You have a summer job that pays double for working overtime. Overtime is determined as the
number of hours over 20 hours you work in ane week. Your regular pay is $5 per hour for the
first 20 hours you work in one week.
Write a piecewise function to represent the amount of your weekly paycheck p(h)
Answers
Answer:
Step-by-step explanation:
For 20 hours a week, I earn $15 per hour, and I earn $15,600 annually. As noted on my W-4 form, I can assert my exemptions. Every year the Internal Revenue Service declares allowances for exemptions. A single person's current allowance for one exception is $3,950. I may assert another exemption for a partner of $ 3,950. At $3,950 each, I can also assert exemptions for any dependents. Suppose my contribution is 10 percent to a 401(k) retirement plan: $15,600-$1,560 = 14,040 dollars I am single, so on my W-4 form, I claimed one exemption which I submitted to my employer: 14,040-3,950 dollars = 10,090 dollars My gross revenue (minus exemptions and deductions) is therefore $ 10,090. Currently based on $10,090, I can measure the federal income tax, social security, and other withholdings My employer withholds federal tax, tax on social security, and tax on Medicare cash. For 2015, the federal income tax brackets are as follows: Tax Rate Taxable Income Levels 10% $0–$9,225 15% $9,226–$37,450 25% $37,451–$90,750 28% $90,751–$189,300 33% $189,301–$411,500 35% $411,501–$413,200 39.60% Above $413,200 The tax bracket for my income is 15 percent. However, I am not taxed 15 percent on the entire amount. I will be taxed 10 percent for the first $9,225 dollars earned. Then, I will be taxed 15 percent on the remaining amount: 10 percent of 9,225 = $922.50 15 percent of ($10,090 – $9,225) = $129.75 Total income tax = $1,522.25 Thus, my income minus federal tax ($10,090 – $1,522.25) is $9,037.75. The Social Security tax is 6.2 percent, and the Medicare tax is 1.45 percent. These taxes are calculated based on my gross income: 6.2 percent of $15,600 = $967.20 1.45 percent of $15,600 = $226.20 Thus, my net pay will be: $9,037.75 – (967.20 + 226.20) = $7,844.35.
Related Questions
Show that KLPQ is a parallelogram for m= 14 and n= 12.5. Make sure you identify which condition proves this polygon is a parallelogram
Answers
For a shape to be a parallelogram, the opposite interior angles must be equal and the adjacent interior angles must sum to 180 degrees. That being said, angle L and angle Q must be equal and angle P + angle Q = 180 degrees.
Given the following data:
m = 14 and n = 12.5
Angle L = 5m + 36 = 5(14) + 36 = 106
Angle Q = 4m + 50 = 4(14) + 50 = 106
Angle P = 6n - 1 = 6(12.5) - 1 = 74
Angle K = 360 - 106 - 106 - 74 = 74
From the given data above, we can see that the opposite interior angles Angle L and Angle Q are congruent with an angle of 106 degrees. In addition, we can also see that angle Q and Angle P are supplementary angles because 106 and 74 when added is equal to 180 degrees. Since the sum of the interior angles of a quadrilateral is 360 degrees, we can solve Angle K by subtracting 106, 106, and 74 from 360. Therefore, angle K is equal to 74 degrees. Since the other opposite interior angles, Angle P and Angle K, are also congruent to each other, then, we can say that KLPQ is a parallelogram.
The condition that proves it is "Opposite interior angles of a parallelogram are equal to each other."
Angle L is congruent to angle Q.
Angle P is congruent to Angle K.
Each of the 9 reindeer have 8 jingle bells on their collar. There are 12 more bells on the reins. How many bells in all?
Answers
Answer: 84 bells
Step-by-step explanation:
12 + 9x8
84
What was the full commission rate if Sarah was paid $3,152.50 on the sale of a $97,000 property? Sarah's agreement with her broker is half of the full commission.
Answers
Answer:
6.5 %
Step-by-step explanation:
Full commission would then be 2 * 3152.50 = 6305
Full commission percentage of sale is then:
6305 / 97000 * 100 % = 6.5 %
7. A floor is covered by 800 tiles measuring 10 squared cm. How many square tiles of side 8 cm would be needed to cover the same floor?
Answers
Answer:
1000 tiles
Step-by-step explanation:
Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.
help with horizontal asymptotes
Answers
Answer:
y = 3. last option is correct answer for 2nd question.
Step-by-step explanation:
f(x) just means y.
horizontal asymptote is y = 'something.'
the graph crosses y = 4, so y = 4 cannot be asymptote.
y = 3 is since the graph never quite touches it.
as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.
so the last option is the correct answer.
