Answer:
1) 5/8
\(\frac{5}{8} rad = 35.809\textdegree\) or (atau) \(\frac{5}{8} \pi rad = 112.5\textdegree\)
2) a. 75° b. 132°
\(75\textdegree = 1.308\) \(rad\) or (atau) \(75\textdegree = 0.41\overline{6}\) \(\pi\) \(rad\)
\(132\textdegree = 2.303\) \(rad\) or (atau) \(132\textdegree = 0.7\overline{3}\) \(\pi\) \(rad\)
Required information [The following information applies to the questions displayed below.] Marathon Incorporated (a C corporation) reported $2,200,000 of taxable income in the current year. During the year, it distributed $220,000 as dividends to its shareholders as follows: - $11,000 to Guy, a 5 percent individual shareholder. - $33,000 to Little Rock Corporation, a 15 percent shareholder (C corporation). - $176,000 to other shareholders. (Leave no answer blank. Enter zero if applicable.) a. How much of the dividend payment did Marathon deduct in determining its taxable income? b. Assuming Guy's marginal ordinary tax rate is 37 percent, how much tax will he pay on the $11,000 dividend he received from Marathon Incorporated (including the net investment income tax)? c. What amount of tax will Little Rock Corporation pay on the $33,000 dividend it received from Marathon Incorporated (50 percent dividends-received deduction)? (Round your final answers to the nearest whole dollar amounts.)
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b) Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.
b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.
c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.
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Explain how to identify a starting position on a line.
Answer:
it depends on the type of line but for a straight line the starting point is always the edge that is A
What is 681.7 x ten to the power of 4
Answer:
6817000
Step-by-step explanation:
Answer:
i believe the answer is 6817000
Step-by-step explanation:
hope it helps i forgot how to do step
mark me brainliest pls!!!!
my cousin when in Vietnam was a personal banker for his Army buddies ... if they needed money mid-month he would give them $20 if you agreed to pay him $40 at month end on payday ... although he did not disclose his borrowing rate, what was the cost of money (APR) for his buddies who needed immediate gratification
The personal banker given lending arrangement, the APR for your cousin's buddies who borrowed $20 and repaid $40 at the end of the month would be 120%
The annual percentage rate (APR) for your cousin's lending arrangement, to make a few assumptions. That each lending transaction occurs on the first day of the month and is repaid on the last day of the same month. Based on these assumptions, calculate the effective APR as follows:
Calculate the interest charged for a $20 loan over one month:
Interest = $40 (repaid amount) - $20 (loaned amount) = $20
Divide the interest by the loan amount and multiply by 100 to get the monthly interest rate:
Monthly Interest Rate = (Interest / Loan Amount) ×100 = ($20 / $20) ×100 = 100%
Multiply the monthly interest rate by 12 to obtain the annual interest rate:
APR = Monthly Interest Rate ×12 = 100% ×12 = 120%
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2/3-1/2
Pls helpppppppppppp
Answer: 1/6
Step-by-step explanation:
An easy way for me to find a common denominator is to multiply both denominators: 3 times 2 and then subtract 2-1.
1/6
What scale factor takes hexagon J to hexagon K?
Answer:
Step-by-step explanation:
boody boody
b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)
(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.
To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.
If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).
If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.
Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).
(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.
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Complete question:
The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.
(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).
c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)
oka okay i need help
Answer:
x=120, y=70
Step-by-step explanation:
X must be 120 degrees as it is on a parallel line.
The outer+interior angles of a triangle on a straight line must be supplementary, so the second angle of the triangle is 180-120=60.
All interior angles of a triangle add up to 180 degrees: 50+60+y=180
y+110=180
y=70
The Bureau of Labor and Statistics (2018) reports that the average earner with a high school diploma will earn about $35,000 per year, an earner with a bachelor's degree will earn about $59,000 per year. The average salary of the high school graduate is what percent of the college graduate?
Answer:
59.322% or 59%
Step-by-step explanation:
devide 59,000 from 35,000 to get the answer.
After that, you will get 59% (rounded).
the answer is D (59.3%)
i jus got done takin the math quiz on knowledgematters
A regular polygon has an interior angle of 172°. Find the exterior angle and work out how many sides it has.
