Please help!!! (Look at picture)

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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Answer:

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:

\(P=3S+5H\)

The restriction for cloth can be written as:

\(S+2H\leq500\)

The restriction for metal can be written as:

\(2S+3H\leq600\)

The restriction for wood can be written as:

\(4S+7H\leq800\)

The condition for S and H to be positive is:

\(S, H \geq0\)

Step-by-step explanation:

We have an objective function that, in this case, we want ot maximize.

This function is the Profit (P).

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:

\(P=3S+5H\)

We have 3 restrictions, plus the condition that both S and H are positive.

The restriction for cloth can be written as:

\(S+2H\leq500\)

The restriction for metal can be written as:

\(2S+3H\leq600\)

The restriction for wood can be written as:

\(4S+7H\leq800\)

The condition for S and H to be positive is:

\(S, H \geq0\)

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  3·sin(66°)/sin(38°)

Step-by-step explanation:

Put the given values into your Law of Sines equation and solve for BC.

  sin(66°)/BC = sin(38°)/3

  3·sin(66°) = BC·sin(38°) . . . . . multiply by 3·BC

  BC = 3·sin(66°)/sin(38°) . . . . . divide by sin(38°)

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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Answer:

32.5

Step-by-step explanation:

For triangles you need to do base times height divided by 2

Answer:

Number 2: 32.5 square feet

Step-by-step explanation:

The formula for the area of a triangle is 1/2(base)(height)

In this case, our base is 13 ft and our height is 5 ft so we plug in those values into our formula

A = 1/2(13)(5) = 32.5

Therefore our area is 32.5 square feet.

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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You have the following information:

- Kendra earns $6 per hour she babysit.

- Kendra has already $50.

- Kendra wants to buy a phone of $350

In order to determine the equation that represents how many hours Kendra needs to complete $350, name the number of hours she babysit as h. Then, for h hours of work she earns 6h dollars.

The total money Kendra will have for h hours will be 50 + 6h, and she needs to have $350.

Hence, you have the following equation:

6h + 50 = 350

To determine how many hours she needs to work, you solve the previous equation for h:

6h + 50 = 350 subtract both sides by 50

6h = 350 - 50

6h = 300 divide by 6 both sides

h = 300/6

h = 50

Hence, she needs to work 50 hours to have $350

Answer: 6h + 50 = 350; 50 hours

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

Step-by-step explanation:

Parallel lines have same slope

The line parallel to y = 3x + 2 has a slope of 3

Explanations must show the difference between outcomes (the technical term is that they be contrastive). Explanations may be incomplete; they can show one or two specific selected causes, and not necessarily the complete cause of an event.

Answer:

ace hardware store

Step-by-step explanation:

Ace is the place with the helpful hardware folks!

Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the following 3 points:

x      y

-56   66

-42   58

-28    50

Check the slope of two line segments between the three points:

(58 - 66)/(-42 - (-56))

= -8/14

= -4/7

(50 - 58)/(-28 -(-42))

= -8/14

= -4/7

As the slopes are the same, the 3 points are on a straight line with slope of - 4/7:

y = -4x/7  + C

Substitute x = -28 , y = 50 into the equation

50 = -4(-28)/7  +  C

50 = 16 + C

C = 34

y = -4x/7  + 34

Y-intercept at x = 0:

= 34

The Results:

a) Cost of the bouncy castle for 20 children = £149

b) Number of children who went to the party = 14.

a) To find the cost of the bouncy castle for 20 children, we can substitute the number of children, which is 20, into the formula provided:

Cost = £3.65 * number of children + £76

Cost = £3.65 * 20 + £76

Now we can estimate the cost:

Cost = £73 + £76

Cost = £149

Thus, the cost of the bouncy castle for 20 children = £149.

b) To find the number of children who went to the party based on the given cost of £127.10, we can rearrange the formula to solve for the number of children:

Cost = £3.65 * number of children + £76

£127.10 = £3.65 * number of children + £76

Subtracting £76 from both sides of the equation:

£127.10 - £76 = £3.65 * number of children

£51.10 = £3.65 * number of children

Now we can divide both sides of the equation by £3.65 to isolate the variable:

£51.10 / £3.65 = number of children

14 = number of children

Therefore, the number of children who went to the party = 14.

