the factors is x-5.
To factor the expression, we can use the method of grouping. We can rewrite the expression as follows:
x³-2x^2-15x = (x³-2x^2) - 15x
We can then factor the first two terms using the difference of squares:
x³-2x^2-15x = (x-2)(x^2+2x) - 15x
We can then factor the last term using the difference of squares:
x³-2x^2-15x = (x-2)(x^2+2x) - (5)(3x)
Then, we can combine the two factors to get the final answer:
x³-2x^2-15x = (x-5)(x^2+2x-3x)
The final factorization is:
x³-2x^2-15x = (x-5)(x^2-x)
So, the correct answer is (A) x-5.
adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost a total of $228. Write and solve a system of equations to find how many adults and children were in the group.
⚠️Plz help!⚠️
At 8:00 AM, the temperature was −6°F. By noon, the temperature had risen by 9°F. What was the temperature at noon?
Answer:
3 degrees.
Step-by-step explanation:
-6 + 9 is 3, giving you were answer.
Answer: 3 degrees F
Step-by-step explanation:
-6+9=3
rise=positive or +
For questions 3 and 4, you will be answering by filling in the blank. Please be aware that your answer must include
any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For
example, if the answer is $1,860.78, then you will enter into the blank 1,860.78. Do not place any extra spaces
between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves
money-$986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as
5,698.90.
3. You (or your parents) are paid $13.75/hr and your deductions are FICA (7.65%), federal tax
withholding (10%), and state tax withholding (7.5%). Your (or your parents') rent is
$875.00/month. How many hours must be worked to pay the rent each month? Round up to the
nearest whole number to make sure you have earned enough money to pay the rent.
Answer is: 85 hours
4. Your rent is $750.00/month. What should your minimum realized income be??????
3. With the income tax rates, the number of hours that must be worked to pay the rent each month is 85 hours.
4. The minimum realized income value is obtained as $1002.09 per month.
What is income tax?
A tax levied against people or organizations (taxpayers) in relation to their income or profits is known as an income tax. (commonly called taxable income). Tax rates multiplied by taxable income are typically used to calculate income taxes. Tax rates might change depending on the taxpayer's attributes and source of income.
To determine how many hours must be worked to pay the monthly rent of $875, we need to calculate the amount of net pay earned per hour after taxes and deductions.
The net pay earned per hour can be calculated as -
Net pay per hour = Hourly wage - (Hourly wage × Total tax rate)
where Total tax rate is the sum of all the tax deductions, i.e., FICA of 7.65%, federal tax withholding of 10%, and state tax withholding of 7.5%.
Total tax rate = 0.0765 + 0.1 + 0.075 = 0.2515
Net pay per hour = $13.75 - ($13.75 × 0.2515) = $10.26 (rounded to two decimal places)
To find how many hours must be worked to pay the rent, we can divide the monthly rent by the net pay per hour -
Hours worked to pay rent = Monthly rent / Net pay per hour
Hours worked to pay rent = $875 / $10.26
Hours worked to pay rent = 85.14
So, it would take approximately 85.14 hours (rounded up to the nearest whole number) to earn enough money to pay the rent for the month.
Therefore, the answer is 85 hours.
Assuming the same tax deductions as in the previous question (FICA of 7.65%, federal tax withholding of 10%, and state tax withholding of 7.5%), we can find the minimum realized income needed to pay the rent by using the following formula -
Minimum realized income = Rent / (1 - Total tax rate)
where Total tax rate = FICA + federal tax withholding + state tax withholding.
Plugging in the given values, we get -
Total tax rate = 0.0765 + 0.1 + 0.075 = 0.2515
Minimum realized income = 750 / (1 - 0.2515) = 1002.09
Therefore, the minimum realized income needed to pay the rent is $1002.09 per month.
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Problem 6-29 A quality-control inspector is testing sample outputfrom a production process for widgets wherein 98% of the items aresatisfactory (S) and 2% are unsatisfactory (U). Three widgets arechosen randomly for inspection. The successive quality events maybe assumed independent.Find the probabilities for the following numbers of unsatisfactoryitems:(1) Pr(none)=(2) Pr(exactly 2)= (3) Pr(at least 1)= (4) Pr(exactly 1)= (5) Pr(exactly 3)= (6) Pr(at most 2)=
Answer:
(1) Pr(none)= .71
(2) Pr(exactly 2)= .0154
(3) Pr(at least 1)= .29
(4) Pr(exactly 1)= .271
(5) Pr(exactly 3)= .000275
(6) Pr(at most 2)= .99
Bolded answers might be wrong, I am a bit unsure on those ones
−x+9y=
\,\,-19
−19
3x-3y=
3x−3y=
\,\,9
9
Answer:
9!
Step-by-step explanation: