1. Juliet O'Hara works for a weekly paycheck. Last week she worked 5 days for a total of 39 hours. Her regular rate of pay is $10.95 an hour. In addition to federal income tax, state income tax, Medicare, and social security, Juliet also has insurance of $20 a week withheld and puts 4% of her gross pay into a retirement account. Compute her gross pay, deductions, and net pay. SHOW YOUR WORK!
Step-by-step explanation:
given data:
hours worked weekly = 39
pay/her = $10.95
insurance withheld weekly = $20
percentage put into Retirement = 4%
Solution:
Gross pay
= hrs worked weekly x pay/hr
= 39 x $10.95
= $427.05.
Deductions
insurance deduction
= $427.05 – $20
= $407.05
Amount put into retirement account
= 4% of $427.05
= 4/100 x $427.05
= $17.082
NET PAY
= $427.05 – $20 –$17.082
= $389.97
¡¡. PLEASE HELP !!!!
The graph of an equation intersects the y-axis at some point. What do the coordinates of the intersection indicate?
A. the input when the output is zero
B. the output when the input is zero
C. the input when the output is 1
D. the output when the input is 1
Answer:
B
Step-by-step explanation:
got stuck on it too lol
The graph of an equation intersects the y-axis at some point. Therefore, the coordinates of the intersection indicate is B. the output when the input is zero.
What is perimeter?Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).
Since sum of side lengths of the triangle of vertices: 3
Area: ½ × base × height
Number of edges: 3
Internal angle: 60° (for equilateral)
The Sum of interior angles is 180°
Therefore, the coordinates of the intersection indicate will be;
B. the output when the input is zero.
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Makinzee bikes 64.4 miles in 4 hours. What is her average rate of miles per hour?
Pls help
Answer:
16.1 mph is your rate
Step-by-step explanation:
Answer:
16.1 per hour
Step-by-step explanation:
just divide the mile by the hours.
64.4 / 4
I dont get the question
I need help please and thank you
Answer:#7 is 20%. #8 is 67.5 people
Step-by-step explanation: For #7 you would just divine 14/70 to get .20 converted to a percentage is 20%. For #8 you would convert 37.5% to a decimal of .375 and multiply that to 180 people to get the answer of 67.5 people.
This graph shows the solution to which inequality???
Answer:
B. y > (4/3)x - 2
Step-by-step explanation:
The dotted line means that the answer WILL NOT include the line itself, just the space above it. Since the shaded area is above the line, it must be greater than the line.
Solve the inequality below.
4(x + 3) < 6x – 2
Answer:
X > 7
Step-by-step explanation:
4(x + 3) < 6x – 2
4x + 12 < 6x -2
-6x -6x
-2x + 12 < -2
-12 -12
-2x < -14
----- -----
-2 -2
x > 7
The < change because it was divided by a negative number
please help me is this a function and explain why
Answer:
No.
Step-by-step explanation:
For functions, there can only be one y-value to every x value, and in this diagram x=0 has two y-values, therefore it is not a function
Answer:Not a function
Step-by-step explanation:In a function, an input can only have one output. So the fact that 0 has two different outputs means it is not a function.
If your balance is $90 dollars & you have to pay a $10 deposit fee how much left do you have to pay
Answer:
90 minus 10 is 80 so $80 left
What are the zeros of the following polynomial? 0=(x+5)(x-2)(x-3)
please help im really confused with this question <3
Answer:
anyways kikiwaka nana
Step-by-step explanation:
zu zu zu fheibgerghberg
rejgnerkgnerjgeik
what is the value of y
Answer:
100°
Step-by-step explanation:
180 - 80 = 100
The line is 180 so you take away what you already know (80) and then you have 100.
Answer:
180 degree (exterior angle ) please follow and like me
can anyone help me?
Answer:
Literally take your f(x) and - your g(x)
(x^2+9x+18) - (x + 6)
Remember to distribute the negative sign.
Mariah took 4 quizzes in her class during the past month. Her scores were 92, 94, 100, and 83. What was her mean quiz score?
Answer:
Her mean quiz score is 92.25%.
Answer:
92.25
Step-by-step explanation:
Mean is the same as average. Add all the scores together and then decide by the number of scores.
(92+94+100+83)÷4
369÷4=92.25
What is the slope of the following table?
Answer:
The slope is 7
Step-by-step explanation:
Choose any of the following points for example (0.5,3.5) and (1,7)
7-3.5=4.5/1-0.5=0.5
Divide 4.5/0.5 to get 7
The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap
Sum of 8th & 4th terms of an AP = 24
Sum of 6th & 10th terms = 44
Find:A.P.
Solution:We know that,
nth term of an AP = a + (n - 1)d
Hence,
⟹ a + (8 - 1)d + a + (4 - 1)d = 24
⟹ a + 7d + a + 3d = 24
⟹ 2a + 10d = 24 -- equation (1)
Similarly,
⟹ a + 5d + a + 9d = 44
⟹ 2a + 14d = 44 -- equation (2)
Subtract equation (1) from (2).
⟹ 2a + 14d - (2a + 10d) = 44 - 24
⟹ 2a + 14d - 2a - 10d = 20
⟹ 4d = 20
⟹ d = 20/4
⟹ d = 5
Substitute the value of d in equation (1).
