please help!!!

Using long division, what is the quotient of this expression?
3x42x³-x-4
x²+2
OA. 3x²
3x - 4
OB. 3x² + 2x + x² + 2
O C.
3x² 2x
O D.
-
2x
3x² + 2x
- 6 +
-
- 5+
-
3x + 8
x² + 2
-
3x+6
x²+2
5x8
x² + 2
Rese

Please Help!!!Using Long Division, What Is The Quotient Of This Expression?3x42x-x-4x+2OA. 3x3x - 4OB.

Answers

Answer 1

Check the picture below.

notice, the dividend and divisor must be in descending order, and when one of the variables is "missing", is really not missing, it simply has a coefficient of 0.

Please Help!!!Using Long Division, What Is The Quotient Of This Expression?3x42x-x-4x+2OA. 3x3x - 4OB.
Answer 2

Here is the solution process:

                     3 x² -  2 x  -   6                      

x² + 0x + 2 | 3 x⁴ -  2 x³ +  0  x² -     x -   4

                    3  x⁴ + 0 x³ +  6  x²                

                             - 2 x³  -  6  x² -      x -   4

                             - 2 x³  + 0  x² -   4 x        

                                        -  6  x² +  3 x  -  4

                                        -  6  x²  + 0 x  -  12

                                                        3 x  + 8

Long division:

Standard: [tex]\sf{3x^{2} -2x-6+\dfrac{3x+8}{x^{2} +2} \ \ \to \ \ \ Option \ "A" }[/tex]Quotient: 3x² - 2x - 6Rest: 8 + 3x

Therefore, the correct option is "A".


Related Questions

Will give 30 pts!
What is:
27+ 8 x 41- 23 =

Answers

The answer is 332
Just solve them step by step

what is 4,928 will rounded to the nearest hundred​

Answers

Answer:

4.93

See the discussion below if the number is 4928.

Step-by-step explanation:

Comment

Do you really mean hundred? If you do, the nearest hundred is 0 when the actual value is 4.928

If you mean the nearest hundredth that means that 2 is the value of the hundredth now. Rounded, the answer is 4.93

If the given value is 4928, the hundred's place is the 9. Look at the 10s place (2). Since the 2 is less than 5, the 9 is not changed. 2 zeros are at the end of 49 since the hundreds place is rounded.

4900 is the answer

Hi there,

please see below for solution steps :

__________

Let us revise the rounding rules :

1) if the number you’re rounding to is followed by a number from 0 to 4, you drop that number

2) if the number you’re rounding to is followed by a number equal to 5 or more, you add 1 to that number

________

Now,

Nearest Hundredth => 3 digits after the decimal point

Thus,

4.928 => 4.93

Hope the Answer - and steps - made sense to you,

Happy Studying !!

Frozen Melody

Graph the line passing through (−4,−1) whose slope is m=−4/5

Answers

attached is the graph

the answer is (-4,-1) and (1,-5)

6 A survey was given to 12th-grade students of West High School to
determine the location for the senior class trip. The results are shown
in the table below.
To the nearest percent, what percent of the boys chose Niagara Falls?

Answers

Total of 24.03% of boys choose Niagara falls.

What is a frequency table?

A frequency table is a list of objects with the frequency of each item shown in the table.

The quantity of times that an event or value occurs is its frequency.

A frequency table, then, is a table that contains some facts and their frequency.

Given,

Total number of boys

56 + 74 + 103 = 233

Number of boys who chose Niagara falls = 56

Percentage of 56 out of 233

(56/233) × 100⇒ 24.03%

Hence the percent of the boys chose Niagara Falls will be 24.03%.

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Please help quick what is the answer thank you

Answers

Answer: y= -3x + 4
Explanation: As the general equation of line is y= mx + c where m is the slope of the line and c is the y intercept.
=> for m we need to find the slope of line which is y2 - y1/ x2 - x1
=> 7-1/ -1-1 = 6/-2 = -3
and as we can in the diagram the y intercept is 4
that means our equation for the given line is y = -3x + 4.

Answer:

y= -3x+4

Step-by-step explanation:

y=mx+c

m= y2-y1 ÷ x2-x1

m= -3

y=-3x+c

7=-3(-1)+c

c=4

y=-3+4

Help asap please!
What is sin(B)?
5
√61
sin(B):
6 [?]√[]
B
=

Answers

Answer:5SQRT61/

61

Step-by-step explanation:

Jocelyn has a ladder that is 15 ft long. She wants to lean the ladder against a vertical wall so that the top of the ladder is 13.5 ft above the ground. For safety reasons, she wants the angle the ladder makes with the ground to be less than 75°. Will the ladder be safe at this height? Show your work and equation to support your answer

Answers

By using trigonometric relations, we will see that the angle that the ladder makes with the ground is 64.2°, so we conclude that the ladder is safe.

Will the ladder be safe at this height?

Notice that the ladder makes a right triangle with the wall.

Such that the hypotenuse (the ladder itself) measures 15 ft, and one of the catheti (distance between the ground and top of the ladder) measures 13.5ft

If we considerate the angle that the ladder makes with the ground, the known cathetus is the opposite cathetus.

Then we can use the relation:

sin(x) = (opposite cathetus)/(hypotenuse)

Then:

sin(x) = (13.5ft)/(15ft)

If we use the inverse sine function on both sides, we get:

Asin(sin(x)) = Asin( 13.5ft/15ft)

x = Asin(13.5/15) = 64.2°

So the angle is less than 75°, which means that in fact, the ladder is safe.

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please anybody solve this problem step by step as soon as possible

Answers

Answer:

39 pages

Step-by-step explanation:

If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages

Mathematics problem..

Answers

Answer:

a) x + 10 = 45

b) 3 = 6 - x

c) d = s * t

Step-by-step explanation: This is actually pretty simple. Let's put down one theorem.

SYMMETRIC THEOREM OF PROPERTIES: If a equals b, then b must equal a. Thus, a = b and b = a.

This is all we're really doing.

Take a) for example, 45 = x + 10. Let's label (45) as A, and (x + 10) as B. Thus we have A = B. Now we know by the Symmetric Property, we have B = A. Thus, substituting B and A again, we get x + 10 = 45.

Just keep doing this with all the equations.

Hope this helped!

with the law of indices simplify 3a²b×2ab

Answers

Answer:

6a³b²

Step-by-step explanation:

3 × 2 = 6

a²× a¹ = a³

b × b = b²

16 cups are to 1 gallon as x cups are to 5 gallons.​

Answers

Answer:

80 cups

Step-by-step explanation:


A client named Tommy wants us to prepare a 3300-word Marketing Report + Poster. If a task is quantifiable by word count, we charge $110 per 1000 words. If a task is not quantifiable by word count, we estimate how many hours are required to complete the task and we charge based on $5 per hour. How much should we charge Tommy? Work out the total price.​

Answers

The amount we should charge Tommy is $363.

What does the amount charged mean?When you charge someone money, you are requesting payment from them in exchange for something you have either sold to them or performed for them.The total sum that the Owner is obligated to pay under the charge obligations as outlined in the payment schedule is referred to as the "Total Charge Amount."

How much should we charge Tommy:

The amount charged for 1000 words = $110

The amount charged per word = $110/1000

Amount to be charged for 3300 words = $(110/1000) × 3300

= $(0.11) × 3300

= $363

The amount we should charge Tommy is $363.

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​Can u guys please give me the correct answer​​

Answers

Answer:

∠ 3 = 65°

Step-by-step explanation:

∠ 2 and 115° are a linear pair and sum to 180° , that is

∠ 2 + 115° = 180° ( subtract 115° from both sides )

∠ 2 = 65°

∠ 2 and ∠ 3 are corresponding angles and and are congruent , then

∠ 3 = 65°

Solve for x. Please help I don’t understand how to do this

Answers

Answer:

x = 5

Step-by-step explanation:

There's a Secant Theorem that someone else figured out (waaaay back in history) we just need to memorize it. So a secant is a line that touches the circle in two places. Your picture has two secants that both go thru the same point that's outside the circle. The secants each have a bit that's inside the circle and a bit that's outside the circle. And we could add together the inside and outside bits and get a total for the whole thing.

The secant theorem says that the outside piece × the whole thing on one secant = the outside piece × the whole thing on the other secant.

For the secant on top the "outside" bit is 9 and the whole thing is (2x+1+9). We'll times these together.

For the bottom secant the outside piece is 10 and the whole thing is (x+3+10). We'll multiply these together.

9(2x+1+9)=10(x+3+10)

simplify.

9(2x+10) = 10(x+13)

distribute.

18x + 90 = 101x + 130

combine like terms.

8x + 90 = 130

subtract 90

8x = 40

divide by 8

x = 5

see image.

I hope you could get this answer

Answers

Answer:  -12

Step-by-step explanation:    x is -4 so -(-4) is positive 4. d = 3 so -3 = -3. -3x4 = -12.

A box contains 5 reams of paper. How could you estimate the thickness of 2 sheets of paper? One ream of paper is 500 sheets.

