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daser333 [38]
3 years ago
8

Javier works in a photo lab and needs to make a reduced copy of a photograph that is 8 inches long. The customer wants the copy

to have a length of 4.5 inches. Each time he presses the reduce button on the copier, the copy is reduced by 12%. Javier and his boss had an argument, because Javier claimed that pressing the button 5 times would be enough to fulfill the customer's request. His boss said that pressing the button 5 times would result in a length less than the desired 4.5 inches. Which of the following conclusions can be made?
Mathematics
2 answers:
Svetllana [295]3 years ago
7 0
The boss is correct because if you press the button 5 time knowing that if u press it one time it is going to have the photo at 7.04 inches so if you keep going by the time you get to 5 times it is going to about 4.22 so you would have had to press it 4 times which would equal 5.4 inches  
Nina [5.8K]3 years ago
5 0

Answer:

B

Step-by-step explanation:

The boss is correct about Javier having to press the button 5 times.

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Solve the proportion using cross products. Round to the nearest hundredth if necessary. $18.45/m gal = $3.60/7.5gal
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\dfrac{\$18.45}{n \text { gallon}}  =  \dfrac{\$3.60}{7.5 \text { gallon}}

Cross multiply
n \times \  3.60 = 7.5 \times \  18.45

Combine like terms
3.60n = 138.375

Find n
n = 138.375\div 360

Answer
n = 0.38 \text { (nearest hundredth)}
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3 years ago
Total profit P is the difference between total revenue R and total cost C. Given the following​ total-revenue and​ total-cost fu
gavmur [86]

Answer:

The profit function is:

P(x)=-x^2+1280x-3300

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

R(x)=1300x-x^2

And the cost function is:

C(x)=3300+20x

Then the total profit function will be:

P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

\displaystyle x=-\frac{1280}{2(-1)}=640

And the maximum profit will be:

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3 years ago
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xz_007 [3.2K]
She is wrong because she did the square root of 25 multiplied by 2, she should have just done the square root of 50.

For the second part the square root of 50 is 7.07 which rounding would equal 7.1.

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