Tony makes an hourly salary of 15.40 for 40 Regular hours of work. For any time work beyond 40 hours, he is paid at a rate of time and a half per hour. Last week, Tony worked 46 hours. Find each of the following for this period.
Answers
Part (1):
We know that:For the first 40 hours, Tony is paid $11.5 per hour For additional hours,Tony is paid 1.5 * 11.5 = $17.25 for each hourLast week he worked 46 hours.Therefore:he got the normal payment of $11.5 for the first 40 hourshe got the special payment of $17.25 for the extra 6 hoursThis means that:Total amount he gained = 40(11.5) + 6(17.25) = $563.5This means that, before removing any taxes or insurances, Tony had a payment of $563.5
Part (2):
We are given that the social security tax is 6.2% of the amount he gained.
Therefore:
social security tax = 6.2% * 563.5
social security tax = 0.062 * 563.5
social security tax = $34.937
Part (3):
We are given that the medicare tax is 1.45% of the amount he gained.
Therefore:
medicare tax = 1.45% * 563.5
medicare tax = 0.0145 * 563.5
medicare tax = $8.17075
Part 4):
To get the amount that Tony has after all the taxes are paid, we will simply subtract the amount of taxes from what he originally gained as follows:final amount gained = 563.5 - (34.937+8.17075)final amount gained after taxes = $520.39225
Hope this helps :)
Tony's total earnings for the week are $754.60, which includes his regular pay for 40 hours at an hourly rate of $15.40 and overtime pay for 6 extra hours at a rate of time and a half.
Explanation:The subject of this question is Mathematics, specifically, it involves calculations relating to wage and overtime pay.
Calculating Regular and Overtime Pay
Tony earns an hourly wage of $15.40 for regular hours and is paid at a time and a half rate for any hours worked beyond 40 hours. Since he worked 46 hours last week, we can calculate his earnings as follows:
Calculate regular pay for 40 hours: 40 hours × $15.40 = $616.00.
Calculate the overtime pay rate: $15.40 × 1.5 = $23.10 per hour.
Calculate overtime pay for 6 hours: 6 hours × $23.10 = $138.60.
Add regular pay and overtime pay to get total earnings: $616.00 + $138.60 = $754.60.
Therefore, Tony's total earnings for the week, including overtime, are $754.60.
Related Questions
What is the sum or difference 6x^7+8x^7
Answers
You add the coefficients (numbers to the left of the variable terms) to get 6+8 = 14 which is the coefficient of the final answer. The x^7 stays the same. It's like saying "we have 6 apples added to 8 apples, so there are 14 apples overall". Replace "apples" with "x^7" and it's the same idea.
The sum of the expressions 6x^7 and 8x^7 is 14x^7. This follows the simple rule of addition with similar terms, where the coefficients are added together while the variable remains the same.
Explanation:The sum of 6x7 and 8x7 follows the usual rules of addition, it treats similar terms in a similar way to ordinary numbers. To combine these expressions, you simply add or subtract the coefficients (the number parts), while keeping the variables (the letter parts) the same. In this case, the variable is x7. Thus, adding the coefficients 6 and 8 gives you 14, and you keep the x7 the same. The sum is therefore 14x7.
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The function f(x) = 12x + 50 gives the amount of money a worker earns for working x hours per week. What is the inverse function?
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What is the y-intercept of the function f(x) = –2/9 + 1/5
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- 2/9 + 1/5 >> - 10/45 + 9/45 = - 1/45
Your y-int is - 1/45 or (0, - 1/45)
What is the sum os the interior angles of the polygon?
Answers
Henry can write 5 pages of his novel in 3 hours. at this rate, how many pages can henry write in 888 hours?
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I hope this helps!
5 pages p
------------- = ------------- Cross multiply. Solve for p.
3 hrs 888 hrs
A recipe for cake calls for 5.25 deciliters of milk. How many liters of milk are needed for the cake?
Answers
1 liter = 10 deciliters
therefore the amount of liters used in making the cake will be found as follows:
5.25/10×1=0.525 liters
Answer: 0.525 liters
"when the population standard deviation is unknown, sample size is less than 30, and the population has a normal or near-normal distribution"
Answers
A teacher asked her students to divide a large number by 50.
• Aslan divided the number by 50.
• Lucy divided the number by 5 and then divided the answer she got by 10.
• Jack divided the number by 10 and then divided the answer he got by 40.
Who among these got the correct answer assuming they did NOT make mistakes in division?
Answers
Answer:
c
Step-by-step explanation:
Aslan and Lucy got the correct answer of x/50, while Jack made a mistake in his calculation.
Explanation:To find out who got the correct answer, we need to evaluate the division calculations of each student. Let's assume the large number is 'x'.
