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Sonja [21]
2 years ago
11

Using a System to Break Even

Mathematics
1 answer:
andreev551 [17]2 years ago
8 0

Answer: P^2 - 10p + 24 = 0

Step-by-step explanation:

Given that a company’s weekly revenue, in thousands, is modeled by the equation

R = -p2 + 14p,

where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.

If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.

Therefore,

-P^2 + 14p = 4p + 24

Collect the like terms

-P^2 + 14p - 4p - 24 = 0

-P^2 + 10p - 24 = 0

Multiply all by minus sign

P^2 - 10p + 24 = 0

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A square of side length s lies in a plane perpendicular to a line L. One vertex of the square lies on L. As this square moves a
user100 [1]

Answer:

Part (A) The required volume of the column is s^2h.

Part (B) The volume be s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}.

Step-by-step explanation:

Consider the provided information.

It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.

Also One vertex of the square lies on L.

Part (A)

Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.

This square moves a distance h along​ L, and generate a​ corkscrew-like column with square​.

The cross section will remain the same.

So the cross section area of original column and the cross section area of twisted column at each point will be the same.

The volume of the column is the area of square times the height.

This can be written as:

s^2h

Hence, the required volume of the column is s^2h.

Part (B) What will the volume be if the square turns twice instead of once?

If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.

s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}

Hence, the volume be s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}.

5 0
3 years ago
what is the value of the largest 2 digit whole number whose digits have a product of 6?---please explain!!
loris [4]
~Hello There!~

Product means they multiply to make 6
Think of numbers that multiply to make six:
1 x 6
6 x 1
3 x 2
2 x 3
The largest out of those is clearly 6 x 1 which makes 61

Hope This Helps You!
Good Luck :)
Have A Great Day ^_^

- Hannah ❤
3 0
3 years ago
Read 2 more answers
-54 - 7r = -5(-2 - 5r)
makkiz [27]
-54-7r=10+25r
-7r-25r=10+54
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r=64/-32
r=-2
3 0
3 years ago
How many three-digit numbers can be formed under each condition?
Leokris [45]

Answer:

(a) 900

(b) 648

(c) 180

(d) 600

Step-by-step explanation:

If there are no restrictions, there are 10 possible values for each digit of a three-digit number.

(a) The leading digit cannot be zero

There are 9 options for the first digit and 10 for the remaining digits.

n=9*10*10 = 900

(b) The leading digit cannot be zero and no repetition of digits is allowed.

n=9*9*8=648

(c) The leading digit cannot be zero and the number must be a multiple of 5.

If a number is a multiple of five, it must end in 0 or 5

n=9*10*2=180

(d) The number is at least 400.

If the number is at least 400, the first digit can only be 4, 5, 6, 7, 8 or 9. There are no restrictions for the remaining digits.

n=6*10*10=600

8 0
3 years ago
Claire's mom found a very good price on a large computer monitor. She paid $325 for a monitor that was only $65 more than the or
zhenek [66]
The answer is 260 dollars more
8 0
3 years ago
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