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3 years ago

What is 6.338 rounded to the nearest hundredth

Mathematics

1 answer:

azamat3 years ago

3 0

Answer:

6.34

Step-by-step explanation:

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the school newspaper has a circulation of 500 and sells for $.035 a copy. the students decide to raise the price to increase the

Alik [6]

Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is

$.35+.05x$

Let y be the newspaper they sell, then the income will be

$y(.35+.05x)$

Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be

$y=500-20x$

Plugging the value of y in the first expression we have that the income will be

$\begin{gathered} f(x)=(500-20x)(.35+\text{0}.5x)=175+25x-7x-x^2 \\ =-x^2+18x+175 \end{gathered}$

Then the income is given by the function

$f(x)=-x^2+18x+175$

To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,

$\begin{gathered} \frac{df}{dx}=\frac{d}{dx}(-x^2+18x+175) \\ =-2x+18 \end{gathered}$

no we equate the derivative to zero and solve for x.

$\begin{gathered} \frac{df}{dx}=0 \\ -2x+18=0 \\ -2x=-18 \\ x=\frac{-18}{-2} \\ x=9 \end{gathered}$

This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then

$\begin{gathered} \frac{d^2f}{dx^2}=\frac{d}{dx}(\frac{df}{dx}) \\ =\frac{d}{dx}(-2x+18) \\ =-2 \end{gathered}$

Since the second derivative is negative in the point x=9, we conclude that this value is a maximum of the function.

With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.

Therefore the price to maximize the income is $0.35+$0.45=$0.80.

4 0

1 year ago

After 2 years, Deion earned $270 in simple interest from a CD into which he initially deposited $6000. What was the annual inter

shusha [124]

I=prt
When I want to find the rate
r=I/pt so
R=(270/6000*2)*100==2.25%

6 0

3 years ago

Read 2 more answers

Math help please? There are 12 more toy cars than toy trucks in a box with a total of 38 toy cars and toy trucks. How many toy t

dlinn [17]

Let, the number of toy trucks = x
Then, number of toy cars = (x + 12)

Now, we have: x + x+12 = 38
2x + 12 = 38
2x = 38 - 12
2x = 26
x = 26/2
x = 13

So, there are 13 toy trucks in total.

Hope this helps!

7 0

3 years ago

Juma earns $12.50 for each newspaper subscription he sells. He also earns $50 base salary each week. If he wants to earn $400 ne

Mandarinka [93]

He would need to sell 28 because
12.50*28=350 and 350+50=400

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3 years ago

You have been saving $25 a week to make the trip; you now have $200. This money will be budgeted to include gas, food, and enter

Pavel [41]

Domain is 25 & 200
Range is 175

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2 years ago