A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue = price x number of backpacks.)

A. $9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
B. $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
C. $12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
D. $15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.

Answers

Answer 1
Answer: Letter C has the highest revenue so we will just have to check if it is correct.

-2(12.50)+50 = 25
Revenue = price x number of backpacks
Revenue = 25 x $12.50
Revenue = $312.50

So, letter C is the correct answer.
Answer 2
Answer:

Answer:

$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

Step-by-step explanation:

It's c, i got it right on edge


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41,004 mL = _____ cm3

5(x-6)+ 3x = 3/4(2x-8)

Answers

Answer:

x = 3.69 (3 significant figures)

Step-by-step explanation:

5(x - 6) + 3x = 3/4(2x - 8)

5x - 30 + 3x = 1.5x - 6

5x + 3x - 1.5x = 30 - 6

6.5x = 24

x = 3.6923 (5 significant figures)

x = 3.69 (3 significant figures)

Use the definition of exponential notation to demonstrate why 2^3*4^3=2^9

Answers

exponential notation allows the representation of numbers in shorter form.
(2 x 2 x 2)(4x4x4) = 2x2x2x2x2x2x2x2x2
2^3*4^3=2^9 

8*4^3=2^9 

8*64=2^9 

8*64=512 

512=512 

Infinitely Many Solutions

HELP I HAVE 5 MIN TO TURN THIS IN!!!!!!!!!!!!!!!!!!!!!!!!!!!!What are the simplified versions of the expressions shown below??

WILL MARK BRAINLIEST!!!!!!!!!!!!
(11, 15, and 18 don't count)

Answers

Answer:

hi....see the pic...that's the answer....my name is Sayan....my account dp pic is my mom .. please follow me....

Assume that a student attends a four-year college with tuition costs of $20,000 per year, room and board costs of $5,000 per year, and books/entertainment costs of $1,000 per year. If the student did not go to college, she would work at a job that pays $25,000 per year but still face the same room and board and entertainment expenses. The opportunity cost of attending college for this student for four years is:

Answers

Answer:

$180,000.

Step-by-step explanation:

We have been given that a student attends a four-year college with tuition costs of $20,000 per year, room and board costs of $5,000 per year, and books/entertainment costs of $1,000 per year. If the student did not go to college, she would work at a job that pays $25,000 per year but still face the same room and board and entertainment expenses.

We know that opportunity cost is the profit lost, when one alternative is selected over another.

Opportunity cost of attending college for 4 years would be amount lost from job in 4 years plus amount spent on studies because the student lost $25,000 for four years for not doing the job and spent $20,000 for 4 years on studies.

4(\$25000+\$20,000)=4(\$45,000)=\$180,000

Therefore, the opportunity cost of attending college for this student for four years is $180,000.

Final answer:

The opportunity cost of attending college for four years is $100,000.

Explanation:

The opportunity cost of attending college for four years is the value of the best alternative that the student foregoes by choosing to attend college. In this case, the student could have worked and earned $25,000 per year instead of going to college. So, the opportunity cost for four years would be $25,000 * 4 = $100,000.

Learn more about Opportunity Cost here:

brainly.com/question/32971162

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What is the value of x? 4x - 9 = 27

Answers

4x-9=27
4x=27+9
4x=36:4
x=9
The answer is: 9
=>4x - 9 = 27=>4x = 27 + 9=>4x = 36=>X = 36/4=>X = 9 ...Hope it helps!!!

My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild.Determine all possibilities for the ages of my grandparents’ grandchildren.

Answers

Answer:

The possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34

Step-by-step explanation:

The given parameters are;

The number of grandchildren in the family = 4

The product of the ages of the four grand children = 67184

The age of the youngest grandchild < 10

The age of the oldest grandchild = 30 + The age of the youngest grandchild

Let a represent the age of the youngest grandchild, and let b, and c represent the ages of the other two intermediate grandchild

Therefore, we have;

a < 10

The age of the oldest grandchild = a + 30 < 10 + 30

∴ The age of the oldest grandchild < 40

The product of the ages of the four grandchildren = a × b × c × (a + 30) = 67184

The factors of 67184 that are between 1 and 40 are;

1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38

Taking a = 8, we have;

The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 8 × 38 = 342

Therefore. a × b = 67184/(a × (a + 30) = 196.44

Therefore, a ≠ 8

For a = 4, we have the age of the oldest grandchild = a + 30 =  4 + 30 = 34

The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 4 × 34 = 136

Therefore. a × b = 67184/(a × (a + 30) = 494

We find that the other factors of 67184, which are 19 and 26 have a product of 494

Therefore, the possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34

To give, 4 × 19 × 26 × 34 = 67,184.