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To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Answer:

B. 864 mm³

Step-by-step explanation:

Volume = area base x height

Area base = 48

Height = 18

Multiply:

48 x 18 = 864

Units are mm³

Answer = 864 mm³

If my answer is incorrect, pls correct me!

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-Chetan K

The volume of the prism is 864 cubic units.

To calculate the volume of a prism, we use the formula: Volume = Area of Base x Height. In this case, the area of the base is given as 48 square units, and the height is given as 18 units.

To find the volume, we multiply the area of the base by the height:

Volume = 48 x 18 = 864 cubic units.

Therefore, the volume of the prism is 864 cubic units. Since the base area is given in square units and the height is given in units, the volume is expressed in cubic units. In this case, the units are mm³ (cubic millimeters).

Thus, the proper calculation yields a volume of 864 mm³.

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Answer:

-2

Step-by-step explanation:

Y = mx+c

M here being the number in front of x

While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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Step-by-step explanation:

Area of rectangle =L×W

Width =Area

\(w idth= \frac{area \ }{length} \\ \\width = \frac{ {y}^{2} + 4y - 45}{y + 9} \\ \\ = \frac{(y - 5)(y + 9)}{(y + 9)} \\ \\ width = y - 5\)

Answer:

C

Step-by-step explanation:

The scale on both the x and y axes has 1 unit divide into 4 parts.

Then 1 part is one quarter of 1 , that is 0.25 and 2 parts = 0.5

The point with coordinates (0.25, - 0.5 ) is point C

Answer:

D

Step-by-step explanation:

-0.81 is a high negative correlation, which means the y is decreasing with x increasing, which means y(the number of broken glass) decreases when x(amount of paper used) increased. So we can say that the toilet paper is surely helping.

make me brainly if you find it correct

Answer:

0

Step-by-step explanation:

forgotten sorry

Answer:

Other leg: 25 cm

Hypotenuse: 25√2 cm

Step-by-step explanation:

Hi there!

We are given a 45°-45°-90° triangle, and one leg (a side that makes up the right triangle) measures 25 cm

We want to find the length of the other sides

First, let's find the length of the other leg

A 45°-45°90° triangle is actually an isosceles triangle, and if it was to be drawn, the base angles are 45 and 45 degrees

That means the legs of the right triangle are actually the legs in the isosceles triangle as well

So the other leg is also 25 cm

Now, let's find the length of the hypotenuse, which is the side OPPOSITE from the 90° angle

You can solve for the other side using Pythagorean Theorem if you wish, however, there is a shortcut to finding the hypotenuse

In a 45°-45°-90° triangle, if the length of the legs are a, then the hypotenuse is a√2 cm

So that means the length of the hypotenuse in this case is 25√2 cm

Hope this helps!

Answer:

The correct answer is H: c=2A/h-b

Step-by-step explanation:

A=1/2(b+c)h

Multiply both sides by two: 2A=(b+c)h

Divide both sides by h: 2A/h=b+c

Subtract b: 2A/h+b=c

The reciprocal is 0.0125 or just 16/5, reciprocal means the opposite

Answer:

16/5 or 3 1/5

Step-by-step explanation:

A reciprocal is when you flip the numerator and denominator, so if you flip 5/16 it would be 16/5 or 3 1/5 :)

The numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

From the given question, we are to order the given numbers from the greatest to least.

The given numbers are

-49

-1/5

0.5

4

-1.2

15/5

First, we will convert the fractions to decimal or whole number

-1/5 = -0.2

15/5 = 3

Now, we will order the numbers from the greatest to the least

4 > 3 > 0.5 > -0.2 > -1.2 > -49

That is,

4 > 15/5 > 0.5 > -1/5 > -1.2 > -49

Hence, the numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

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All work and answers are provided in the attached screenshot! :)

Have a great day! :)