The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17
What is Federal Income Tax?Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.
What is FICA Tax?FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:
How to calculate Tonja's Tax before deduction
Federal Tax rate first level is 10% on 0$ - $19,900.
1) Hence, the first tax is 10% on $600, which is $60
2) The next tax is FICA. This is applied to the Gross Pay of $600.
Applying both taxed under FICA we have 7.65% * $600 = $45.9
Total Tax before a deduction is:
$60 + $45.9 = $105.6
The Tax Payable if childcare expenses is deducted first will be:
10% on $450 = $45
7.65% on $450 = $34.43
Total = $79.43
Hence the tax savings will be:
105.6 - 79.43 = $26.17
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There were 136 students and 34 adults at a concert in the auditorium. They filled 85% of the seats in the auditorium. How many seats are there in the auditorium?
Answer:
there are 200 seats and 170 of them were filled
136+34=170
= 170 is 85% of ?
? = 200
if you can mow 90 lawns in 45 minutes how long will it take to mow 12 lawns?
Answer:
24 minutes
Step-by-step explanation:
90/45=2 x 12 = 24
Hope It Helps
please help i’ll give points
Answer:
I dont know if this will help or not but
Step-by-step explanation:
Answer:
I don't know but I think c. I could be wrong so be careful.
a triangle’s angle measures are in the extended ratio of 2:4:9 find the measures
of the angles.
24°, 32°, 124°
20°, 40°, 90°
20°, 40º, 100°
24°, 48°, 108°
Answer: 24°, 48°, 108°
Step-by-step explanation:
Preston needs to write an equation in slope-
intercept form to represent the relationship between x
and y in the table below. What will be the value of the
y-intercept in his equation? Record your answer on
the grid.
HELPS A GIRL OUT PLSSS
The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively.
How to determine a linear function in slope-intercept form
By analytical geometry we know that linear functions can be constructed by know the location of two distinct points on a Cartesian plane and the slope-intercept form is described below:
y - y₁ = m · (x - x₁) (1)
Where:
x - Independent variabley - Dependent variablex₁, y₁ - Coordinates of the know point.m - SlopeAccording the table, the slope of the function is 1.5, as there a change in y of 3 for a change in x of 2. Lastly, we determine the line equation in slope-intercept form: m = 1.5, x₁ = 8, y₁ = 0
y = 1.5 · (x - 8)
And the y-intercept is found for x = 0:
y = 1.5 · (0 - 8)
y = -12
The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively. [tex]\blacksquare[/tex]
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what is the exponential equation of (0,3) and (3,100)
HELP
Answer:
[tex]y=(\frac{\sqrt[3]{900}}{3})^x[/tex]
Step-by-step explanation:
How many terms are in this polynomial?
What is the degree of the fourth term?
What is the coefficient of the second term?
What is the degree of the polynomial?
Answer:
4 terms
Degree of the 4th term = 5
Coefficient of the 2nd term = -6
Degree of the polynomial = 11
Step-by-step explanation:
Terms of polynomials: parts of the expression that are separated by the addition or subtraction operation.
Therefore, there are 4 terms in this polynomial.
If a term of the polynomial has more than one variable, then to calculate the degree of that term, add the powers of all the variables in the term.
Therefore, the degree of the fourth term is:
[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]
The coefficient is the constant. Therefore, the coefficient of the second term is -6
Degree of a polynomial: The greatest exponent of a variable in the polynomial equation.
As some of the terms in this polynomial have more than one variable, we must first calculate the degrees of the individual terms, and then select the greatest as the degree of the polynomial equation.
[tex]-2x^9 \implies \textsf{degree}=9[/tex]
[tex]-6x^2y^6 \implies \textsf{degree}=2+6=8[/tex]
[tex]9x^7y^4 \implies \textsf{degree}=7+4=11[/tex]
[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]
Therefore, the greatest degree is 11, so this is the degree of the polynomial.
#1
There are four terms
-2x⁹-6x²y⁶9x⁷y⁴-4/3x³y²#2
Degree of fourth term
3+25#3
Coefficient of -6x²y⁶
-6#4
Third term has highest degrees
7+4=11Degree of polynomial=11
Please help!
which of the following is equivalent to (a+b)(c+d+e)?