Answer:
Hi my dream princess
A regular polygon with an interior angle of 172° has the following characteristics:
Exterior angle: 360° / number of sides - interior angle.
Number of sides: 360° / exterior angle.
Using this information, we can find the exterior angle and the number of sides:
Exterior angle: 360° / number of sides - 172°.
Number of sides: 360° / (360° / number of sides - 172°).
Solving for the number of sides, we have:
Number of sides: 360° / (360° / number of sides - 172°)
= 360° / (360° / number of sides) - 172° / (360° / number of sides)
= number of sides - 172° / (360° / number of sides)
= number of sides (1 - 172° / 360°)
= number of sides * 188° / 360°.
Since we have a fraction involving a fraction, we can simplify:
Number of sides = number of sides * 188° / 360°
= number of sides * 47° / 90°
= number of sides * 47 / 90.
Since 47 and 90 are both divisible by 47, we can simplify further:
Number of sides = number of sides * 47 / 90
= number of sides * 1 / 2.
Therefore, the regular polygon has 2 sides and each exterior angle is 180°. The polygon is an isosceles triangle.
2. The hamster, x, walked 20 feet. The guinea pig walked 1/4 less than that. The guinea
pig walked
feet
You question is a little unclear but I'm going to assume you meant how much the guinea pig walked.
The hamster walked 20 feet, and the guinea pig walked 1/4 less. So you find 1/4 of 20, which is 5. Then, you subtract 20 and 5: 20-5 = 15. So the guinea pig walked 15 feet.
FINDDDD VALUE OF Z !!!!!
I can help you did you ask Siri?
Just take a picture on Siri the would lead you to the answer.
Step-by-step explanation:
I hope that helps please give me Brainliest
home plate at a baseball field is in the shape of a pentagon. three of the interior angles are right angles, the other two angles have equal measures. what are the measures of the interior angles of home plate
Three right angles are 270, the rest of two angle are 135 degree for each.
What is right angle triangle explain?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, known as the hypotenuse, is the third side.it is not a diamond shape. it is five angles, five sides.
sum of 5 angles is 540
three right angles are 270, the rest of two angle are 135 degree for each.
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Find the radius of convergence, R, of the series.
[infinity] 3(−1)nnxn
sum.gif
n = 1
R =
Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)
I =
The series is given by the expression ∑[infinity] 3(−1)nnxn, n = 1. The task is to find the radius of convergence, R, and the interval of convergence, I, for the series.
To find the radius of convergence, we can use the ratio test. Let's apply the ratio test to the series:
lim(n→∞) \(|\frac{(3(-1)^{(n+1)} * (n+1) * x^{(n+1)}}{ (3(-1)^n * n * x^n)} |\)
Simplifying the expression, we get:
lim(n→∞) \(|\frac{(3(-1)^{(n+1)} * (n+1) * x^{(n+1)}}{ (3(-1)^n * n * x^n)} |\)
= lim(n→∞) |(3 * (n+1) * x) / (n * x)|
= lim(n→∞) |3 * (n+1) / n|
= 3.
For the series to converge, the ratio should be less than 1. Therefore, |3| < 1, which is not true. Hence, the series diverges for all values of x. Consequently, the radius of convergence, R, is 0.
Since the series diverges for all x, the interval of convergence, I, is empty, represented by the notation I = {}.
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can someone help me with the amount of space occupied by two dimencion figure
The area of this rectangular figure is equal to 71.3 square centimeters.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation (formula):
A = LB
Where:
A represent the area of a rectangle.B represent the breadth of a rectangle.L represent the length or height of a rectangle.By substituting the given dimensions into the formula for the area of a rectangle, we have the following;
Area of rectangle = 6.2 cm × 11.5 cm
Area of rectangle = 71.3 square centimeters.
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Complete Question:
Find the area of the rectangular figure shown above.
find the equation of the line tangent to f(x)=−2sin(x) at x=34π.
the equation of the line tangent to f(x) = -2sin(x) at x = 34π is y = -2x + 68π + 2sin(34π).
To find the equation of the line tangent to the function f(x) = -2sin(x) at x = 34π, we need to find the slope of the tangent line at that point, and then use the point-slope form of the equation of a line.
The slope of the tangent line is equal to the derivative of the function at x = 34π. We can find the derivative of f(x) using the chain rule:
f'(x) = -2cos(x)
Therefore, f'(34π) = -2cos(34π) = -2.