Please provide deep explanation so i can learn and understand

Answers

The estimated thickness of 2 sheets of paper, given the parameters, is 0.0216 cm.

What is the thickness of a sheet of paper?

The thickness of a sheet of paper can be measured using a screw gauge or vernier caliper.

If the thickness of a ream of paper, which contains 500 sheets, is given, a sheet will be x/500 thick.

The thickness of 2 sheets of paper will be the thickness of a sheet multiplied by 2.

Data and Calculations:

Number of reams of paper in a box = 5 reams

1 ream = 500 sheets

500 sheets = 5.4 cm thick

The thickness of 2 sheets of paper = 0.0216 cm {5.4cm x 2/500)}

Thus, the estimated thickness of 2 sheets of paper, given the parameters, is 0.0216 cm.

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Question Completion:

Assume that one ream of paper is 5.4 cm thick.

What is the value of b?

Answers

The value of b as described in the task content by means of solving the two equations simultaneously is; b= -10.

What is the value of b from the given equations?

The given simultaneous equations as indicated have been manipulated to determine the value of a which is; 0.5 in the task content.

Hence, by substituting a= 0.5 into the equation; 5 = 30a + b; we have;

5 = 30(0.5) + b

b = 5- 15 = -10.

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I just need to know what the answer is

Answers

Answer:

C

Step-by-step explanation:

Draw a line between the points representing wicket 3 and wicket 9 on the diagram. Then, find the
area of the rectangle. Show your work and round your answer to the nearest hundredth.

Answers

Based on the calculations, the area of a rectangle to the nearest hundredth is equal to 1143.92 ft².

How to calculate the area of a triangle?

Mathematically, the area of a triangle can be calculated by using this formula:

Area = 1/2 × b × h

Where:

b represents the base area.h represents the height.

By drawing a line between the points representing wicket 3 and wicket 9, we can logically deduce that wicket 2 forms a perpendicular bisector. Thus, the distance between the points representing wicket 3 and wicket 9 is given by:

Distance = 1/2 × 36.77

Distance = 36.77/2

Distance = 18.39 ft.

For the height of this triangle, we would apply Pythagorean's theorem:

h² = 25.02² - 18.39²

h² = 626.0004 - 338.1921

h² = 287.8083

h = √287.8083

h = 16.97 ft.

Area of triangle = 1/2 × b × h

Area of triangle = 1/2 × 36.77 × 16.97

Area of triangle = 311.99 ft².

For area of the rectangle, we have:

Mathematically, the area of a rectangle can be calculated by using this formula;

Area = LW

Area = 36.77 × 31.11

Area = 1143.92 ft².

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Explain why [tex]x[/tex] and [tex]3x + 5[/tex] are factors of the expression [tex]x(3x + 5)^{2}[/tex] and not terms of the expression.

Answers

[tex]x[/tex] and [tex]3x+5[/tex] are being multiplied to form the expression, and are not being added or subtracted.

Here, x and (3x+5) are given in the form of multiplication, instead of being separated by addition or subtraction. This is why x and (3x+5) are factors of the expression x(3x + 5)² and not terms of the expression.

What are terms and factors in an expression?

Terms of an expression can be a variable, a signed number, or a constant multiplied by one or more variables. On the other hand, the factors are the items that have been multiplied by another items. Any integer, variable, phrase, or lengthier expression can be a factor.

For instance, the expression 2x(y - 5) has three components: 2, x, and (y-3). These three components are its factors, since when multiplied, they produce the same expression. The factors may or may not be comprised of more than one terms.

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A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g. How many of each weight is needed?

Answers

Answer:

See below

Step-by-step explanation:

237/50   =    4    R 37

37/20     =     1     R 17

17 / 10     =     1     R 7

7 / 1         =     7    R 0

4   50gm's      1     20gm       1   10gm       and   7    1g wts

The required number of weights used in chemical balance to weigh 237g is 4,1,1,7 respectively.

What is mathematical expression?

A mathematical expression expression in mathematical is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here, it is given that :

A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g.

Now, let us find the number of weights for each weight type :

For 50g weight the maximum number of weights needed will be 4 that is :

50g x 4 = 200g

Now, for 20g weight the maximum number of weights needed will be 1 that is :

20g x 1 = 20g

Now, for 10g weight the maximum number of weights needed will be 1 that is :

10g x 1 = 10g

Now, for 1g weight the maximum number of weights needed will be 7 that is :

1g x 7 = 7g

Adding all the weights we get :

200g + 20g + 10g + 7g = 237g;

which is the required weight and the number of weights used is 4,1,1,7 respectively.

