If you have 15% withheld for federal taxes, 10% for state taxes, and FICA is a 7.65%, how
much are your involuntary withholdings in all if your gross pay is $1,575.00 and your net
income is $925.00?
OS514.24
O $302.01
O $120.49
O $70.76

Answer:

\(4x + 5\)

Step-by-step explanation:

\((8 - 2x) - (3 - 6x)\)

\(8 - 2x - 1 \times 3 - (6x)\)

\(8 - 2x - 3 + 6x\)

\( - 2x + 5 + 6x\)

\(4x + 5\)

Answer: 4.47

Answer:

The area of the rectangle is 6 centimeters squared.

Step-by-step explanation:

This shape is a rectangle.

There is a formula to find the area of a rectangle:

length multiplied by width equals the area.

l x w = area

2 x 3 = 6

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

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Cesar initially had $2,500 in savings.

Let's solve the problem step by step.

Let's assume that the initial amount of money Cesar had is represented by "x" dollars.

According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:

0.85x = 2,125

To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:

x = 2,125 / 0.85

Calculating this value:

x = 2,500

Cesar initially had $2,500 in savings.

Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.

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Answer:

C

Step-by-step explanation:

180 - 42 - 38 = 100

Answer:

8 x 2.24 = 17.92

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Are you trying to find the price of 1 pencils?

If Yes The Answer is below.

Answer:

0.28

Step-by-step explanation:

To find the price of 1 pencils.

Divide 2.24 by 8 which gives you 0.28

Therefore the price of 1 pencils is 0.28

Answer and Step-by-step explanation:

Solution:

Given:

V = 2π cm3

We know that:

2π = πr2h

2π / πr2 = h

Which gives: h = 2 / r2

Minimize surface area = 2πrh + 2πr2

S = 2πrh + 2πr2

Put h = 2/ r2 in surface area, we get:

S = 2πr (2/ r2 ) + 2πr2

S = 4 π / r + 2πr2

Therefore, s(r) = 4 π / r + 2πr2

Differentiate concerning r, we have

S’(r) = -4π / r2 + 4πr

Again differentiate concerning r, we have:

S”(r) = 2 x 4 π/ r3 + 4π

For s’(r) = 0

0 = -4π / r2 + 4πr

-4π + 4πr3 = 0

r3 = 1

r = 1 cm

and s”(1) > 0 at r = 1 is point of minima.

So h = 2 π / π x1 x1

  = 2cm

Therefore minimum surface area the can should have a radius of 1cm and height of 2cm.

The rational function in the simplest form of (f/g)(x)  is x / 5x - 2.

Composite functions are when the output of one function is used as the input of another. A typical example of a composite function is (f/g)(x).

Therefore, let's solve the rational function in the simplest form.

Hence,

f(x) = -x

g(x) = -5x + 2

(f/g)(x) = f(x) / g(x)

Therefore,

(f/g)(x) = - x / -5x + 2

Hence,

(f/g)(x) = - x / - (5x - 2)

Finally,

(f/g)(x) = x / 5x - 2

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

5.907 km

Step-by-step explanation:

2.783 km + 3.124 km = 5.907 km

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

I plotted it out on the graph and here it is:

Answer:

=======================

Let the side of the cube be a.

Then its surface area is:

Find the side of the cube:

Find the volume of the cube:

Answer:

The solution to the system of equation is the point which the two lines meet.

Explanation:

Given the system of equation;

To plot the linear graphs, le us derive two ordered pairs on each equation;

Graphing the points we have;

Therefore, the solution to the system of equation is the point which the two lines meet.

Answer: {t| t ≥ 2}

Step-by-step explanation:

3t - 6 ≥ t - 2

-t         -t

---------------------

2t - 6 ≥ -2

   +6    +6

---------------------

2t ≥ 4

t ≥ 2

Answer:

slope = - 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (11, - 17) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table

m = \(\frac{1-(-17)}{2-11}\) = \(\frac{1+17}{-9}\) = \(\frac{18}{-9}\) = - 2

Answer:

60,000 / 600 = 100

Step-by-step explanation:

Given the value : 66,666

In expanded format:

60,000 + 6,000 + 600 + 60 + 6

Where 60,000 (ten thousand place); 6,000(one thousand place) ; 600 ( hundred place) ; 60(ten) ; 6( unit)

Hence, to correctly compare the thousand place and the hundred place, we take the ratio of the highest thousand and hundred pace in the vue given ;

Highest thousand = 60,000

Hundred = 600

60,000 / 600 = 100

Step-by-step explanation:

which equation correctly compares the hundred thousand place and ten thousand place in 555555

Answer:

\(y=-11\)

Step-by-step explanation:

So we have the equation:

\(y-3(2y-7)=76\)

First, distribute the -3:

\(y-6y+21=76\)

Combine like terms on the left:

\(-5y+21=76\)

Subtract 21 from both sides:

\(-5y=55\)

Divide both sides by -5:

\(y=-11\)

So, the value of y is -11.

And we're done!

The volume of the bottle is 56.52 cubic inches, and the density is 22.12 g/in³.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 ).