A) ab+ac+ad+ae
B) ac+ad+ae+bc+bd+be
C) abcde
D) ac+bd+e
Find the 2 consecutive integers whose squares have a difference of 239
Answer:
119 and 120
Step-by-step explanation:
let the consecutive integers be n and n + 1 , then
(n + 1)² - n² = 239
n² + 2n + 1 - n² = 239
2n + 1 = 239 ( subtract 1 from both sides )
2n = 238 ( divide both sides by 2 )
n = 119
n + 1 = 119 + 1 = 120
the 2 integers are 119 and 120
as a check
120² - 119² = 14400 - 14161 = 239
A flat rate shipping box is in the shape of a rectangular prism. You estimate that the volume of the box is 350 cubic inches. You measure the box and find that it has a length of 10 inches, a width of 9 inches, and a height of 4.5 inches. Find the percent error. Round your answer to the nearest tenth of a percent.
Please help thank you!!!
I will add more points
Answer:
15.7%
Step-by-step explanation:
You can't add points once you have posted the question. For those who are interested 50 points is more than enough.
Remark
There are two ways of calculating % error. Chemistry uses one way. Most others use the second method. I have used the second method.
Measurements
L = 10 in
w = 9 in
h = 4.5 in
Estimated result
350 cubic cm
Solution
Find the volume from the measurements of the Prism
V = L * w * h
V = 10 * 9 * 4.5
V = 405 in^3
Percent Error
% error = 100 * (Calculated Value - Estimated value)/(Estimated Value)
% error = 100 * (405 - 350)/350
% error = 100 * ( 55) / 350
% error = 15.71
% error = 15.7 (rounded)
Please help. I will give brainiest.
(x^5y^2-x^3y^2+xy-1)-(x^5y^2-x^4y^2-x^3y^2-x^2y+xy-1)
Answer:
STEP 1:
((4•(x2))-(y2)) ((x2)+xy)÷ (((2•(x2))-7xy)+(3•(y2))) ÷ (23x5•y)
Equation at the end of step 1
(((x2)•y)-(x•(y2))) (8x+4y)
STEP 2 :
((4•(x2))-(y2)) ((x2)+xy) ÷ (((2•(x2))-7xy)+3y2) ÷ 23x5y
Equation at the end of step 2:
(((x2)•y)-(x•(y2))) (8x+4y)
STEP 3:
((4•(x2))-(y2)) - ((x2)+xy)÷ ((2x2-7xy)+3y2) ÷ 23x5y
Equation at the end of step 3:
(((x2)•y)-(x•(y2))) (8x+4y)
STEP 4:
x2 + xy
Simplify
8x + 4y
STEP 5:
Pulling out like terms 5.1 Pull out like factors :
x2 + xy = x • (x + y)
STEP 6:
Pulling out like terms 6.1 Pull out like factors :
8x + 4y = 4 • (2x + y)
Equation at the end of step 6:
((4•(x2))-(y2)) x•(x+y)÷ (2x2-7xy+3y2) ÷ 23x5y(((x2)•y)-(x•(y2))) 4•(2x+y)
STEP7:
x•(x+y)
Divide ———————— by 2x2-7xy+3y2
4•(2x+y)
Step-by-step explanation:
hope this helps if not let me know have a blessed day
what is the product of 5.06 and 2.1
Answer:
10.626
Step-by-step explanation:
There's multiple ways to go about it. See how
5.06 * 2.1 = (5 + 0.06)(2 + 0.1) = 5*2 + 0.06*2 + 5*0.1 + 0.06*0.1 =
= 10 + 0.12 + 0.5 + 0.006 = 10.626
Please notice how breaking up the product into smaller parts has let us make all the computations without too much hassle.
Answer:
The product is 10.626
Step-by-step explanation:
hope this helps
Need help on this please
Answer:
First Question is 20. Second one is 12 and the third one is 30.
Step-by-step explanation:
Hope this helps! :)
write down the inequality for x that is shown on this line
Answer:
x < 5
Step-by-step explanation:
the open circle above 5 means that x cannot be equal to 5
the arrow points left indicating values of x are less than 5 , then
x < 5
The required inequality for the given line is x < 5.
Inequality shows relation between two expression which are not equal to each others.
According to the given line,
The value of x is less than 5, implies that x can be 5 to -∞
Also, at x = 5, there is an open circle, implies that,
The value of x can not be equal to 5.
So the inequality can be written as,
x<5
The inequality is x<5 for the given line.