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what is the area of a polygon with verticies of (-2,2), (3,2), (7,-5) and (-2,-5)

Answers

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=5\\ b=9\\ h=7 \end{cases}\implies \begin{array}{llll} A=\cfrac{7(5+9)}{2}\implies A=\cfrac{7(14)}{2} \\\\\\ A=49 \end{array}[/tex]

Calculate the perimeter and area of this shape.
Perimeter =

Answers

Answer:

Perimeter → 25cm

Area → 25.5cm²

Explanation:

[tex]perimeter = > 2.5 \times 2 + 5.5 + 3.5 + 6 + 3 + 2 = 5 + 9 + 9 + 2 = 25[/tex]

[tex]area = > 3 \times \frac{1}{2} \times 2 + 3 \times 3.5 + 6 \times 2 = 3 + 12 + 10.5 = 25.5[/tex]

what is Z in the rhombus?​

Answers

Answer: 27°

Step-by-step explanation:

The easiest way to find the measure of angle Z is to know that in a rhombus, the diagonals are perpendicular bisectors of each other. This means that all the four angles in the center are 90°.

Since we know that all angles in a triangle add up to 180°, we can set the sum of z, 63, and 90 to be 180 and solve for z.

[tex]z+63+90=180\\z+153=180\\z=27[/tex]

Hence, z is 27°.

If f ( x ) = x 2 and g ( x )= 2x - 2,

find f ( g ( 7 ) )

Answers

Answer:

144

Step-by-step explanation:

First find g(7) --

[tex]g(7)=2(7)-2\\=14-2\\=12[/tex]

Then plug 12 into f(x) --

[tex]f(12)=(12)^{2} \\=144[/tex]

PLEASE ASAP!! ALSO PLEASE INCLUDE AN EXPLANATION OF HOW YOU GOT THE ANSWER!!! THANK YOU! BTW THERE ARE TWO PICTURES! :)

Answers

2/3 is 400% of 1/6

0.2 is 12.5% of 1 3/5

Calculating Percentages

From the question, we are to determine what percent of 1/6 is 2/3

Let the value be x

Thus,

We can write that

2/3 is x% of 1/6

This means

2/3 = x/100 × 1/6

Now, solve for x

2/3 = x/100 × 1/6

2/3 = x/600

x = (2×600)/3

x = 400

Hence, 2/3 is 400% of 1/6

We are to determine what percent of 1 3/5 is 0.2

Let the value be y

That is,

0.2 is y% of 1 3/5

This can be written as

0.2 = y% × 1.6

0.2 = y/100 × 1.6

Now, solve for y

0.2 = y/100 × 1.6

0.2 = 1.6y/100

1.6y = 0.2 × 100

1.6y = 20

y = 20/1.6
y = 12.5

Hence, 0.2 is 12.5% of 1 3/5

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chef John bought 3 dozen eggs for $16.20 what is the unit price a $10.80 per 2 dozen eggs b $5.40 per 12 eggs c $0.45 per eggs d $0.22 per eggs e none of these f I don't know this yet​

Answers

Answer: C ) $0.45 per egg


3 dozen eggs = 36 eggs

Price / Units = Unit Price
$16.20 / 36 = $0.45 per egg

The unit price is the price per unit, in this case the unit is each egg.

You will have to solve the equation to get the number. Put your math skills to the test! Make sure to put your number in numeric form and in 3 digits. (not using pemdas, left to right)

Equation:
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000

Answers

The value of the expression 2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 is 400000

How to solve the equation?

The equation is given as:

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000

From the question, we understand that the expression is to be solved from left to right (without using the pemdas mathematical rule)

So, we start by multiplying 2 and 4

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 8 + 48000 / 8 - 1 x 30 x 2 + 40000

Add 8 and 48000

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 48008 / 8 - 1 x 30 x 2 + 40000

Divide 48008 by 8

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 6001 - 1 x 30 x 2 + 40000

Subtract 1 from 6001

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 6000 x 30 x 2 + 40000

Multiply 6000 and 30

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 180000 x 2 + 40000

Multiply 180000 by 2

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 360000 + 40000

Evaluate the sum

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 400000

Hence, the value of the expression 2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 is 400000

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Given the two similar octagons
shown below, find the perimeter
of the larger octagon.
28
Perimeter = 34
4
6 4
3
4
7
3
3

Answers

The perimeter of the bigger octagon that is similar to the smaller one is: 238 units.

What is an Octagon?

An octagon can be described as a polygon that has 8 sides and 8 angles.

What are Similar Octagons?

Octagons are referred to as similar to each other if they have the same angle measure but corresponding sides that are proportional to each other. That is, they have the same shape but different sizes.