Density is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given that:

Diameter = 3 in

Radius r = diameter/2 = 3/2 = 1.5 in

Height h = 8 in

Mass m = 1250 g

Find the volume:

V = π × r² × h

V = 3.14 × (1.5 in )² × 8in

V = 56.52 in³

Find the density:

p = m / v

p = 1250g / 56.52 in³

p = 22.12 g/in³

Therefore, the density is 22.12 g/in³.

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The height of the tree is equal to 210 ft to the nearest foot using the sine rule.

The sine rule is a relationship between the size of an angle in a triangle and the opposing side.

angle opposite of the tree = 56 - 26 = 30

angle opposite of the shadow = 180 - 90 - 56= 34

by application of sine rule:

sin 30/h = sin 34/235

h = (235 × sin 30)/sin 34 {cross multiplication}

h = 117.5/0.5592

h = 210.1216 ft.

Therefore, the height of the tree is equal to 210 ft to the nearest foot using the sine rule.

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Answer:

The answer is D: 130

Step-by-step explanation:

(3x-28) +90+(66-x) = 180

2x + 128 = 180

2x = 52

x = 26

Therefore Angle AOE = 90 + (66-26)

= 130

Answer: G=36

Step-by-step explanation:

Step 1: Write out the equation
1/4g-3=6

Step 2: Add 3 to both sides
1/4g=9

Step 3: Divide both sides by 1/4, or 0.25
G=36

Answer:

A). 55

Step-by-step explanation:

Number of Variegated Fritillaries for each year is

2009 = 7

2010= 95

2011= 63

The sum total of the samples= 7+95+63

The sum total of the samples= 165

Number of years= 3

The average= total/number of years

The average= 165/3

The average= 55

Answer: A

Step-by-step explanation: I have a massive brain (•-*•)

Answer:

0.0036246476

Step-by-step explanation:

I am very confuse you get solve yourself

The count of numbers in the list a, a+1, a+2.... b is b - a + 1

The list of numbers is given as:

a, a+1, a+2.... b

From the above list, we can see that the numbers are consecutive numbers.

This means that, the count of numbers in the list is

Count = Highest - Least + 1

Where

Highest = b

Least = a

Substitute the known values in the above equation

Count = b - a + 1

Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1

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Answer:

Step-by-step explanation:

the concepts are confusing of what a function is.   f(x)  seems mysterious , huh

it's just a way to give a label to some set of terms.  Just think of it as a name of a person, but in a generic sense, like   hey "guy"   or hey "gal"  you can address many people that way.  f(x) is doing that same thing addressing by a name,  a set of math terms.  

a)  

in a)  we are addressing the g(x) function and we are also sending that function the number -2 as an input. so find the g(x) function and put in (-2) everywhere that there is an "x" , so

g(x)=\(x^{3}\)-3\(x^{2}\)+2x + 11

g(-2) = \((-2)^{3}\)-3\((-2)^{2}\)+2(-2)+11

g(-2) = -8 -3(4) - 4 +11

g(-2) = -8 -12 -4 + 11

g(-2) = -24 + 11

g(-2) = -13

b)  

h(-1)  find the h(x) function and input a negative 1 where ever there is an x

h(x) =

h(-1) = \((-1)^{2}\) - 3

h(-1) = 1 - 3

h(-1) = -2

c)

for c)  just combine like terms of the two given functions

g(x) - h(x)  =  \(x^{3}\)-3\(x^{2}\)+2x + 11 - (\(x^{2}\) - 3)

g(x) - h(x)  = \(x^{3}\)-3\(x^{2}\)+2x + 11 - \(x^{2}\) + 3

g(x) - h(x)  = \(x^{3}\)-4\(x^{2}\)+2x + 14

d)

-2f(x) - h(x) = -2(3x + 2) - (\(x^{2}\) - 3)

-2f(x) - h(x) = -6x - 4 - \(x^{2}\) + 3

-2f(x) - h(x) = -6x - 1 - \(x^{2}\)

-2f(x) - h(x) = - \(x^{2}\) - 6x - 1

e)

f(h(x))  this gets a bit more confusing b/c it's  a composition of functions,  that's just a fancy way of saying the functions are nested. one inside the other.

f(x) = 3x + 2

h(x) = \(x^{2}\) - 3

plug h(x) in to f(x) where ever there is an x in f(x)   , luckily there is only one x in f(x)  :)

f(h(x)) = 3(\(x^{2}\) - 3) + 2

f(h(x)) = 3\(x^{2}\) - 9 + 2

f(h(x)) = 3\(x^{2}\) - 7

f(h(x)) = 3\(x^{2}\) + 0x + (-7)  

f)

f(x) = 3x + 2

g(x) = \(x^{3}\)-3\(x^{2}\)+2x + 11

f(g(x)) = 3(\(x^{3}\)-3\(x^{2}\)+2x + 11) + 2

f(g(x)) = 3\(x^{3}\)-9\(x^{2}\)+6x + 33 + 2

f(g(x)) = 3\(x^{3}\)-9\(x^{2}\)+6x + 35

Hope that helps :)

Answer:

D

Step-by-step explanation:

y-7 = -1/2 (x-(-2)

y-7 = -1/2 (x+2)

y -7 = -1/2 x - 1

y = -1/2 x -1 +7

y = -1/2 x + 6