Aslan divided the number by 50, so his answer is x/50.
Lucy divided the number by 5 and then divided the answer by 10, so her answer is (x/5)/10 = x/50.
Jack divided the number by 10 and then divided the answer by 40, so his answer is (x/10)/40 = x/400.
Therefore, both Aslan and Lucy got the correct answer of x/50, while Jack made a mistake in his calculation.
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ANYONE WHO KNOWS SURFACE AREA!!!
I need help urgently!
Answers
Need help to write equations for 5, 6 & 7
Answers
A quadratic function has the form
y = ax^2 + bx + c
Use point (3, 5) in the equation above:
5 = a(3^2) + 3b + c
5 = 9a + 3b + c
9a + 3b + c = 5 Equation 1
Use point (4, 3) in the equation above:
3 = a(4^2) + 4b + c
16a + 4b + c = 3 Equation 2
Use point (5, 3) in the equation above.
5 = a(5^2) + 5b + c
25a + 5b + c = 5 Equation 3.
Now solve the system of equations of equations 1, 2, and 3 to find the coefficients, a, b, and c.
9a + 3b + c = 5
16a + 4b + c = 3
25a + 5b + c = 5
Subtract the first equation from the second equation.
Subtract the second equation from the third equation.
You get
7a + b = -2
9a + b = 2
Subtract the first equation above from the second equation to get.
2a = 4
a = 2
Substitute:
7a + b = -2
7(2) + b = -2
b = -16
9a + 3b + c = 5
9(2) + 3(-16) + c = 5
18 - 48 + c = 5
c - 30 = 5
c = 35
The equation in standard form is
y = 2x^2 - 16x + 35
We can find it in vertex form:
y = 2(x^2 - 8x) + 35
y = 2(x^2 - 8x + 16) + 35 - 32
y = 2(x - 4)^2 + 3
Write the standard equation for a circle with center (−6, −8), that passes through (0, 0)
Answers
Here, (0-[-6])^2 + (0-[-8])^2 = r^2
Find r: 36 + 64 = 100, so r = 10
Then the desired equation is (x+6)^2 + (y+8)^2 = 10^2
what is the volume , in cubic units , of a pyramid of height 8 and a square base of length 15?
Answers
Multiply the binomial and find the coefficients
(X+y)^1=__×+__y
(×+y)^2=__x^2+__xy+__y^2
(X+y)^3=__×^3+__×^2y+__y^3
(×+y)^4=__×^4+__x^3y+__x^2y^2+__xy^3+__y4
Answers
For this case, rewriting each binomial we have:
(x + y) ^ 1 = 1x + 1y
(x + y) ^ 2 = 1x ^ 2 + 2xy + 1y ^ 2
(x + y) ^ 3 = 1x ^ 3 + 3x ^ 2y + 3xy ^ 2 + 1y ^ 3
(x + y) ^ 4 = 1x ^ 4 + 4x ^ 3y + 6x ^ 2y ^ 2 + 4xy ^ 3 + 1y4
the perimeter of this figure is 42.5 cm. Find the area of this figure.
Answers
let
AB=x
we know that
perimeter of the figure=10*x
perimeter=42.5 cm
so
42.5=10*x
x=42.5/10
x=4.25 cm
area of the figure=area of rectangle +area of square
area of rectangle=4.25*(4.25*3)----> 54.1875 cm²
area of square=4.25²----> 18.0625 cm²
area of the figure=54.1875+18.0625-----> 72.25 cm²
the answer is
72.25 cm²
Answer:
72.25
Step-by-step explanation:
I just took the test and got it correct
1/2g^2 + 7/2 + 3g^2- 4/5g + 1/4
Answers
1 / 2g ^ 2 + 7/2 + 3g ^ 2- 4 / 5g + 1/4
The first thing we must do is to group terms with the same degree:
g ^ 2 (1/2 + 3) - 4 / 5g + (7/2 + 1/4)
Then, rewriting we have:
(7/2) g ^ 2 - (4/5) g + (15/4)
Answer:
(7/2) g ^ 2 - (4/5) g + (15/4)
The expression [tex]1/2g^2 + 7/2 + 3g^2 - 4/5g + 1/4[/tex]5/4 by combining like terms, which include the [tex]g^2[/tex]s and the constants.
Explanation:The student's question involves combining like terms and simplifying a polynomial expression in mathematics. The expression provided is [tex]1/2g^2 + 7/2 + 3g^2 - 4/5g + 1/4.[/tex]ed to combine like terms, which involves adding or subtracting the coefficients of terms with the same degree.
First, combine the g2 terms (1/2g2 + 3g2) to get 7/2g2. Next, the constant terms (7/2 + 1/4) are combined to yield 15/4. The term with g, which is -4/5g, does not have a like term, so it remains as it is. After combining like terms, the simplified expression is 7/2g2 - 4/5g + 15/4.
