The gross income of David Vaughn is $785 per week. His deductions are $42.25, FICA tax; $90.33, income tax; 2% state tax; 1% city tax; and 3% retirement fund. What is his net income for one week?
Answers
Minus the following
=> 42.45 dollars fica tax
=> 90.33 dollars = income tax
=> 2% state tax which is equals to 15.7 dollars
=> 1% city tax which is equals to = 7.85 dollars
=> 3% retirement fund equals to = 23.55 dollars
Total = 179.88 dollars
=> 785 dollars - 179.88 = 605.12 is his weekly net income.
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Question 5 (6 points) Write the equation of the line that passes through (1,3) and (-2,9)
Answers
(9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) - (5 × 4 × 3 × 2 × 1)
(72 × 42 × 20 × 6 × 1) - (20 × 6 × 1)
(3024 × 120 × 1) - (120 × 1)
(362880 × 1) - (120 × 1)
362880 - 120
362760
Answers
Answer:
7
Step-by-step explanation:
4x+12-2x=26
Or, 2x=26-12
Or, 2x=14
Or, x=7
Answers
Answer:
Yes, I can help what do you need???
Step-by-step explanation:
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.
Answers
Answer:
c yw
Step-by-step explanation:
Answer:
The answer is either a or c .
Step-by-step explanation:
Answers
Answer:
Change produced in cone is greater than change produced in cylinder.
Step-by-step explanation:
Given : A cylinder and a cone start with the same radius and height.
We have to find which change produces a greater increase in volume.
We know Volume of cylinder =
and Volume of cone =
Where r is radius and h is height.
Let r' and h' denotes new radius and new height
Consider Cylinder first ,
The radius of the cylinder stays the same, but the height of the cylinder is doubled.
that is r' = r and h' = 2h
Then Volume of new cylinder becomes,
Volume of cylinder =
that is
Now, Consider Cone, we have,
The radius of the cone is then tripled, and the height of the cone is cut in half.
r' = 3r and h' =
Thus, The volume of new cone becomes,
Volume of cone =
that is
Thus, Change produced in cone is greater than change produced in cylinder.
Original cone = (1/3)π(h)r^2
Changed cone = (1/3)π(h/2)(3r)^2
= (1/2)(1/3)π(h)9r^2
= (9/2) * Original cone
=4.5 * Original cone
Cylinder:
Original cylinder = π(h)r^2
Changed cylinder = π(2h)r^2
=2 * Original cylinder
Therefore the cone is the greatest relative increase in volume.
Answers
No, the lengths 3, 4, and 9 cannot form the sides of a triangle.
What is Triangle Inequality?
The triangle inequality is a fundamental geometric principle that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
We have sides as 3, 4 and 9.
For a triangle to be valid, the sum of the lengths of any two sides must be greater than the length of the third side.
In this case, let's check if this condition is satisfied:
3 + 4 = 7
7 is less than 9
Therefore, these lengths do not satisfy the triangle inequality theorem, and a triangle cannot be formed with side lengths 3, 4, and 9.
Learn more about triangle inequality theorem here:
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Answer:
yes
Step-by-step explanation: