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

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

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

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

Then the income is given by the function

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

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

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

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.
Answer:
The 25% discount on AED 4000 will be: 1000 AED
Step-by-step explanation:
Given
In order to determine a 25% discount on the amount AED 4000, all we need means is to multiply 25/100 or (0.25) by 4000.
i.e
Discount amount = 25% of 4000
= 25/100 × 4000
= 0.25 × 4000
= 1000 AED
Thus, the 25% discount on AED 4000 will be: 1000 AED
Answer:
C) 12.2 cm
Step-by-step explanation:
To find the area of a square, you multiply length and width, which for a square, are the same. So to find the length of one of its sides, you have to take the square root of the area.

Answer:
884736
Step-by-step explanation:
Multiply using the order of operations, from left to right.
Answer:
18. Commutative property of addition
19. Distributive property
20. Associative property of addition
Step-by-step explanation: