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Nesterboy [21]
3 years ago
14

Montrell saves 8% of each paycheck for his college fund. This week he saved $18.80 from his paycheck, how much was he paid?

Mathematics
1 answer:
castortr0y [4]3 years ago
8 0
8% of x = $18.80
x = 18.80/8%
x = 18.80/0.08
x = $235
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Bobby wants to go on a school trip that will cost him $250. He comes up with an equation that represents how much he needs to sa
monitta
Yes, Bobby will have enough money if he saves for 9 weeks. You can find this through either substituting w for 9 in the equation, or solving the equation itself. 

Substituting:

25(9)+30
Substitute w for 9. 

225+30
Simplify. 

225+30=255
Solve. 

255 is greater than 250, so yes, he will have enough money saved. 


Solving the equation:

25w+30=250
Original Equation

25w=220
Subtract 30 from both sides. 

w=8.8
Divide both sides by 25. 

The number of weeks he needs is 8.8. When rounding it up, you get 9. 


4 0
3 years ago
A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study
Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write R=PC.

Per price increase is $20. So four price increase is $20*4=$80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4*2=8 customers are reduced. Hence, total customers is 30-8=22.

So Total Revenue is:

R=180*22=3960


B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R=(100+2x)(30-2x)=-40x^{2}+400x+3000


C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as x=-\frac{b}{2a}, where a is the coefficient of x^{2} and b is the coefficient of x. So we have,

x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5*20=100. So the price that gives the greatest revenue is 100+100=200.

ANSWERS:

A. $3960

B. R=-40x^{2}+400x+3000

C. $200

4 0
3 years ago
Which of the following is the third value for the data set below
Tcecarenko [31]

Answer:

Step-by-step explanation:

Ur mom

8 0
3 years ago
Elda has a rectangular piece of paper with an area of 0.12m squared. She cuts this piece of paper into small rectangles each wit
Lisa [10]
The maximum number is 6. 

7 0
3 years ago
Help help help help (question 6)
garik1379 [7]

Answer: I got C.

Step-by-step explanation: I squared both 3.9 and 9.7 which gave me 109.3. Then, I square rooted it and got 10.45 which rounds to 10.5. Hopefully, this is right.

8 0
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