Josh's gross pay was 320.00 this week. How much in FICA will be withheld from his check

Answers

Answer 1

Answer: Given:
gross pay for the week: 320

FICA - Federal Insurance Contribution Act
Social Security Tax = 6.2% of his wages
Medicare Tax = 1.45% of his wages

SST = 6.2% * 320 = 19.84
MT = 1.45% * 320 = 4.64

Total FICA withheld = 19.84 + 4.64 = 24.48

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What is an equation of the line that passes through the points (-2,-8) and has a slope of 3?

Answers

The equation of the line that passes through the point (-2,-8) with a slope of 3 is y=3x-2

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.Which product should Tomas choose?

A) (2x + 1)(2x2 + 2x – 1)
B) (2x + 1)(4x3 + 2x – 1)
C) (2x + 1)(4x2 – 2x + 1)
D) (2x + 1)(2x2 – 2x + 1)

Answers

General form: a^3 + b^3 = (a + b) (a^2 -ab +b^2)

Now replace with a= 2x, b = 1

(2x)^3 + 1^3 = (2x + 1) [ (2x)^2 -(2x)(1) + 1^2) = (2x + 1) (4x^2 - 2x + 1)

Therefore, the answer is the option C)

(a+b)(a²-ab+b²)
(2x+1)((2x)²-(2x)(1)+1²)
(2x+1)(4x²-2x+1)

C is answer

Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges. Part A: write equations to represent Company A's and Company B's total charges for cleaning number windows. Define the variable used in the equations.

Part B: which company would charge less for cleaning 8 windows? Justify your answer.

Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows?

Answers

Part A
Company A: c=6w+12
Company B: c=5w+15
c=cost w=# of windows
Part B
Company A: c=6(8)+12 c=$60
Company B: c=5(8)+15
c=$55
So Company B is the cheaper option by 5 dollars.

Part A:
y is how much they charge in total
x is the amount of windows
Company A is (6*x)+ 12= y
Company B is (5*x)+15=y

Use a double or half angle identity to find cos (7π/12). Provide the exact answer in simplest form (no approximations)

Answers

$(√(6) + √(2))/4$ . cos( $7 \pi /12$ ) is the same thing as cos(π/3 + π/4) and then you use the formula cos(a + b) = cos(a)cos(b) + sin(a)sin(b)

Which of the following situations MAY cause someone to use substitution, in order to solve a system of equations?A. An exact solution is not needed.
B. One of the equations may easily be solved for a variable.
C. An exact solution is needed.
D. Both of the equations are solved for one variable.

Answers

If you want to substitute, you need to solve an equation for a variable. I ONLY use this method if I can easily solve one equation for a variable, and then it is a maybe. For this case use B

Someone please do these i don't understand

Answers

Each chair or table requires between 0.2 and 1 gallon of paint to be painted.

What is the equivalent expression?

Equivalentexpressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

To find out how many gallons of paint are used to paint each piece of furniture, we need to divide the total amount of paint used by the total number of pieces of furniture.

Let x be the amount of paint used to paint one chair or table, in gallons.

Then, for 20 chairs and 5 small tables, the total amount of paint used is:

4 gallons = 20x + 5x

Simplifying this equation, we get:

4 gallons = 25x

Dividing both sides by 25, we get:

x = 0.16 gallons

Therefore, it takes 0.16 gallons of paint to paint each chair or table. Since we are looking for whole numbers, we can round this to the nearest whole number to get:

0.16 gallons ≈ 0.2 gallons

Hence, each chair or table requires between 0.2 and 1 gallon of paint to be painted.

To learn more about the equivalent expression visit:

brainly.com/question/2972832

#SPJ1

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