20 POINTS FOR ANSWERING ALL PARTS
Answers
Answer:
wont let me download
Step-by-step explanation:
divide the polynomials x^2-10,000/x-100
Answers
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
(2h³j^-3 k⁴)/3jk
Just look at pic
Answers
30 POINTS please help if you can.
Answers
Answer:
m∠G = m∠H = 50
m∠I = 80
Step-by-step explanation:
m∠H = m∠G {Isosceles triangle property}
5x - 5 = 3x + 17 {Subtract 3x from both sides}
5x - 3x - 5 = 17 {Combine like terms}
2x - 5 = 17 {Add 5 to both sides}
2x = 17 + 5
2x = 22
x = 22/2
x = 11
m∠H = 5x - 5
= 5*11 - 5
= 55 - 5
m∠H = 50
m∠G = m∠H = 50
m∠G + m∠H + m∠I = 180 {Angle sum property}
50 + 50 + m∠I = 180
100 + m∠I = 180
m∠I = 180 - 100
m∠I = 80
Answer:
m∠G = m∠H = 50
m∠I = 80
Step-by-step explanation:
How many 3-digit natural numbers are there?
Answers
Answer:
900
Step-by-step explanation:
natural numbers are all positive numbers that dont include 0
8n - 2n =12 help ASAP
Answers
subtract the n’s: 8n-2n= 6n
then divide both sides by 6: 6n/6= 12/6
the 6 with the n and the six that’s in the denominator cancel out then divide 12 by six so: n= 2
Step-by-step explanation:
Answer n=2
add 8n and -2n which is 6n and then divide 6n by 6 and 12 by 6 and you get n=2
URGENT WILL GIVE BRAINLIEST——-Which of the following functions is quadratic?
Answers
Answer:
D
Step-by-step explanation:
The answer to this question
Answers
4. Explain how you would create and use a spinner to simulate the probability of an event
with the following probabilities:
Percent chance: 20% green, 1/4 blue,2/5 yellow, and 15% orange
Answers
To get the given probabilities of the event we can use a spinner with 20 green, 25 blue, 40 yellow, and 15 orange parts.
What is probability?Probability is a way to gauge how likely or unlikely something is to happen. A number between 0 and 1, where 0 denotes an improbable event and 1 denotes a certain event, is used to convey it. The likelihood of an occurrence may be determined by dividing the positive outcomes by the entire number of possible outcomes. For instance, the likelihood of receiving heads on a fair coin flip is 50% since there is only one positive event (heads) out of two possible possibilities (heads or tails). The general probability calculation formula is:
Number of likely outcomes divided by the total number of possible outcomes is how you calculate an event's probability.
To get the given probabilities of the event we can use a spinner with 20 green, 25 blue, 40 yellow, and 15 orange parts.
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Maya deposited $817 in a savings account earning 2% interest, compounded annually.To the nearest cent, how much will she have in 2 years?
Answers
We have the next formula
\(A=P\mleft(1+\frac{r}{n}\mright)^{nt}\)A is the amount
P is the principal
r is the rate
t is the time
n is number of periods
In our case
P=817
r=2%
t=2 years
n=1
We substitute the values
\(A=817(1+\frac{0.02}{1})^{1(2)}=$850.01$\)Amount: $850.01
Interest: $33.01
Find the surface area of the regular pyramid.
Answers
The surface area of the regular pyramid as given in the task content is; 16m².
What is the surface are of the regular pyramid?The task content requires that the surface area of the pyramid be determined. This surface area can therefore be evaluated as follows;
Surface area = (2×2) + 4((1/2)×2×3) = 4 + 12 = 16m².
The surface area of the regular pyramid is therefore; 16m².
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A researcher wants to know if calcium is an effective treatment for lowering blood pressure. He assigns one randomly chosen group of volunteers to take calcium supplements; the other group will get placebo. At the end of the treatment period, he measures the difference in blood pressure. The 50 members of the calcium group had blood pressure lowered by an average of 25 points with a standard deviation of 10 points. The 50 members of the placebo group had blood pressure lowered by an average of 15 points with a standard deviation of 8 points. To analyze this information we will use a
Answers
Answer:
Two sample t procedure
Step-by-step explanation:
The two sample t test is used when want to test for equality between two population means. It tests whether the means of the two groups are equal or not equal.
We use this to analyse this information in this question because we do not have data available for the population standard deviation. Also we are to test for the significant difference between the two different groups of participants
Un coche tarda 12 minutos en dar la vuelta a un circuito si va a una velocidad de 80 km/h. Cuánto tiempo tardara en recorrer el mismo circuito si va a una velocidad de 100 km/h?
Answers
A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.
What theory directly contradicts concept of absolute zero?
All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).
Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.
Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.
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In a lab experiment, 260 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 26 hours. How long would it be, to
the nearest tenth of an hour, until there are 350 bacteria present?
Answers
It will take about 8.7 hours until there are 350 bacteria present using exponential growth.
What is exponential growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
The formula is as follows:
P = \(initial (rate)^x\)
Given that 260 bacteria are placed in a petri dish.
initial value = 260
growth factor = 2
growth factor's associated time period = 26 hours
Exponential growth equation can be written as
\(n = 260(2^(t/26))\)
For n=350, we can put the value and take log on both sides.
