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ioda
3 years ago
14

an employee has an annual salary of $48,700. they receive $1,530 in health insurance and $2,810 in paid time off per year. they

drive their personal vehicle for work which costs them $500 per month, but the company reimburses them $0.53 per mile for the total work miles driven. if the employee drives 9,000 miles for work for the year, what will be their total employment compensation?
Mathematics
2 answers:
Tema [17]3 years ago
7 0
Annual salary = 48, 700
Health Insurance= 1530
Paid time off= 2810

Employment compensation= Annual salary+Health Insurance + Paid time off
                                           = 58700+1530+2810
                                            = 53,040
Expenses= Vehicle cost per year-  reimbursement
                 =(500*12)-0.53*9000
=6000-4770
=1230 per year
Total compensation= 53,040-1230
                               = 51810 dollars

Anna [14]3 years ago
6 0
Compensation for the year:$51,810(deducting vehicle expense)

An employee makes 48,700+1,530(health insurance)+2,810(paid time)=

53,040.  Also they receive 0.53 per mile x 9,000 miles=4,770

53,040 +4,770=57,810(employment compensation)

Personal work vehicle expense: 500 x 12 months=6,000

57,810 - 6,000= 51,810
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Answer:

u = 16

Step-by-step explanation:

Given

\frac{3}{4} u = 12

Multiply both sides by 4 to eliminate the fraction

3u = 48 ( divide both sides by 3 )

u = 16

6 0
3 years ago
Patrick wants to buy a rug for a section of his living room. When he approaches a rug vendor, which measurement would be most ap
Kazeer [188]
Usually, rugs have a rectangular shape, therefore the section of the living room that Patrick wants to cover is a rectangle.

The area of a rectangle can be found by multiplying the length and the width of the rectangle:
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Hence, the most appropriate measurements Patrick should provide are the length and the width of the section of his living room he wants to cover.

8 0
3 years ago
Can someone please help!!!
RideAnS [48]

Answers:

  • System 1:  x = 3 and y = -5
  • System 2: x = 1 and y = 2

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

Explanation:

For now, let's focus on system 1.

We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.

  • The x terms subtract to 7x-x = 6x
  • The y terms subtract to 0 and go away
  • The right hand sides subtract to 11 minus (-7) = 11-(-7) = 11+7 = 18

After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.

Once we know x, we can find out y.

7x+2y = 11

7(3)+2y = 11

21+2y = 11

2y = 11-21

2y = -10

y = -10/2

y = -5

or we can say

x+2y = -7

3+2y = -7

2y = -7-3

2y = -10

y = -10/2

y = -5

We should lead to the same y value either way. This helps confirm we have the correct x value.

Overall, the solution to system 1 is (x,y) = (3, -5)

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

Now onto system 2.

Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.

The new equivalent system is

\begin{cases}7x+2y = 11\\-2x+2y = 2\end{cases}

Now we have the same situation as before: Subtract straight down, solve for x.

  • The x terms subtract to 7x-(-2x) = 7x+2x = 9x
  • The y terms go away when subtracting
  • The right hand sides subtract to 11-2 = 9

So we have 9x = 9 and that solves to x = 1.

We'll use this x to find the y value.

7x+2y = 11

7(1)+2y = 11

7+2y = 11

2y = 11-7

2y = 4

y = 4/2

y = 2

Or you could pick on the second equation

-x+y = 1

-1+y = 1

y = 1+1

y = 2

6 0
2 years ago
Danielle wants to buy a magazine for $11. The sales tax is 5%. How much would the total cost of the magazine be with tax include
dimulka [17.4K]

Answer:

$11.55

Step-by-step explanation:

If we convert the percentage to 1.05 and multiply it by 11, it's 11.55.

7 0
2 years ago
A scalene triangle can be equilateral. A. True B. False
barxatty [35]
No, It should be false. Because the scalene triangle it cannot be unequilateral.

Hope it helped you.

-Charlie 

Have a great day!

:)
6 0
3 years ago
Read 2 more answers
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