calculate the social security and Medicare deductions for the following employee (assume a tax rate of 6.2% on $128,400 for social security and 1.45% for Medicare)
cumulative earnings before this pay period: $409,100
pay amount this period: $8,800​

Answer:

x = 1.6 or [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

12x - 11 = 2x + 5

Add 11 to both sides,

12x - 11 + 11 = 2x + 5 + 11

12x = 2x + 16

Subtract 2x from both sides,

12x -2x = 2x - 2x + 16

10x = 16

Divide both sides by the same factor (in this cas the factor is 10),

[tex]\frac{10x}{10} =\frac{16}{10}[/tex]

[tex]x=\frac{8}{5}[/tex]

x = 1.6 or [tex]\frac{8}{5}[/tex]

A proportion is a comparison between two ratios.

A ratio is a proportion between two numbers.

To write a proportion, create two comparisons with two numbers and set them equal to each other.

We're given:

Write two ratios:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}[/tex]

[tex]\dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Set them equal to each other:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Answer:

i believe the rate of change is 1/1 or just 1.

there is also 1 graph only?

The first sentence is correct.

Answer: We were surprised when my cousin jason attended our family reunion.

Step-by-step explanation: I took the k12 quiz and got it right.

Answer:

72 yd²

Step-by-step explanation:

area of this figure = area of 1st rectangle + area of 2nd rectangle

= l×b + L×B

= 6 × 5 + 14 × 3

=30 + 42

= 72 yd²

Answer:

the answer c 72 yd2

Step-by-step explanation:

Answer: Angles 6 and 7

Step-by-step explanation:

These angles form a linear pair, and angles that form a linear pair are supplementary.

Answer:

$1.50

Step-by-step explanation:

There are 4 3-month periods in a year.

$45,000 per 3 months period × 4 = $180,000 cost

$180,000 ÷ 120,000 subscribers = $1.50

The banner ad costs about $1.50 per subscriber

Answer:

4

Step-by-step explanation:

If the shapes are similar we can use the side length proportion to find the value of x:

7/91 = x/52 cross multiply expressions

91x = 364 divide both sides by 91

x = 4

Answer:

50.24

Step-by-step explanation:

Area=R^2*PI

OR
Area-R*R*PI

So, Area=4*4*3.41

=50.24

Answer:

1,661.1

Step-by-step explanation:

A= 3.14 x (23 x 23)

3.14 x 529= 1,661.06

1,661.1

Answer:

5

Step-by-step explanation:

a²+b²=c²

In this case c is 13 and b is 12

a²+12²=13³

a²+144=169

Subtract 169 and 144 to find a

169-144=25

The square root of 25 is 5

Using the vertex of the quadratic equation, it is found that the stone reaches a maximum height of 221.0625 ft after 3.5625 s.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, considering initial velocity of v(0) = 114 and an initial height of h(0) = 18, the equation is:

h(t) = -16t² + 114t + 18.

Which is a quadratic equation with coefficients a = -16, b = 114, c = 18.

Hence:

[tex]x_v = -\frac{114}{2(-16)} = 3.5625[/tex]

[tex]y_v = -\frac{114^2 - 4(-16)(18)}{4(-16)} = 221.0625[/tex]

Hence, the stone reaches a maximum height of 221.0625 ft after 3.5625 s.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

Answer:

The value of f(11) is 9.

The function of a given term is a form of an expression where element of the domain consists of a unique identity and each input value of a function is allocated to only one output value.

From the parameters given;

we are to replace x with 11 wherever we see x

∴

f(11) = 9

Step-by-step explanation:

Answer: 0.125

Step-by-step explanation:

Add up the probabilities in the other ones and subtract that sum by 1, since 0 boys is out remaining answer

Answer:

C

Step-by-step explanation:

just imagine that they are folding and what they would fold into.

this kind of question is a memory test.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

Answer:

(b)(b)(b)(b)(b)(b)

Step-by-step explanation:

[tex](b^3)^2=b^6[/tex]

(b)(b)(b)(b)(b)(b)

Answer:

Step-by-step explanation:

(b^3)^2

= b^(3*2)

= b^6

= b*b*b*b*b*b.

Answer:

  (c)  0

Step-by-step explanation:

Each of the terms in the expression represents a different transformation of a different trig function. Expressing those as the same trig function can make it easier to find the sum.

