Plse Help! I'll mark brianleist! A store sells 3000 Halloween-themed wigs at $30 each every month. For each $1 increase in price, they would sell 75 less wigs. What is the price that would minimize the store's revenue? What is the maximum revenue?
PLease show all your work, thank you

Answers

Answer 1

Answer:

$15

Step-by-step explanation:

Answer 2

The price that would minimize the store's revenue is $30 + $35 = $65 (a price increase of $35). The maximum revenue is $170,625.

To find the price that would minimize the store's revenue, we need to determine the price at which the wig sales would be maximized.

Let's assume the price increase in dollars is represented by "x" (where x > 0).

The number of wigs sold can be calculated using the given information: for each $1 increase in price, 75 fewer wigs are sold.

So, the number of wigs sold at the price of $30 + x would be 3000 - 75x.

The revenue is calculated by multiplying the price per wig by the number of wigs sold. Therefore, the revenue function (R) can be expressed as:

R = (30 + x)(3000 - 75x)

To find the price that would minimize the store's revenue, we need to find the value of x that minimizes the revenue function. We can do this by finding the critical points of the revenue function.

To find the critical points, we differentiate the revenue function with respect to x and set it equal to zero:

dR/dx = 0

Differentiating R = (30 + x)(3000 - 75x) with respect to x:

dR/dx = (3000 - 75x) + (30 + x)(-75) = 0

Expanding and simplifying:

3000 - 75x - 2250 - 75x = 0

Combine like terms:

-150x - 5250 = 0

Solving for x:

-150x = 5250

x = 5250 / (-150)

x = -35

Since x represents the price increase, a negative value of x would correspond to a price decrease. So, the price that would minimize the store's revenue is $30 - $35 = -$5 (a price decrease of $5).

However, a negative price is not practical in this context. So, we should consider the price increase instead.

Therefore, the price that would minimize the store's revenue is $30 + $35 = $65 (a price increase of $35).

To find the maximum revenue, we can substitute this price ($65) back into the revenue function:

R = (30 + 35)(3000 - 75 * 35)

Simplifying:

R = 65 * 2625

R = $170,625

Therefore, the maximum revenue is $170,625.

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Answer:

[tex]x>\frac{27}{2}[/tex]

Step-by-step explanation:

[tex]-12x-38<-200[/tex]

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divide by negative -12 on both sides of the inequality, flip the sign, and simplify

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Answer:

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Step-by-step explanation

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2x - 4y = 20
x/3 - y= 3
Solve by using substitution​​

Answers

Answer:

Step-by-step explanation:

2x-4y=20

y=-3+x/3

2x-4(-3+x/3)=20 ⇒ 2x+12-4x/3=20 ⇒ 2x/3+12=20 ⇒ 2x/3=8

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Solve the inequality,
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Answers

Answer:

k < - 11

Step-by-step explanation:

- 3k - 12 > - k + 10 ( add k to both sides )

- 2k - 12 > 10 ( add 12 to both sides )

- 2k > 22

Divide both sides by - 2 , reversing the symbol as a result of dividing by a negative quantity.

k < - 11

Hi!

----------------------------------------------------------------------------------------------------------------

-3k-12>-k+10

-3k+k>10+12

-2k>22

-k>11

Now, when we divide by a negative variable, we change the sign of our inequality:

k<-11

Hope it helps!

~SparklingFlower

-------------------------------------------------------------------------------------------------------------

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Answers

Answer:

(9x-6)(9x+6)

Step-by-step explanation:

Given the ordered pairs,
determine if JK and Lmare
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neither.
J(13, -9), K(8, 1),
L(-10, 9), M(-7, 3)

a. parallel
b. perpendicular
c. neither

Answers

Answer:

A) parallel

Step-by-step explanation:

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1+9/8-13

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slope= -2

Slope of L.

3-9/-7+10

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Answer:

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Step-by-step explanation:

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Answers

☆Answer : (X1, Y1) = (2, 1) (X2, Y2) = (6, 3)

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(6,3) = (x₂, y₂)

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Answers

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3
Let A and B be two positive integers (whole numbers). The
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Answers

Answer:

B = 60

Step-by-step explanation:

A = 36

B = 60

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

You have $814 that you want to share equally between 5 charities.

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Answers

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$814 to divide equally to 5 charities.

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-55 is the value of the expression 5m+10(m-1) when the value of m is -3.

The given expression is 5m+10(m−1).

We need to find the value of expression when m is -3.

Let's substitute the value of m=−3 into the expression 5m+10(m−1):

5m+10(m−1)

=5(−3)+10((−3)−1)

=−15+10(−4)

=−15−40

=−55

Hence, the value of the expression is -55.

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Complete question:

If m=−3, what is the value of 5m+10(m−1)?

