Raul Del Valle's gross weekly salary is S615. His weekly federal withholding is S55. The Social Security tax is
6,2% of the first $97.500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay.
Each week he pays $12.40 for medical insurance. How much is deducted from Raul's weekly wages for state tax
and Medicare tax?
Answer:
Step-by-step explanationjiuijkk8
u:
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)f(x) = 3 â 48x + 4x2, [5, 7]
Answer:
Step-by-step explanation:
The given equation is:
f(x) = 3 - 48x + 4x² [5,7]
where; f(x) is continous and derivable in [5,7]
f'(x) = -48x + 8x
f(5) = 3 - 48(5) + 4(5)² = -137
f(7) = 3 - 48(7) + 4(7)² = -137
Thus, it satisfies the hypotheses of Rolle's Theorem
f'(x) = f'(c) = 0
-48 + 8c = 0
c =48/8
c = 6
c) Parbati buys a mobile for Rs 6,300 and sells it to Laxmi at 15% profit. How much
does Laxmi pay for it?
Answer:
Rs. 7245
Step-by-step explanation:
Given parameters:
Cost price = Rs. 6300
Percentage profit = 15%
Unknown:
Selling price = ?
Solution:
If profit is made on a trade, the selling price is higher than the cost price.
Profit = Selling price - Cost price
To find the selling price simply;
Selling price =( 1 + [tex]\frac{15}{100}[/tex]) x cost price
Selling price = 1.15 x 6300 = Rs. 7245
Gina bought 4 bags of grapes that weighed 2.29 pounds each. The grapes were priced at $2.50 per pound. The expression below represents the total cost of the bags of grapes Gina bought, in dollars.
(2.29×2.50)×4
Which expression below is also equivalent to the total cost of the grapes?
( 2.29 + 4 ) × 2.50
4 × ( 2.50 + 2.29 )
( 2.29 × 4 ) + 2.50
2.29×(2.50×4)
Answer:
2.29 × (2.50 × 4) is equivalent.
Step-by-step explanation:
It doesn't matter what order multiplication happens in, it will result in the same answer!
Please help me with this
Answer:
$62.50
Step-by-step explanation: 250 divided by 4 equals $62.10
There are 40 students in a class.
Each student walks to school or cycles to school or gets the bus to school
There are 22 girls in the class.
9 of the girls walk to school.
7 of the boys cycle to school.
6 of the 10 students who get the bus to school are boys.
Find the number of these students who walk to school.
Step-by-step explanation:
Total no. of students = 40
Total no. of girls = 22
Total no. of boys = 40 - 22 = 18
No. of girls walking to school = 9
No. of girls who cycle to school = 22 - 9
No. of boys who cycle to school = 7
No. of students who take the bus = 10
(6 boys and 4 girls)
No. of boys who walk to school = 18 - (7 + 6) = 5
Total no. of students who walk to school = 9 + 5 = 14
The number of students who walked to school was 14 students
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The equations will be ,
Let the total number of students in the class be A = 40 students
The number of girls in the class = 22 students
The number of boys in class = total number of students - number of girls
= 40 - 22
= 18 students
Now ,
The number of girls who walked to school = 9 students
The number of boys who cycled to school = 7
So , remaining boys = 18 - 7
= 11 students
The number of boys who take bus to school = 6 students
So , remaining boys = 11 - 6
= 5 students
Therefore , the remaining boys in the class walks to school = 5 students
So , the equation will be
And , the total number of students who walked to school =
number of boys in the class that walks to school + number of girls who walked to school
Total number of students who walked to school = 9 + 5
= 14 students
Hence , The number of students who walked to school was 14 students
To learn more about equations click :
https://brainly.com/question/10413253
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Let a function y represent the water level in a harbor measured in meters, and let x represent the number of hours since high tide. At time x = 0, the water level is 19.5 meters (a maximum). At time x = 6.26 hours, the water level is 10.5 meters (a minimum). The period of the function is 12.5 hours.
After how many hours is the water expected to reach a depth of 17 meters for the first time? Round to the nearest tenth of an hour.
A 2.2 hours
B 6.3 hours
C 12.1 hours
D 12.5 hours
Answer:
A 2.2
Step-by-step explanation:
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels? Enter your answer in reduced form.
Answer: 1:6
Step-by-step explanation:
Reduce each side of the ratio
Answer:
For every 1 squirrel there are 6 acorns
Step-by-step explanation:
u just divide 18 by 3
What value of y makes the following equation true?
−12(−5y+4)=2+12y
Answer:
Solution
= 25/24
Step-by-step explanation:
hope that helps :)
(HELP 50 POINTS)
A beach lifeguard wants to create the largest triangular area he can with three lengths of rope to provide beach goers with maximum amount of space to play and swim in the water. Multiple buoys are attached to each rope in order to identify the designated swimming area. The first rope is 42 feet long, the second is 50 feet long, and then the third is 107 feet long. The lifeguard can only cut one of the ropes in order to create a triangle with the largest possible perimeter. How much rope, in feet, will be remaining after the lifeguard creates the designated swimming triangle? (Note: answer should be a whole number.)
Answer:
16
Step-by-step explanation:
I am doing Prepworks Basic triangles as well :D
can someone help me with this?
Answer:haha no
Step-by-step explanation:
I NEED HELP WITH B AND E
Find the area A of the polygon with the given vertices. A(−6, 1), B(4, 1), C(4,−8), D(−6,−8)
A= __ square units
u must use the formula
so, the answer is 10 units²
If triangle ABC is equilateral, and side AC is 7m long, how long is side BC?
Answer:
7m
Step-by-step explanation:
In an equilateral triangle all the sides and angles are the same
The length of the rectangle is 3ft less than twice the width,and the area of the rectangle is 27ft^2,find the diameter
Answer:
The dimensions of rectangle are:
width = w = 4.5 ftlength = l = 6 ftStep-by-step explanation:
Let 'l' be the length and 'w' be the width of the rectangle
The length 'l' of the rectangle is 3ft less than twice the width 'w'.so
[tex]l=2w-3[/tex]
Also, the area of the rectangle is 27ft^2.
[tex]A=27\:ft^2[/tex]
As the area of the rectangle has the formula:
[tex]\:A\:=\:l\times w[/tex]
so
[tex]27=\:l\times w[/tex]
so the equation becomes
[tex]27=\left(2w-3\right)\times \:w[/tex]
[tex]27=2w^2-3w[/tex]
[tex]2w^2-3w-27=0[/tex]
[tex]\left(w+3\right)\left(2w-9\right)=0[/tex]
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]w+3=0\quad \mathrm{or}\quad \:2w-9=0[/tex]
[tex]w=-3,\:w=\frac{9}{2}[/tex]
as the width can not be negative, so
[tex]w=\frac{9}{2}=4.5[/tex] ft
As
[tex]l=2w-3[/tex]
[tex]l=2\left(4.5\right)-3[/tex]
[tex]l=9-3[/tex]
[tex]l=6[/tex]
So the dimensions of rectangle are:
width = w = 4.5 ftlength = l = 6 ftAnswer this please thanks
Answer:
The answer is yes, since the graph is an equal line throughout.
Step-by-step explanation:
The sum of two numbers is -14. If the smaller number is subtracted from the larger number, the result is 10. Find the number
Answer:
The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?
Step-by-step explanation:
EQUATION:
x+ y = 78
x-4y = 13
-------------
solve by any method to get:
x = 65
y = 13
4:9 is an equivalent ratio to 36:__
Answer:
36:81
Step-by-step explanation:
4 to 36 is times 9, so you have to multiply 9 by 9 to complete the ratio which is how you get 81.
Find the length x of QR
Answer:
4.5
Step-by-step explanation:
If they are symilar their sides are in proportion so write the proportion
[tex]\frac{x}{5} =\frac{2.7}{3}[/tex] you can pick any other 2 sides as long as you take them in the same order
x= 5*2.7/3=4.5
Which best describes a polynomial?
Answer:
an algebraic expression containing one or more terms
Step-by-step explanation:
Can sumone please help me w this question? It math. 10 points. What is the value of r in the equation 3r − 6 = 18?
Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?
Answer:
[tex]P(F/E) = 0.6[/tex]
Step-by-step explanation:
If we are given two dependent events [tex]A[/tex] and [tex]B[/tex] such that their chances of occurrence or the probabilities of the events are: [tex]P(A)[/tex] and [tex]P(B)[/tex].
Then the conditional probability that the event [tex]B[/tex] will occur given that [tex]A[/tex] has already occurred is given by the following formula:
[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}[/tex]
Here the two events given are [tex]E[/tex] and [tex]F[/tex].
[tex]P(E\ and\ F)\ or\ P(E\cup F) = 0.3[/tex]
and [tex]P(E) = 0.5[/tex]
As per the above formula that we have already discussed, the formula can be written as:
[tex]P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}[/tex]
Nick volunteers at the library shelving books.
The graph shows how many books Nick shelves one Saturday.
Graph of a diagonal line on a coordinate plane with ALTDCTime in hoursALTDC on x-axis and ALTDCNumber of BooksALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 60) and (4, 120).
Part A
How many books does Nick shelve in 2 hours? Enter your answer in the box.
books
Part B
What does the point (3, 90) represent on the graph?
A.
Nick volunteers 90 hours in 3 weeks.
B.
Nick earns $90 in 3 weeks.
C.
Nick shelves 90 books in 3 hours.
D.
Nick shelves 90 books on 3 Saturdays.
Answer:
B: A
He earns $90 in 3 weeks.
C
He shelves 90 books in 3 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation:
300/12.500000000000000000
Answer: 24
Step-by-step explanation: Hope this helps.
(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point Sis at (2,6). The distance (in units) between points T and Sis
numbers, such as 2.) (5 points)
(Input only whole
Answer:
The distance 'd' between T and S:
[tex]d=10[/tex]Step-by-step explanation:
As the point 'T' is located at (2, -4)
So, the point 'T' has the coordinates (2, -4)And the point 'S' is located at (2, 6)
So, the point 'T' has the coordinates (2, 6)The distance 'd' between T and S can be computed using the formula:
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]
[tex]=\sqrt{0+10^2}[/tex]
[tex]=\sqrt{10^2}[/tex]
[tex]d=10[/tex]
Therefore, the distance 'd' between T and S:
[tex]d=10[/tex]Answer:
t and s
Step-by-step explanation:
Choose the point-slope form of the equation below that represents the line that
passes through the points (-6,4) and (2,0). (2 points)
Answer:
y - 4 = -0.5(x + 6)
Step-by-step explanation:
Answer:(4-,6)
Step-by-step explanation:hope this helps u i do my best to helps ever one
What is the perimeter of the figure?
A. 22.0 yd2
B. 21.1 yd
C. 22.0 yd
D. 21.1 yd2
Answer:
B. 21.1 yd
Step-by-step explanation:
The perimeter of the figure is the sum of all its three sides.
Take note that the dotted line is not a side length of the figure.
The side lengths are 9 yd, 5 yd, and 7.1 yd.
Therefore, the perimeter of the figure = 9 + 5 + 7.1
Perimeter = 21.1 yd.
Also, take note of the unit of the perimeter. Unit of the perimeter would not be squared. Only area has a unit that is squarred.
PLEAS HELP FAST!!!!!!!!!!!!!!
Answer: Point D
Step-by-step explanation: Point D is at 3 and 3/4.
I think the answer is point D
8 more than the quotient of a number and 2 is 14. find the number
Answer:
x = 12
Step-by-step explanation:
x/2 + 8 = 14Subtract 8 from both sides because it is the inverse operation of addition. x/2 = 6Multiply both sides by 12 because it is the inverse operation of division. x = 12PLEASE HELP!!!!
The state of Texas did a random sample of the weight of 15 year old boys. The 10 boys they sampled had a total weight of 1250 pounds. What is the best guess (point estimate ) for the average weight of 15 yearold boys in Texas?
1250/10=125
Hope this helps and have and AWESOME night!!! :)