This means that the slope of the tangent line is -2 at x = 34π.
To find the equation of the tangent line, we also need a point on the line. Since the tangent line passes through the point (34π, f(34π)), we can use this point as the point-slope form of the equation of the line:
y - f(34π) = m(x - 34π)
Substituting the values we have found, we get:
y - (-2sin(34π)) = -2(x - 34π)
Simplifying, we get:
y = -2x + 68π + 2sin(34π)
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I need help someone help asap please I'm late I have been needing help thanks in advance and I appreciate it
Answer: I believe it would be tan(-5pi/6)
Step-by-step explanation:
Since tan is he length of the side opposite the angle divided by the length of the adjacent side.
A small business owner contributes $2,000 at the end of each quarter to a retirement account that earns 10% compounded quarterly. (a) How long will it be until the account is worth at least $150,000? (Round your answer UP to the nearest quarter.) 43 quarters (b) Suppose when the account reaches $150,000, the business owner increases the contributions to $4,000 at the end of each quarter. What will the total value of the account be after 15 more years? (Round your answer to the nearest dollar.) $
After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.
To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.
Using the given information, we can plug in the values and solve for FV:
PV = $150,000
Pmt = $4,000
r = 10%
n = 4 (since interest is compounded quarterly)
t = 15 years
First, we need to calculate the future value of the current investment of $150,000:
FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24
Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:
FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23
Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:
Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47
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Solve for x.
x - 10 = 6 + 5x
x = [?]
hello
the answer to the question is:
x - 10 = 6 + 5x ----> x - 5x = 6 + 10 ----> - 4x = 16
----> x = - 4
A manafacturing plant earned $80 per a man hour of labor when it opened. Each year, the plant earns an addition 6% per man hour. WhIch expression hives the amount the plant earned per a man hour of labor 3 yeard after it opened
Answer: $94.40
The plant earned $94.40 per man hour of labor three years after it opened.
Given the function f(x) = –0.5|2x + 2| + 1, for what values of x is f(x) = 6?
Answer:
-6
Step-by-step explanation:
(7v - 9) - (6v + 9) plz help me
Answer:
v - 18 i THINK
Step-by-step explanation:
What is an equation of the line that passes through the points (-5, -1) and (5, 3)?
PLEASE HELP!!!!!!!!!!!!!!!
Answer:
27.6%
Step-by-step explanation:
See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%. (8/29)*(100%) = 27.6% to the nearest tenth.
There are eight 4th grader class going on a field trip there are 20 students in each class and 22 adults who plan to go each bus will carry 48 people how many buses are needed
Answer:
Hard
Step-by-step explanation:
I don't know sorry
Answer:
8x20+22
160+22
182.
48x4= 192 (closest to 182) since you can’t have a remainder of kids.
(I’m in 6th grade so I hope I helped and didn’t get it wrong)
So the answer is 4 or 5 busses.
Let x represent the number of laptops. Let y represent the number of smartphones.
Sully earns $80 by selling a laptop and $60 by selling a smartphone. He wants to make a profit of at least $6,800. Write an inequality to model the amount Sully earns by selling laptops and smartphones
Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.
What is inequality?Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<
Here,
Let the quantity of sold laptops, x
y —- the quantity of sold smartphones
The fact that to solve this problem we use inequality help
The problem's underlying inequity is equal to
=> 80x + 60y ≥6800
Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.
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Please prove the following two problems.
Let f : R S be a homomorphism of rings. I and ideal of R, and J an ideal of S.
(a) f-1(J) is an ideal in R that contains the kernel of f.
(b) If f is an epimorphism them f(I) is an ideal in S. If f is not surjective, f(I) need not be an ideal in S.
a) To prove this, it needs to satisfies the Closure under addition, Closure under multiplication by elements of R and Contains the kernel of f properties. b) To prove this, it needs to satisfies the Closure under addition, Closure under multiplication by elements of S and Contains 0.
(a) Proof that \(f^{-1}\) (J) is an ideal in R containing the kernel of f:
To show that \(f^{-1}\) (J) is an ideal in R, we need to demonstrate that it satisfies the following properties:
Closure under addition,
Let a, b be elements in \(f^{-1}\) (J) and let r be any element in R. We have f(a), f(b) in J since J is an ideal of S. Since f is a homomorphism of rings, f(a + b) = f(a) + f(b) is in J. Therefore, a + b is in \(f^{-1}\) (J), showing closure under addition.
