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Ede4ka [16]
1 year ago
13

James earns $418 per week and has one exemption. His office’s payroll software is broken and can only compute the withholding fo

r zero exemptions. What weekly salary with 0 exemptions would give the closest exemption to what James should have?
Mathematics
1 answer:
user100 [1]1 year ago
7 0

James should earn a <em>weekly</em> salary of $ 432.76 with 0 exemptions to give the closest exemption.

<h3>How to estimate the salary without exemption</h3>

In this question, we should estimate the salary <em>earned</em> before one exemption and find the <em>equivalent brute</em> salary with no exemptions. The expected salary is equal to product the <em>brute</em> salary minus the product of the <em>tax</em> rate and <em>brute</em> salary.

According to the table we have the expected salary after one exemption:

x = 418\cdot \left(1-\frac{19.66}{100} \right)

x = 335.82

After a quick inspection to the <em>salary</em> column for zero exemptions, we find that percentage associated to a salary with no exemptions: (r = 22.40\,\%)

C = \frac{335.82}{1-\frac{22.40}{100} }

C = 432.76

James should earn a <em>weekly</em> salary of $ 432.76 with 0 exemptions to give the closest exemption. \blacksquare

<h3>Remark</h3>

The exemption table is missing. The complete figure is shown below.

To learn more on salaries, we kindly invite to check this verified question: brainly.com/question/3315407

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notsponge [240]
Speed of the boat = u
speed of the current = v

in downstream,
u - v = 105/5
u - v = 21

in upstream
u + v = 105/7
u + v = 15

add both equations
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u = 18

v = -3

so
speed of the boat = 18 km/h
speed of the current = 3 km/h
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2 years ago
Three freinds each have some ribbon. carol has 42 inches of ribbon, tino has 2.5 feet of ribbon, and baxter has 1.5 yards of rib
s344n2d4d5 [400]
Hi there! 3 feet = 1 yard, 12 inches = 1 foot and 36 inches = 1 yard. All we have to do is change them up into different units by doing a bit of multiplication, division, maybe mental math, and even proportions if you know how to do them. Regardless on what you do, if you do it correctly, here are what your answers should be for each unit.


Inches

Carol: 42 inches
Tino: 30 inches
Baxter: 54 inches

Feet:

Carol: 3.5 feet
Tino: 2.5 feet
Baxter: 4.5 feet

Yards:

Carol: 1 1/6 yards
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If a kid bought a fishing rod for $50 later he sold it for $32 what is the percentage decrease
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Alice is baking a cake. She doesn’t intend to eat it, but tells you half of what you find is yours. She tells the same thing to
tankabanditka [31]

Answer: a) P = 0.5, b) P = 0.07

Step-by-step explanation:

Hi!

Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.

a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.

It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.

b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:

P(B) = 0.5 - \frac{(0.5*55^2)}{3600} =0.07

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3 years ago
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