\(350=260(2^{(t/26)} )\)
\(1.3 = 2^{t/26}\)
log 1.3 = (t/26) log(2)
26×log(1.3)/log(2) = t
t ≈ 8.7 hours
Therefore, it will take about 8.7 hours until there are 350 bacteria present.
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Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answers
Answer: It will be A that is the best answers
How do you do this. I am stuck
Answers
write y+4=-2(x-1) in slope intercept form
Answers
Answer:
y=2x-6
Step-by-step explanation:
y+4=-2(x-1)
Since the slope intercept form is in the form of:
y=mx+c
Making above equation in this form.
y+4=-2(x-1)
opening bracket
y+4=2x-2
subtracting both side by 4.
y+4-4=2x-2-4
y=2x-6
This equation is the slope intercept form.
Solve 124m – 23=34 for m.
Question 5 options:
m = –12
m = 36
m = 34
m = 12
Answers
Answer:
\(124m - 23 = 34 \\ 124m = 34 + 23 \\ 124m = 57 \\ \frac{124m}{124} = \frac{57}{124} \\ m = 67\)
Answer:
m = 34
Step-by-step explanation:
Identify the polynomial that is the difference of two squares.
A. 25m2 − 16n
B. 49m2 − 81n4
C. 36m2 − 8n8
D. 9m2 − 5n6
Answers
Answer:
Option B, \(49m^2 - 81n^4\)
Step-by-step explanation:
Step 1: Determine the difference of two squares
According to online, "In mathematics, the difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2 = in elementary algebra." a^2 - b^2 gives us (a + b)(a - b)
The only one that would work is Option B so lets factor it out.
\(49m^2 - 81n^4\)
\((7m + 9n^2)(7m - 9n^2)\)
Answer: Option B, \(49m^2 - 81n^4\)
Use the power rule to rewrite the expression logk^3
Answers
Answer:
3logk
Step-by-step explanation:
logk^3
3logk
\(logk^{3}\) becomes \(3logk\) by the use of power rule.
What is the power rule?When display style r is a real number in calculus, the power rule is used to differentiate functions of the form \(f(x)=x^{r}\). Polynomials can also be differentiated using this technique because differentiation is a linear operation on the space of differentiable functions. The Taylor series is based on the power rule, which connects a power series to a function's derivatives.The formula of the power rule:\(\frac{d}{dx} x^{n} =nx^{n-1}\)Solution -
The given expression is \(logk^{3}\).
\(logk^{3}\)
⇒ \(3logk\)
Therefore, after rewriting the expression it is \(3logk\).
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What is an equation of the line that passes through the points (4, -2) and (-1, 3)?
Answers
Answer:
x+y-2=0
Step-by-step explanation:
here,
(4,-2)=(x1,y1)
(-1,3)=(X2,y2)
Now,by using two point formula,
y-y1=y2-y1/x2-x1(x-x1)
or,y+2=3+2/-1-4(x-4)
or,y+2=5/-5(x-4)
or,y+2=-1(x-4)
or,y+2=-x+4
or,x+y+2-4=0
or,x+y-2=0(which is req. eqn.)
The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.
Triangle X Y Z is shown. The length of side X Y is m + 8, the length of side Y Z is 2 m + 3, the length of side Z X is m minus 3.
Which is correct regarding the angles of the triangle?
mAngleX < mAngleZ < mAngleY
mAngleY < mAngleZ < mAngleX
mAngleY < mAngleX < mAngleZ
mAngleZ < mAngleY < mAngleX
Answers
Answer:
mAngleY < mAngleZ < mAngleX
Find the area of the parallelogram
Answers
Answer:
1191 cm²
Step-by-step explanation:
Area of parallelogram = base X vertical height.
Call the vertical line h.
h/ sin 80 = 7/ sin 10
h = (7 sin 80) / sin 10
= 39.7.
Area of parallelogram = 30 X 39.7
= 1191 cm²
The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.
Given:
Side length = 30 cm
Using Trigonometry
tan 80 = P / Base
5.6712 = P / 7
P = 39.6984 cm
Using the formula for Area of parallelogram
= Base x height
= 30 x 39.6984
= 1,190.952 square cm.
Therefore, the area is 1,190.952 square cm.
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the correct answer.
Which inequality represents the values of that ensure triangle ABC exists?
A
2x+4
B
O D.
18
OA.
<< 1
OB. -< < ¹
O c. 1 < x < 5
6x
2 < < 6
Answers
The inequality that represents the values of x is expressed as:
7/4 < x < 11/2.
What is the Triangle Inequality Theorem?According to the triangle inequality theorem, any two sides of a triangle, when added, must be greater than the length of the third side.
Therefore, applying the triangle inequality theorem, we have:
2x + 4 + 6x > 18
8x + 4 > 18
8x > 18 - 4
8x > 14
x > 14/8
x > 7/4 or 7/4 < x
Therefore, the possible value of x would be: 7/4 < x < 11/2
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Which which book did Khaptad swami written?
Answers
Step-by-step explanation:
The Science of Thought is the book