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andrey2020 [161]
2 years ago
11

Noah received a $500 signing bonus when he accepted a job as a paralegal. If he makes $28 an hour, which equation models Noah's

total pay y in dollars as it relates to the number of hours x that he works?
A. y = 28x + 500
B. y = 500x - 28
C. y = 28x - 500
D. y = 500x + 28
Mathematics
1 answer:
sveta [45]2 years ago
4 0
A. Y= 28x + 500

The answer is A
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Step-by-step explanation:

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In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hearts, you win
lyudmila [28]

Answer:

Expected pay winning $50= $0.585

Expected pay winning $25= $2.36

Expected pay for anything else= $-4.35

Expected returns=3.59

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Do not play this game because you will lose $1.41

Step-by-step explanation:

Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013

Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118

Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869

Expected pay($50)= 0.013$(50-5)= $ 0.585

Expected pay($25)= 0.118(25-5)$ = $2.36

Expected pay for anything else= 0.869(0-5)$ =$(-4.347)

Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41

c) Do not play the game.

6 0
2 years ago
An investment of $500 increases at a rate of 12.5% per year. What is the value of the investment after 30 years? Round to the ne
NemiM [27]
Here's the equation:
0.125(500) + 500
But because it is 30 years:
30(0.125(500)) + 500
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We can make it simpler:
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Caroline knows the height and the required volume of a cone-shaped vase she’s designing. Which formula can she use to determine
timama [110]

Answer:

Option B. r=\sqrt{\frac{3V}{\pi h}}

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2} h

Solve for the radius r

That means-----> isolate the variable r

Multiply by 3 both sides

3V=\pi r^{2} h

Divide by (\pi h) both sides

r^{2}=\frac{3V}{\pi h}

square root both sides

r=\sqrt{\frac{3V}{\pi h}}

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2 years ago
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