⟹ 2a + 10(5) = 24
⟹ 2a = 24 - 50
⟹ 2a = 24 - 50
⟹ 2a = - 26
⟹ a = - 26/2
⟹ a = - 13
We know,
General form of an AP is a , a + d , a + 2d...
Hence,
⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...
⟹ required AP = - 13 , - 8 , - 3....
I hope it will help you.
Regards.
An anthill has a volume of 8792 mm3 of dirt. Its radius is 20 mm. How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the
slant height, s, of the cone.) Answer the questions to find out.
Answer:
The slope is 29 mm.
Step-by-step explanation:
What we know:
The radius of this cone is 20 mm, and the height is 21mm
s = √r^2 + h^2
s = √20^2 + 21^2
s = √400 + 441
s = √841
s = 29 mm
The slant height of the cone is required,
The ant would have to crawl [tex]29\ \text{mm}[/tex]
Volume of coneV = Volume of cone = [tex]8792\ \text{mm}^3[/tex]
r = Radius of cone = 20 mm
h = Height
s = Slant height.
Volume of a cone is given by
[tex]V=\dfrac{1}{3}\pi r^2h\\\Rightarrow h=\dfrac{3V}{\pi r^2}\\\Rightarrow h=\dfrac{3\times 8792}{3.14\times 20^2}\\\Rightarrow h=21\ \text{mm}[/tex]
From Pythagoras theorem we have
[tex]s=\sqrt{r^2+h^2}\\\Rightarrow s=\sqrt{20^2+21^2}\\\Rightarrow s=29\ \text{mm}[/tex]
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Charles Babbage is known as the father of computer why
Answer:
Charles Babbage, who was born in 1791, is regarded as the father of computing because of his research into machines that could calculate. Babbage's Difference Engine Number 1 was the first device ever devised that could calculate and print mathematical tables.
-7x - 4x = 8 -2x - 8x
Answer:
3x = 8
Step-by-step explanation:
combine all the #x's on the left side
Answer: x= -8
Step-by-step explanation:
-11x=8-2x-8x
-11x=8-10x
-11x+10x=8-10x+10x
-x=8
-x/-1 = 8/-1
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
Answer:
[tex]\longrightarrow 5n+1\longleftarrow[/tex]
Step-by-step explanation:
[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]
Answer:
[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]
Step-by-step explanation:
We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).
[tex]f(n)+g(n)[/tex]
We know that:
[tex]f(n)=2n+1\\g(n)=3n[/tex]
Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)
[tex](2n+1)+(3n)[/tex]
Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.
[tex](2n+3n)+(1)[/tex]
[tex](5n)+1[/tex]
[tex]5n+1[/tex]
f(n)+g(n) is equal to 5n+1
2/5 x 1 2/3
i know its easy
Answer:
2/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
25×53
Applying the fractions formula for multiplication,
=2×55×3
=10/15
Simplifying 10/15, the answer is
=2/3
I need help.........,
Answer:
Step-by-step explanation:
p=15-4
p= 11
How many degrees is are
Answer:
AMH = 32
Step-by-step explanation:
The angles are alternate exterior angles and when the lines are parallel, alternate exterior angles are equal
x+86 = 24+2x
Subtract x from each side
x+86 -x =24+ 2x+2x-x
86 = 24 +x
Subtract 24 from each side
86-24 = 24+x-24
62 =x
x+86 = 62+86 =148
AMH is supplementary since it forms a straight line
AMH + x+86 = 180
AMH + 148 = 180
AMH = 180-148
AMH = 32
The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards to Zeona’s cards change if they both sell half of their cards? Explain.
Answer:
It wouldn't.
Step-by-step explanation:
With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.
3√5•3√2 =
A. √10
B. 9√10
Which one?
Work Shown:
[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]
The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
Jordan already knew 2 appetizer recipes before starting culinary school, and he will learn 2 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks w and the number of appetizer recipes a. Write your answer as an equation with a first, followed by an equals sign
Answer:
w=2r
r= w/2
r- w/2 = 0
w -2r= 0
Step-by-step explanation:
Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives
w=2r
when w= 1
w= 2(1) = 2
For 1st week 2 recipes are learned
when w= 2
w= 2( 2) = 4
For 2nd week 4 recipes are learned.
or
when r= 2
r= w/2
r =2/2 = 1 one recipe is learned in half of the week
r- w/2 = 0
or
w -2r= 0
Find the value of f(-6).
y = f(x)
Answer:
i believe the answer is 4
Step-by-step explanation:
Can someone help me with this please!!
Answer:
What are we meant to do its sideways
Step-by-step explanation:
Which equation is the inverse of y = 16x2 + 1?
O y=+T6
x-1
O y =
16
+
Oy AVTO
INX-1
Оy=
Step-by-step explanation:
[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]
The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us find the inverse of the equation y = 16x² + 1.
To find inverse we need to replace y with x and x with y in the original equation to obtain:
x = 16y² + 1
Now solve for y in terms of x by rearranging the terms
x - 1 = 16y²
Divide both sides by 16
y² = (x - 1)/16
Take square root on both sides.
y = ±√[(x - 1)/16]
Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:
y = ±√[(x - 1)/16]
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