Determine whether each equation is true or false.
-5/-1 = 5
(0/-4) = 0
-3/1 = -3
- 8/0 = 0

Answer:

a) x = 798   is the quantity that maximizes the profit

b)po(x) = 401 $/unit

c)P(max ) = 636105 $

Step-by-step explanation:

The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:

R(x) = p(x) * x

R(x) = ( 800 - 0,5*x ) * x

R(x) = 800*x - 0,5*x²

The equation for the profit is:

P(x) = R(x) - C(x)

P(x) = 800*x - 0,5*x² - ( 300 + 2*x)

P(x) = 798*x - 0,5*x² - 300

a) P(x) = 798*x - 0,5*x² - 300

Taking derivatives on both sides of the equation:

P´(x) = 798 - x

If P´(x) = 0     then    798 - x = 0

x = 798   is the quantity that maximizes the profit

b) Selling price for the optimal quantity is:

p(x) = 800 - 0,5*x

p(x) = 800 - 0,5* 798

po (x) = 800 - 399

po(x) = 401 $/unit

c) Pmax = ?

P(x) = 798*x - 0,5*x² - 300    by subtitution of  x = 798

P(max) = 636804 - 399 - 300

P(max ) = 636105 $

a) The quantity that will maximize profit is [tex]100 \ units[/tex].

b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.

c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].

A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.

The given demand function,

[tex]P=800-\frac{1}{2}x[/tex]

So, the revenue function is,

[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]

[tex]\Rightarrow[/tex]Average cost is

[tex]\bar{C}=300+2x[/tex]

So, the total cost function is,

[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]

a) Profit function:

[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]

For maximum,

[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]

b) Selling Price:

[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]

c) Maximum Profit:

[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]

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Answer:

The final balance is $1,692.94.

The total compound interest is $392.94.

Step-by-step explanation:

1,300 x 0.045=___ x 6

Answer:

13/15 > 4/5 is a true stament.

Step-by-step explanation:

The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.

Answer:

The answer is 1

Step-by-step explanation:

If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.

Answer:

$930.76

Step-by-step explanation:

So if you move the decimal in the percentage over to the right by two then you have your sales tax rate in decimal form (0.065), you can then multiply that by the listed price and you'll have about 56.80675 so this number will be the sales tax price, then you may add this to the listed price and your answer will be 930.75675, then once you round up it will be $930.76.

Answer:

# 10 is 4/3 or 1 and 1/3

#11 is 4/10 or 2/5

#12 is 2 and 3/4

#13 is 36/12 or 3 and 1/12

Step-by-step explanation:

i am not 100% sure on #13 btw

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

Hey your answers on there are correct.

Step-by-step explanation:

Answer:

y=3/2x

Step-by-step explanation:

The equation of the required line as per slope-intercept form is 3x - 2y = 0.

The equation of a line that passes through points (x₁, y₁) and (x₂, y₂) is defined as:  

m = (y₂ - y₁)/(x₂ - x₁)

Here, 'm' is the slope and 'c' is the y-intercept of the given line.

Therefore, the slope of a line that passes through (6, 9) and (0, 0) is

= (0 - 9)/(0 - 6)

= 3/2

Now, the general form of a line is y = mx + c. Here, 'm' is the slope and 'c' is the y-intercept of the line.

The line passes through the point (0, 0).

Therefore, 0 = (3/2) × 0 + c

⇒ c = 0

Now, the equation of the straight line is

y = (3/2)x + 0

⇒ 2y = 3x

⇒ 3x - 2y = 0

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Answer:

81

Step-by-step explanation:

Answer:8

Step-by-step explanation:

Answer:

I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.      

Step-by-step explanation: How we would solve this problem is simple.

6 + 3 = 9  if you have to turn this into a fraction it would be 9/12 = (3/4).

hope it helps.........

Answer:

Antoine bikes for 16B miles before starting his walk.

Step-by-step explanation:

16 is that speed which is covered in B hours by bike by Antoine

Speed is defined as The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

Speed = [tex]\frac{distance}{time}[/tex]

Given,

16B+3.5W = 22 an equation in which B is time covered by bike and W is time covered by walk

Antoine travels partially by bike and partially by walk, and total covered 22

That means 16B is the distance covered by bike, and 16 is its speed.

Hence, 16 is that speed which is covered in B hours by bike.

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Answer:

d. -2

Step-by-step explanation:

they're telling you those lines are parallel there are specific knowns about the angles

since it's urgent I won't go into it, but PLS look it up it's super simple and makes sense

nonetheless this means angle 1 and angle 5 are the same value so we can set them equal

3x + 24 = 7x + 32

substract 32 from both sides

3x - 8 = 7x

substract 3x from both sides

-8 = 4x

divide 4 from both sides

-2 = x

Answer: 4.8576 × 10^19 cubic feet of water.

Step-by-step explanation:

330m * 147.2b = 48 quintillion feet.

Answer:

5 x 10^19 ft^3

Step-by-step explanation:

Answer:

Multiply 64 x 5280

Step-by-step explanation:

Answer:

64 mi/h = 93.9 ft/s I have the answer guide

Answer:

5+3

Step-by-step explanation:

5+3

Answer:

5+3=8

Step-by-step explanation:

Answer:

we're no strangers to love

Step-by-step explanation:

you know the rules, and so do I

Answer:

66.25 ft

Step-by-step explanation:

25.5 + 40.75

66.25

They are 66.25 feet away from each other.

Please let me know if I'm wrong!

Answer:

same slope

Step-by-step explanation:

if it has the same slope then the you will know the two lines are parallel

hope this helps

brainliest?

Answer:

(2x+1)x(3x-2)

Step-by-step explanation:

area  of rectangle = length * width

length = 2x+1

width = 3x-2

area = (2x+1) x (3x-2)

Answer:

who

Step-by-step explanation:

Answer:

If you get tax you should know the details of the what the tax is FOR

Step-by-step explanation:

Not enough details in question

Answer:

Step-by-step explanation:

Since the person earns over $30,000, they will be charged 20% on $30,000 plus 40% on ($47,000−$30,000)=$17,000. Hence the total amount of tax that they'd need to pay under the proposal is

Total Income Tax=$30,000×20%+$17,000×40%=$30,000×20100+$17,000×40100=$6,000+$6,800=$12,800.

Answer:

x = 5

Step-by-step explanation:

1. Combine like terms

2. Multiply by 1

3. Distribute

4. Subtract  3

5  from both sides of the equation

5. Simplify

6. Divide both sides of the equation by the same term

7. Simplify

Answer: The equation cannot be simplified any further.

Explanation: The variable(t) is greater than any number than negative five.

Plz mark brainliest:)

Answer:

Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.

Step-by-step explanation:

Answer:

701 ounces per liter

Step-by-step explanation:

it's from delta math

The required density in ounces per liter is 140 onces per liter.

The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid ounces of volume.
To determine density in ounces per liter.

Volume is defined as the ratio of the mass of an object to its density.

As given that, t weighs 5 kilograms for every 8.5 fluid ounces of volume.
1 KG = 7.0474 ounces
5kg = 35.247
8.5 fluid of ounces = 0.251 liter

Density is given as,
= mass / volume
= 35.274 / 0.251
= 140 ounces per liter.

Thus, the required density in ounces per liter is s140 ounces per liter.

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Answer: 118 is the correct degree

Step-by-step explanation:

Answer:

okay now i get it its not easy at first but look at it for a bit and yoll get it