__

We can start with the identity ...

  cos(x) = sin(x +π/2)

Substituting the argument of the cosine function in the given expression, we have ...

  cos(π/2 -θ) = sin((π/2 -θ) +π/2) = sin(π -θ) = -sin(θ -π)

__

The first term, sin(π +θ), is a left-shift of the sine function by 1/2 cycle, so can be written ...

  sin(π +θ) = -sin(θ)

The second term is the opposite of a right-shift of the sine function by 1/2 cycle, so can be written ...

  cos(π/2 -θ) = -sin(θ -π) = sin(θ)

Then the sum of terms is ...

  sin(π +θ) +cos(π/2 -θ) = -sin(θ) +sin(θ) = 0

The sum of the two terms is identically zero.

Answer:

Both answer is C

Step-by-step explanation:

30:20

3:2

Thus, (24/3)×2

=16 inch

Use the sam method by making ratio first, then compare to the second figures and substitute the value in first figure

Answer:

  (0, 80)

Step-by-step explanation:

The y-intercept is the value of the function when x=0. For a polynomial in x, setting x=0 effectively eliminates all of the variable terms, leaving only the constant term.

__

The y-intercept is the constant: 80. The coordinates of the y-intercept point reflect the fact that x=0 there: (0, 80).

Answer:

I'm suggesting that you should read your books!!!

You should be more thoughtful...

Answer:

Part A) x = 6, 13, 22, 33

Part B)

Some examples of perfect squares are 9, 16, 25, and 36. They are the squares of 3, 4, 5, and 6. To generate these values, add x to 3 and plug these numbers into an equation:

√(x + 3) = 3

√(6 + 3) = √9

x = 6

√(x + 3) = 4

√(13 + 3) = √16

x = 13

√(x + 3) = 5

√(22 + 3) = √25

x = 22

√(x + 3) = 6

√(33 + 3) = √36

x = 33

1. (6, 3)

2. (13, 4)

3. (22, 5)

4. (33, 6)

I hope this helps!

Answer:

Yes

Step-by-step explanation:

Yes, because the remainder of f(x) is 0

Answer:

4/3

Step-by-step explanation:

correct this answer

Answer:

389.017 cm³

Step-by-step explanation:

Given:

The volume of a cube is the cube of the side length.

Substitute the side length of the cube to determine the volume of the cube.

⇒ V = (s)³

⇒ V = (7.3)³

⇒ V = (7.3)(7.3)(7.3) = 389.017 cm³

Answer: 389.017

Step-by-step explanation: I just took the test.

Step-by-step explanation:

question no. 21 answer

8 units

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

By using Distance formula ~

[tex]\qquad❖ \: \sf \: \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

[tex]\qquad❖ \: \sf \: \sqrt{ ( - 8 - ( - 8)) {}^{2} + ( - 8 - 5) {}^{2} } [/tex]

[tex]\qquad❖ \: \sf \: \sqrt{0 + ( - 13) {}^{2} } [/tex]

[tex]\qquad❖ \: \sf \: \sqrt{169} [/tex]

[tex]\qquad❖ \: \sf \:13 \: \: units[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

The distance between the points is 13 units

Answer:

y=[tex]5^{8}[/tex]

Step-by-step explanation:

An exponential equation is in the form y=[tex]a^{x}[/tex] where a is the base and x is the exponent.

If 5 is the base then it would replace a, and if it 8 was the exponent it will replace x.

Answer:

Length = 8+7 = 15

Width = 8

Step-by-step explanation

                      Length = x+7 , x+4

Width = x ,x+2

(x+7) x = (x+4)( x+2)

expand and simplify x =8

Answer:

3/5

Step-by-step explanation:

7/5 / 7/3 = 3/5

Answer:

3/5

Step-by-step explanation:

First we make both fractions into improper fractions/top-heavy fractions:

1 2/5 = 7/5

2 1/3 = 7/3

Now we use the rule of KFC (keep flip change):

Keep the first fraction:

7/5

Change the sign to opposite:

÷ → ×

Flip the second fraction:

7/3 → 3/7

Now we multiply the fractions:

7/5× 3/7 = 7×3/5×7 =

21/35

Now we simplify this fraction to simplest terms:

Both the numerator and denominator can be divided by 7 :

3/5

So this is our final answer

Answer:

1. 3.33

2. 8.75

3. 4.8

4. 2.5

Step-by-step explanation:

divide the numbers.

Answer:

blank1: 00110001 00111001 00110010

blank 2: 00110001 00110110 00111000

blank 3:00110001

blank 4:00110101