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insens350 [35]
3 years ago
7

Stephen got a new job through an employment agency. The job pays $41,236 per year. The agency fee is 15% of the first 5 weeks pa

y.
How much will Stephen pay to the agency?
Mathematics
1 answer:
KengaRu [80]3 years ago
5 0

Answer:

$594.75

Step-by-step explanation:

Given

yearly salary of Stephen= $41,236

No of weeks in a year = 52

Therefore, one week salary of Stephen = $41,236/52 = $793

to get one week salary divide total salary by number of weeks

5 weeks salary of Stephen = 5*793 = $ 3,965

agency fees = 15% of Stephen's 5 week salary

                      (15/100)*($ 3,965)  = $594.75

Therefore, Stephen has to pay $594.75 to the agency.

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2х + 5y = 6<br>x+2y = -3 <br><br>what is x?​
likoan [24]

Answer:

x = -3

In-Depth Steps:

1.) Start with the bottom equation: x+2y=-3

2.) Set x alone on one side of the equal sign. Your equation will look like 3+2y=x.

3.) Plug 3+2y in for x in the first equation. You will get 2(3+2y)+5y=6.

4.) Distribute. Your equation now looks like this: (6+4y)+5y=6.

5.) Combine like terms. You will get 6+9y=6.

6.) Subtract 6 from both sides. You get 9y=0. We can learn that Y=0.

7.) Go back to either equation and put 0 in for y.

8.) In the top equation, it would look like 2x=6 and the bottom equation would look like x=-3. We basically got our answer of x = -3, but we will plug it into the 2x=6 equation, and in-fact, we get x = -3.

8 0
4 years ago
On a certain route, an airline carries 5000 passengers per month, each paying $70. A market survey indicates that for each $1 in
Mkey [24]

Answer:

$85

Step-by-step explanation:

5000 x $70 = $350,000

4950 x $71 = $351,450

4900 x $72 = $352,800

etc.

Create an equation for the monthly revenue:

f(n) = (5000 - 50n) x (70 + n)

     = 350000 + 5000n - 3500n - 50n²

     = 350000 + 1500n - 50n²

where n is the amount the ticket price is increased from $70.

Differentiate, equal to zero and solve for n to find the value of n when the monthly revenue is at its maximum:

f'(n) = 1500 - 100n

1500 - 100n = 0

1500 = 100n

15 = n

Therefore, the maximum monthly revenue is when n = 15.

So the cost of the ticket will be 70 + n = 70 + 15 = 85

3 0
2 years ago
100 POINTS
exis [7]

Prism means two bases of equatorial triangle

So

Total area of bases

  • 2(73.2)=146.4

Total Lateral surface area

  • 3(104)
  • 312

So

TSA:-

  • 312+146.4
  • 458.4cm²

Relly made error in LSA

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2 years ago
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A + 2b = 1<br>2a + b = 8​
xxMikexx [17]

Answer:

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3 years ago
What are the multiples of 6 through 100
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6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,
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