How to Find the Perimeter of Similar Polygons?

Given the two octagons in the diagram are similar, and:

Perimeter of the smaller octagon = 34 units

A side of the smaller octagon = 4 units

Perimeter of the bigger octagon = ?

A corresponding side of the bigger octagon = 28 units

Therefore:

Perimeter of the smaller octagon/Perimeter of the bigger octagon = side of the smaller octagon/corresponding side of the bigger octagon

Plug in the values

34/Perimeter of the bigger octagon = 4/28

Perimeter of the bigger octagon = (28 × 34)/4

Perimeter of the bigger octagon = 238 units.

In summary, the perimeter of the bigger octagon is: 238 units.

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1.
Berkley is flying a kite. The string is all the way out, which means it is 425 meters away. Berkley is looking up at the kite at an angle of 42°. Berkley's dog is watching the kite too and the angle from Berkley to the dog to the kite is 87°. How would you find the distance between the kite and the dog? Is it possible? Explain your answer using the law of sines.

Answers

Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.

What is the law of sines?

Suppose we have a triangle in which:

The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.

The lengths and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

For the situation described, we have that:

The height is opposite to the angle of 42º.The 425 meters are opposite to the angle of 87º.

Hence:

[tex]\frac{\sin{42^\circ}}{h} = \frac{\sin{87^\circ}}{425}[/tex]

Applying cross multiplication:

[tex]h = 425\frac{\sin{42^\circ}}{\sin{87^\circ}}[/tex]

h = 284.77 meters.

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30 points!! Please helppp!! Its the last question!! The following diagram shows the branching tree for four kingdoms and some of their shared derived characteristics.What shared characteristic can be written at point X? Use complete sentences to explain your answer. If dr. taylor's stroke involved a blood clot in a similar location in her right hemisphere instead of her left hemisphere? the set of integers less than -20 In your view, what is the best avenue for controlling behavior in police agencies? How many minutes will it take to plate out 16. 22 g of al metal from a solution of al 3 using a current of 12. 9 amps in an electrolytic cell? Is it fair that a higher power just nine individuals decides who is right in an argument? what are some reasons this is fair and some examples when it might not be? Which adult victim requires high-quality cpr? has a strong pulse and is breathing has no normal breathing and no pulse has a pulse and is having trouble breathing has normal breathing and has a pulse Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = 1 x-intercepts at x = -3 and x = 6 y-intercept at 5 In the stomach, _______ participate in the chemical digestion of protein. gastric lipase and intrinsic factor hydrochloric acid and pepsin mucus and cholecystokinin all of the above In 2021, the Internal Revenue Service (IRS) decreased the deductible mileage cost to 56 cents from 57.5 cents. Find the percent decrease. (Round to the nearest hundredth of a percent) Is the largest us trading partner. canada and mexico account for of total us exports. generally, the share of us exports in the countrys gdp has been . the majority of us trade activities involve export and import of . What three key observations allowed darwin to deduce that natural selection is a primary driver of evolution? Which of the following amendments to the constitution is not part of the bill of rights A. Must be approved by the president B. Direct elections of senetors A large party balloon is being filled with helium at a constant rate. After 8 seconds, there is 2.5L of helium in the balloon. b) The balloon will burst if there is more than 10 L of helium in it. How long will it take to fill the balloon with that much helium? Suppose a friend has asked you to help him to make a choice as to what kind of computer he should buy for his personal use at home. What would you look for in comparing various makes and models The resistance of platinum thermometer is 5.7 5.5, 5.2 at boiling point,unknown temperature, , and at the freezing point of water respectively.Determine the unknown temperature in C. Assuming a mass of 0.04-g, what is the power exerted by the electrical forces on a fragment of fiber if the fragment has a velocity of 200 mm/s, 10 ms after ejection? An abnormal accumulation of fluid in the intercellular spaces of the body that is localized or diffused is referred to as ___________. Question: You can work 40 hours per pay period while attending school earning $12.50 an hour. There are two pay periods per month. NOW Assume you have deductions for health care of $25 per pay period and 401K deduction of $50 per pay period. These deductions are pretax.Gross Pay per pay period: $Taxable Income per pay period: You pay 11% in federal taxes. Federal tax withholding per pay period: $___Use the state tax rates below and calculate State tax withholding per pay period: $ (round to two decimals)_____From the image: Calculate FICA withholding per pay period: $Calculate Medicare withholding per pay period: $(round to two decimals)What is your Net pay per pay period: $(round to two decimals) you spent $14.95 for a new shirt. you now have $12.48. write and solve an equation to find how much money you had before you bought the shirt