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Kaylee owns a small business selling clothing. She knows that in the last week 3
customers paid cash, 21 customers used a debit card, and 46 customers used a credit a
card.
Based on these results, express the probability that the next customer will pay with a
debit card a as a decimal to the nearest hundredth.
Answer:
0.3
Step-by-step explanation:
Mary has been put in charge of buying soft drinks and chips for a party. If the soft drinks total $25
and chips are $3.29 per bag, how many bags of chips can Mary buy if she wants to spend at most $100.
Answer:22
Step-by-step explanation: he has only $75 to spend on chips . 75/ 3.29
Find the equation of the line parallel to y = - 1/2x -5, that passes through the point (4, -3). Write your answer in slope intercept form.
Answer:
y = -1/2x - 1
Step-by-step explanation:
Hi there!
We are given the equation y = -1/2x - 5
We want to write an equation parallel to this line, that passes through the point (4, -3)
Parallel lines have the same slope
In y=-1/2x-5, the equation is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
-1/2 is in the place of where m is, therefore it is the slope of the line
It is also the slope of the new line that we want to create.
As we already know the slope of this new line, we can substitute it into our equation (y=mx+b):
y=-1/2x+b
Now we need to solve for b
As the equation passes through the point (4, -3), we can use its values to help solve for b
Substitute 4 as x and -3 as y:
-3 = -1/2(4)+b
Multiply
-3 = -2+b
Add 2 to both sides
-1 = b
Now substitute -1 as b into the equation
y = -1/2x -1
Hope this helps!
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PLEASE HELP!! 100 points!
1. Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need to handle them separately.
(A)What is 0.47 expressed as a fraction in simplest form?
(B)What is 0.4¯7 expressed as a fraction in simplest form?
(C)What is 0.¯47 expressed as a fraction in simplest form?
The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.
How to convert a decimal to a fraction?Multiply by 100/100 and keep in the form without division.
A. (0.47)
0.47 x 100/100
= 47/100
B. (-0.47)
= -0.47 x 100/100
= -47/100
C. (0.--47)
A minus sign multiplied by another minus sign makes a positive sign
= 0.--47 ⇒ 0.47
= 47/100
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Calculate the volume of each of the following prisms.
Answer:
The Rectangular prism in the top-left corner is 11,760. The top-middle rectangular prism is 7,938. The top-right rectangular prism is 4,851. The shape that is orange and pink I don't know what it is. The triangular prism on the middle of the page is 11.781. The blue cylinder is 38,936. The green rectangular prism is 23,125. The "clear" rectangular prism on the bottom row is 31,668. The rectangular prism in the bottom right corner is 14,688. That is all, I'm almost 100 percent sure they are all right!
A box of mints contains 20 mints. Allison and her family have already
eaten 8 mints. Allison puts the remaining mints on 2 dishes to serve to
visitors. She puts the same number of mints on each dish. How many
mints does Allison put on each dish?
Answer:
6+6=12 because they were 20-8=12 left and Allison puts 6 and 6 on the single dish
Answer:
6 mints
Step-by-step explanation:
after Alison eats 8 mints there's 12 remaining mints in the box . to distribute an equal amount of mints in two dishes, the number will be 12/2 that's equal 6 mints in each dish.
Tickets for a play cost $3 for children and $10 for adults. A group of 25 people paid a total of $201 for tickets to the play. How many children were in a group?
Answer: There were 7 children
Step-by-step explanation:
Let's use x to represent the children and y to represent the adults.
We know they combine to make a group of 25 people so x+y=25
We also know that they paid $201 and that there is $3 per child and $10 for adults so 3x+10y=201
I will solve by substitution.
Solve for y in the first equation
[tex]x+y=25\\x-x+y=25-x\\y=25-x[/tex]
Sub in our value for y into the other equation and solve for x
[tex]3x+10y=201\\3x+10(25-x)=201[/tex]
Step 1) Simplify
[tex]3x+250-10x=201\\-7x+250=201[/tex]
Step 2) Subtract 250 from both sides
[tex]-7x+250-250=201-250\\-7x=-49[/tex]
Step 3) Divide both sides by -7
[tex]\frac{-7x}{-7} =\frac{-49}{-7}\\x=7[/tex]
Answer:
7 children.
Step-by-step explanation:
Let c = children
Let a = adults
1) We can set up two equations and solve them simultaneously using substitution or elimination method.
c + a = 25
3c + 10a = 201
2) I will use substitution. Make one of the variables the subject; then, substitute it into the other equation.
a = 25 - c
3c + 10(25 - c) = 201
3) Solve for c; then, substitute it into one of the equations.
3c + 250 - 10c = 201
-7c = 201 - 250
-7c = -49
c = -49/-7
c = 7
Let's substitute it into one of the equations.
7 + a = 25
a = 25 - 7
a = 18
Since the question only asked for the number of children, the answer is 7.
What do the following two equations represent?
y
=
−
2
3
x
+
11
y=−
3
2
x+11y, equals, minus, start fraction, 2, divided by, 3, end fraction, x, plus, 11
y
+
7
=
3
2
(
x
−
5
)
y+7=
2
3
(x−5)
Answer:
unclear sorry try 34
Step-by-step explanation:
try 34 hm
Answer:
perpendicular
Step-by-step explanation:
I got it right on khan
Please please please please can someone help me with these four! giving brainly!
Answer:
area of rectangle 5 is 84.87
area of rectangle 6 is 27.71200
rectangle 7: perimeter is 64.64800 area is 104.96
rectangle 8: area is 32.69 perimeter is 36.15400
Note:
if i got any wrong im deeply sorry but good luck with this
A-attached earlobes a-unattached earlobes if a is the allele for having attached earlobes, what percentage of offspring will have attached earlobes? 25% 50% 75% 100%
The percentage of the offspring that will have atatched earlobes as the dominant trait, is: 50%.
What is a Dominant Trait?
A dominant trait surpresses a recessive trait, and expresses itself. The allele of a dominant trait is usally denoted using capital letters.
Given the following traits:
A - attached earlobes (dominant allele)
a - unattached earlobes (recessive allele)
A cross between Aa and aa is shown in the image attached below.
The offspring having attached earlobes = 2 Aa = 50%.
50% of the osspring will have attached earlobes.
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Mariya is solving the quadratic equation by completing
the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
what is the question, I'm confused?
Answer:
This is the best I can do because your question is un clear
Step-by-step explanation:
3.5 divided by 0.375 with solution.
Answer:
9 and 1/3
Step-by-step explanation:
0.375 = 3/8
You can write the question as:
3.5/(3/8)
(7/2)/(3/8)
—> times to get denominator of 16
(56/16)/(6/16)
(56/16) x (16/6)
the 16 cancels out so we are left with:
56/6,
54/6 = 9
2/6 = 1/3
Therefore the answer is 9 + 1/3 = 9 and 1/3
Patios can be made by mixing cubic meters of cement, gravel, and stones in the ratio 9:4:6. How much gravel is needed to make 209 cubic meters of patio?
Answer:
44 cubic meters
Step-by-step explanation
9 + 4 + 6 = 19
9/19 of the patio will be cement
4/19 of the patio will be gravel
6/19 of the patio will be stones
Work out the amount of gravel - 4/19 * 209 = 44 cubic meters
:)
What is the true solution to l n 20 l n 5 = 2 l n x
Since the solution cannot be negative hence the true solution to the expression is x = 10
Laws of logarithmGiven the logarithmic expression
ln 20 + ln 5 = 2lnx
In logarithmic law, the sum of log is equivalent to its product .The equation above can be written as:
ln(20*5) = 2lnx
ln100 =2lnx
ln100 = lnx^2
x^2 =100
x = 10
Since the solution cannot be negative hence the true solution to the expression is x = 10
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P (-2, 4). 4 If P = (-2, 4), then find: 3 2 Ry=1 (P) y=1 1 2 3 4 5 -4 -3 -2 -1 0 -1 ([?], []) -2 -3 -4 Enter
Answer:
(-2, -2)
Step-by-step explanation:
A line of reflection is the perpendicular bisector of a point and its image. The given point is 3 units above the horizontal line of reflection. Its image will be 3 units below that line, at y = 1 -3 = -2.
The image coordinates are P'(-2, -2).
pls help me im really stuck
Answer:
10:1:5
Step-by-step explanation:
Let's mark names as their first letter:
Amy=A
Bill=B
Cara=C
The ratio should be like this A:B:C
A=10*B
C=A/2 or A*1/2
If it is the simplest, then Bill have to score 1 point.
10*1=10 (Amy's score)
10/2=5 (Cara's score)
If it is Amy:Bill:Cara then the ratio of points score by them is 10:1:5
I hope that I helped :)