If ΔGET≅ΔMAP, then what corresponding parts are congruent? segment TG and segment AM ∠T and ∠P segment MP and segment ET ∠E and ∠M
Answers
Answer:
2nd Option is correct that is ∠T and ∠P.
Step-by-step explanation:
We are given that ΔGET ≅ ΔMAP
We need to find Congruent part from the given options.
Since, we are given the figure of the congruent triangles with marking not any instruction with which vertex is congruent to which vertex.
So, The Given Name of the Congruent triangle.
We deduce that
G ↔ M
E ↔ A
T ↔ P
Using this we get following congruent parts,
GE ≅ MA , GT ≅ MP and ET ≅ AP
∠G ≅ ∠M , ∠E ≅ ∠A and ∠T ≅ ∠P.
Therefore, 2nd Option is correct that is ∠T and ∠P.
Answer:
∠T and ∠P
Step-by-step explanation:
For an angle Θ with the point (12, −5) on its terminating side, what is the value of cosine?
−5
12
negative 5 over 13
12 over 13
Answers
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13
Answer is option . D
You buy a new yoga ball. The ball has a diameter of 26 inches. What is the volume of the ball? Use 3.14 for pi. Round your answer to the nearest hundredth.
Answers
V = 4/3 x PI x r^3
we are told PI = 3.14
the diameter is 26 inches so r ( radius )= 26 / 2 = 13 inches
now we have V = 4/3 x 3.14 x 13^3
V = 9198.11 cubic inches
Answer:
The volume of the ball is [tex]9,198.11\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a sphere (yoga ball) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
In this problem we have
[tex]r=26/2=13\ in[/tex] -----> the radius is half the diameter
substitute
[tex]V=\frac{4}{3}(3.14)(13^{3})=9,198.11\ in^{3}[/tex]
PLEASE HELP!!!!!!!!!!!!!!!!! What is the simplified form of the expression k^3(k^7/5)^-5
A. k^4
B. 1/k^1/4
C. k^1/4
D. 1/k^4
Answers
= (k^3)(k^(7/5*-5))
= (k^3)(k^-7)
= k^(-7+3)
= k^-4
= 1/k^4
Which is choice D.
A jar contains 30 red marbles, 50 blue marbles, and 20 white marbles. you choose one marble from the jar at random. what is the theoretical probability of choosing a white marble?
Answers
P(white)= 20/100 =1/5
P(white)=1/5
Javier is comparing two checking accounts. One has a monthly fee of $10 and a per-check fee of $0.10, and the other has a monthly fee of $12 and a per-check fee of $0.05. What is the minimum number of checks Javier needs to write for the second bank to be a better option?
Answers
Javier needs to write 41 checks for the second bank to beat better
Answer:
41 is the answer for this question. Hope this helps.
Step-by-step explanation:
(apex)
PLEASE HELP AS SOON AS POSSIBLE!!!!!!!!!!!!!!!!!! |r+3| ≥7 solve the inequality (please show work and steps )
Answers
r + 3 ≥ 7
r ≥ 4
|r+3| = -(r+3) when r < -3 so for r < -3
-(r + 3) ≥ 7
r + 3 ≤ -7
r ≤ -10
The answer to this question is r ≤ -10, r ≥ 4
|r+3| = (r+3)
r + 3 ≥ 7
r ≥ 4
|r+3| = -(r+3)
-(r + 3) ≥ 7
r + 3 ≤ -7
r ≤ -10
So the answer is r ≤ -10, r ≥ 4
92.4 is 150% of what number?
Answers
2. We assume, that x is the value we are looking for.
3. If 92.4 is 100%, so we can write it down as 92.4=100%.
4. We know, that x is 150% of the output value, so we can write it down as x=150%.
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 150% of 92.4
92.4/x=100/150
(92.4/x)*x=(100/150)*x - we multiply both sides of the equation by x
92.4=0.666666666667*x - we divide both sides of the equation by (0.666666666667) to get x
92.4/0.666666666667=x
138.6=x
x=138.6
now we have:
150% of 92.4=138.6
Answer:
Number is 61.6
Step-by-step explanation:
Given : 92.4 is 150%.
To find : what number.
Solution : We have given 92.4 is 150%.
Let the number = x
According to question :
150% of x = 92.4
[tex]\frac{150}{100} *x[/tex] = 92.4
On multiplying both sides by 100
150 x = 92.4 * 100.
150 x = 9240
On dividing both sides by 150 .
x = [tex]\frac{9240}{150}[/tex].
x = 61. 6
Therefore, Number is 61.6
Write a formula for the sum of the first n terms in this series.