I really need help on answering this care to give hep?
-3/10(-0.10)=

Answers

Answer:

0.03 or [tex]\frac{3}{100}[/tex]

Step-by-step explanation:

Remember to do PEMDAS. Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. That is the order and equation is done in. So, -3/10 (if this is a fraction) gets you -0.3. Then multiply that by (-0.10) to get 0.03 or 3/100.

Is it true that when we multiply a number by 3, we get the same value as if we added 6 to that number.

Answers

Answer:

True

Step-by-step explanation:

Multiplying a number by 3 will produce the same value as adding 6 to that number can be expressed algebraically as:

3x = x + 6

In order to determine whether the given statement is true, we can solve for x:

Start by subtracting x from both sides:

3x - x = x - x + 6

2x = 6

Divide both sides by 2:

2x/2 = 6/2

x = 3

Substitute the value of x into the original equality statement:

3x = x + 6

3(3) = 3 + 6

9 = 9 (True statement).

Therefore, it is true that when we multiply a number by 3, we get the same value as if we added 6 to that number.

Marcos has a bank account balance of -$42.30 at the start of the month. After he deposits $16.50, what is his new balance?​

Answers

Answer:

$25.80

Step-by-step explanation:

you have to add 16.50 to -42.30

Answer:  -$25.80

This balance is negative.

================================================================

Explanation:

Start with -42.30 and add on 16.50

-42.30+16.50 = -25.80 is the final balance

The negative balance means Marcos owes this amount of money to the bank. This is true even though he deposited $16.50; he would need to deposit another $25.80 to get out of debt (this is assuming that there aren't any other bank fees coming down the line).

We can think of -42.30+16.50 as 42.30-16.50, but then make the result negative since -42.30 has a larger absolute value compared to 16.50

Find the slope and y-intercept

Answers

Answer:

1/2 and -1

Step-by-step explanation:

Rise  = 2-1 = 1

corresponding Run = 6 -4 =2

rise/run = 1/2 = slope

So we know that when x=0 we will find the y intercept/

put them in ordered pair you will find

(6,2)

(4,1)

the next one should be (2,0)

and (0,-1)

So the y intercept is -1

Answer:

m=1/2

b=-1

Step-by-step explanation:

to find the slope, we need to see what values x and y increase by. in this table, we can see that as x increases by 2, y increases by 1. since slope is written as rise(x)/run(y), we can write the slope as 1/2.

for the y-intercept, we can use how the x and y values increase as well. we need to find the value of y when x is 0. we know that as x increases by 2, y increases by 1, so we need to do the opposite of both to find the y-intercept. this would be x decreasing by 2 and y decreasing by 1. we can make a table to find the y intercept.

x - 0, 2, 4, 6, 8, 10

y - -1, 0, 1, 2, 3, 4

we can see here that when x=0, y=-1, so that is the y intercept or b value.

Solve by elimination.

5x - 2y = 4

3x + y = 9

Answers

Answer:

x=2 y=3

Step-by-step explanation:

first multiply equation 2 with (+2)

5x-2y=4

6x+2y=18

now add equation 1 to equation 2

11x=22

x=2 now substitute x=2 in equation 1 or 2

5(2)-2y=4 10-2y=4 -2y=4-10 -2y=-6 y=3

describe the energies of electrons in an nucleus​

Answers

Answer:

The Energy of an Electron

The energy of an electron is of the same order of magnitude (is in the same range) as the energy of light. The lines in the spectrum of an element represent changes in the energy of electrons within the atoms of that element. By studying these spectra, scientists have drawn various conclusions about the behavior of electrons in atoms.

1. The energy of an electron depends on its location with respect to the nucleus of an atom. The higher the energy of an electron in an atom, the farther is its most probable location from the nucleus. Notice that we say probable location. Because of the electron's small size and high energy, we are limited in how precisely we can mark its position at any instant. We can only describe regions around the atom's nucleus within which the electron may be found.

2. In describing these regions of space, we also recognize that the energy of an electron is quantized. What does this statement mean? A property is quantized if it is available only in multiples of a set amount. If you are pouring a soft drink from a can, you can pour out as much or as little as you like. However, if you are buying a soft drink from a machine, you can buy only a certain amount. You cannot buy a half or a third of a can of soda; you can buy only a whole can or several cans. Soft drinks dispensed by a machine are available only in multiples of a set volume, or quantum. Thus, the dispensing of soft drinks by machine has been quantized.

Energy can also be quantized. If you are climbing a ladder, you can stop only on the rungs; you cannot stop between them. The energy needed to climb the ladder is used in finite amounts to lift your body from one rung to the next. To move upward, you must use enough energy to move your feet to the next higher rung. If the available energy is only enough to move partway up to the next rung, you cannot move at all because you cannot stop between rungs. Thus, in climbing the ladder, your expenditure of energy is quantized.

Step-by-step explanation:

Please mark as brain list

120 rooms were painted by 6 people over 4 days. If everyone painted the same number of rooms, how many rooms did each one paint in one day?

Answers

The answer is 5 because 6\120=20/4=5 then 5*6=120
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