Closure under multiplication by elements of R,
Let a be an element in \(f^{-1}\) (J) and let r be any element in R. We have f(a) in J since J is an ideal of S. Since f is a homomorphism of rings, f(ra) = rf(a) is in J. Therefore, ra is in \(f^{-1}\) (J), showing closure under multiplication by elements of R.
Contains the kernel of f,
Let x be an element in the kernel of f, i.e., f(x) = 0 in S. Since J is an ideal of S, 0 is in J. Therefore, x is in \(f^{-1}\) (J), showing that \(f^{-1}\) (J) contains the kernel of f.
Therefore, \(f^{-1}\) (J) is an ideal in R that contains the kernel of f.
(b) Proof that if f is an epimorphism, then f(I) is an ideal in S:
To show that f(I) is an ideal in S, we need to demonstrate that it satisfies the following properties:
Closure under addition,
Let a, b be elements in f(I), and let s be any element in S. Since f is surjective, there exist elements x, y in I such that f(x) = a and f(y) = b. Therefore, f(x + y) = f(x) + f(y) = a + b is in f(I), showing closure under addition.
Closure under multiplication by elements of S,
Let a be an element in f(I), and let s be any element in S. Since f is surjective, there exists an element x in I such that f(x) = a. Therefore, f(sx) = sf(x) = sa is in f(I), showing closure under multiplication by elements of S.
Contains 0,
Since f is a homomorphism of rings, f(0) = 0 in S. Therefore, 0 is in f(I).
Therefore, if f is an epimorphism, f(I) satisfies the properties of an ideal in S.
If f is not surjective, f(I) need not be an ideal in S. This is because in this case, there may exist elements in S that are not in the image of f, and therefore f(I) may not satisfy the closure properties required for an ideal.
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if 2/5 of the total number of students are boys and girls are 160 and find boys
Answer: 106 boys
Step-by-step explanation: first you need to find how much 1/5 of the girls is and you can do this by dividing 160 by 3 (because the girls are 3/5) which is: 160 ÷ 3 = 53.3 = 1/5
= 53.3 × 2( because the boys are 2/5)
= 106.6 (you don't need to round off but make it a whole).
/// help me pleadse help me
Therefore , the solution of the given problem of unitary method comes out to be total amount = 30 + 5t and $105.
A unitary method is precisely what?To finish a work using the unitary strategy, multiply the quantity with two after determining the size of a small slice. The unit variable technique, to put it simply, works to isolate a coded object from a specific group or sets of sets. For instance, 40 pens would cost 400 pounds (expression $1.01) = Rs. There is a chance that one nation will have complete control over the technique used to do this. Almost all living things have a unique trait..
Here,
Given :
The joshua guaranteed wage is $30 per day.
And tip for waiting on one table is $5.
To find the total amount made by joshua by waiting on 15 tables is :
=> Total wage = 30 + 15(5)
=> Total wage = 30 + 75
=> Total wage = $105
and if he wait on t table ,
Thus , total amount is :
=> Total amount = 30 + 5t
Therefore , the solution of the given problem of unitary method comes out to be total amount = 30 + 5t and $105.
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Which ordered pair is a solution to the equation?
-4x + 7 = 2y - 3
Choose 1 answer:
A Only (2, 1)
B Only (5, -5)
C Both (2, 1) and (5,-5)
D Neither
Answer: Neither (5/2, 0)
Step-by-step explanation:
-4x + 7 = 2y - 3
+3 +3
2y = -4x + 10
(Divide both sides by 2)
y = -2x +5
—————————————————
-4x + 7 = 2(-4x + 10) - 3
-4x + 7 = -8x + 20 - 3
-4x + 7 = -8x + 17
+8x -7 +8x -7
8x - 4x = 17 - 7
4x = 10
(Divide both sides by 4)
x = 5/2
—————————————
y = -2(5/2) + 5
y = -5 + 5
y = 0
——————————
Check Work:
-4x + 7 = 2y - 3
-4(5/2) + 7 = 2(0) -3
-10 + 7 = 0 - 3
-3 = -3 ✔️