Answers
A) 4n² - 3n
Which number supports the given conjecture?
If a number is divisible by both 3 and 4, then the number is also divisible by 6.
A.
18
B.
42
C.
48
D.
64
Answers
48/3 = 16
48/4 = 12
48/6 = 8
A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for soccer or volleyball. Out of the total 80 people who liked soccer, 30 also liked volleyball. There were 45 people who liked volleyball.
Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points)
Like soccer
Do not like soccer
Total
Like volleyball
A
D
G
Do not like volleyball
B
E
H
Total
C
F
I
Part B: What percentage of the survey respondents did not like either soccer or volleyball? (3 points)
Part C: Do the survey results reveal a greater dislike for soccer or volleyball? Justify your answer. (2 points)
Answers
https://brainly.com/question/9914822
_____
A picture of your table would be most helpful.
HELPPPPPPPPPPPPP and explain
Answers
There are a number of ways you could do this. The most straight forward might be to simply multiply the second equation to get the answer.
Step One
Multiply the second equation by 2
2(2x^2 + 1/y^2 = 12) Remove the brackets.
4/x^2 + 2/y^2 = 12 * 2
4/x^2 + 2/y^2 = 24
Step Two
Add the new equation and the first original equation
1/x^2 - 2/y^2 = 1
4/x^2 + 2/y^2 = 24
5 / x^2 = 1 + 24
5/x ^2 = 25 Divide both sides by 5
1/x^2 = 5 Reciprocate the x^2 and the 5 (That means turn them upside down.
x^2 = 1/5
Take the square root of both sides.
x = +/- 1/sqrt(5) Rationalize the denominator.
[tex]{x = } \frac{1}{ \sqrt{5} } * \frac{ \sqrt{5} }{ \sqrt{5} }\\ \\{x = } \frac{ \sqrt{5} }{5} [/tex]
Step 3
Place this answer in for x^2 to get y^2. and then y
1/(1/5) - 2/y^2 = 1
Interlude
You can use your calculator to see what 1/(1/5) is. Change the 1/5 to 0.2
1/0.2 = 5 Just put it in as
1
÷
0.2
=
You should get 5
Continued
5 - 2 / y^2 = 1 Subtract 5 from both sides.
- 2/y^2 = 1 - 5
-2 / y^2 = - 4 Divide both sides by - 2
1 / y^2 = -4/-2
1 / y^2 = 2 Now reciprocate both sides.
y^2 = 1/2 Take the square root.
y = +/- 1/sqrt(2) And rationalize the denominator
y = +/- sqrt(2) / 2 Done the same way as for the x.
There's only 1 there. I'll let you find it.
Please explain “ write the equation of the perpendicular bisector of rs point r is located at (-1,3) and point s is located at (3,1) “
Answers
First, we'll need to find the midpoint of RS in order to bisect it. Using the midpoint formula, we can determine that the midpoint of RS is (1,2). Then, we'll need to find the slope of RS, then find the opposite reciprocal of the slope of RS to find the slope of our new line because perpendicular lines have opposite reciprocal slopes. The slope of our new line is 2. Next, we can plug our values into point-intercept form to find the equation.
WORK:
y - 2 = 2(x - 1)
y - 2 = 2x - 2
y = 2x
ANSWER:
D - y = 2x
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
In a certain population, 95% of the people have rh-positive blood. suppose that two people from this population get married. what is the probability that they are both rh-negative, thus making it inevitable that their children will be rh-negative? web assign answer
Answers
Therefore,
P(rh-negative) = 1-P(rh-positive) = 1-0.95 = 0.05
Then,
P(rh-negative) for both parents = 0.05*0.05 = 0.0025
Final answer:
The probability that both partners in a marriage are Rh-negative in a predominantly Rh-positive population is 0.25% or 1 in 400, critical for understanding the risk of hemolytic disease of the newborn in subsequent pregnancies.
Explanation:
The probability that both people in a marriage are Rh-negative in a population where 95% of the people are Rh-positive is calculated using the complement. Assuming that 5% of the population is Rh-negative, we would calculate the probability that both parents are Rh-negative by multiplying the individual probabilities:
P(both Rh-negative) = P(one Rh-negative) × P(other Rh-negative) = 0.05 × 0.05 = 0.0025
Therefore, the probability that both people are Rh-negative, and thus all of their children would also be Rh-negative, is 0.25% or 1 in 400.
Rh factor and blood type compatibility are crucial in reproduction and transfusion medicine. Understanding these concepts can help prevent complications such as hemolytic disease of the newborn, which occurs during second or subsequent pregnancies due to sensitization of the Rh-negative mother's immune system to Rh-positive fetal cells from a previous pregnancy.
Need help on this question
Answers
Please, see the attached file.
Thanks.