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hammer [34]
3 years ago
12

How many times does 13 go into 80

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0
13 x 6 = 78 you cant multiply anymore so that's how many times it can go in 80.
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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
The random variable KK has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of
asambeis [7]

Answer:

E 240

Step-by-step explanation:

Geometric Distribution mean = (1- p) / p

16 = (1 - p) / p

16p = 1 - p  ;  17p = 1 ; p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280 , closest to 240

5 0
3 years ago
PLease Help! I will give you the brainiest and a lot of points!
gtnhenbr [62]

Answer:

this is the venn diagram I guess..

Step-by-step explanation:

find answer from this.. and check if it is correct

6 0
3 years ago
Factor completely 4x^2 +25+6
malfutka [58]

Answer:

Look at the explanation

Step-by-step explanation:

4x^2+25x+6

(4x+1)(x+6)

Hope this helps!

7 0
3 years ago
Read 2 more answers
Numbers expressed using exponents are called .
N76 [4]

Answer:

numbers expressed using exponents are called powers

4 0
2 years ago
Read 2 more answers
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