Revenue, profit and expenses are all integral parts of a company's balance sheet
The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160The expense function is given as:
[tex]\mathbf{E = 8q + 12000}[/tex]
The demand function is given as:
[tex]\mathbf{p = -10p + 20000}[/tex]
(a) The expense in terms of q
This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]
(b) The expense in terms of p
Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]
[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]
Expand
[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]
[tex]\mathbf{E = -80p + 172000}[/tex]
(c) The revenue in terms of P
This is calculated as:
[tex]\mathbf{R = p \times q}[/tex]
So, we have:
[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]
Expand
[tex]\mathbf{R = -10p^2 + 20000p}[/tex]
(d) The profit in terms of p
We have:
[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]
So, the profit P is calculated as:
[tex]\mathbf{P =R - E}[/tex]
This gives
[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
(e) The price that yields maximum profit
In (d), we have:
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
The maximum price is calculated using:
[tex]\mathbf{p = -\frac{b}{2a}}[/tex]
Where:
[tex]\mathbf{b =20080}[/tex]
[tex]\mathbf{a = -10}[/tex]
So, the equation becomes
[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]
[tex]\mathbf{p = 1004}[/tex]
Hence, the price that yields the maximum profit is $1004
(f) The maximum profit
In (e), we have: [tex]\mathbf{p = 1004}[/tex]
Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]
[tex]\mathbf{P =9908160}[/tex]
Hence, the maximum profit is $9908160
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for a brainlist let me know asap if i am correct
and pls explain
Answer:
A
Step-by-step explanation:
What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x
hope this help
pls mark as brainliest
HELPPPPPPP plssssssss
Answer:
The length of FB IS D) 7 units
PLEASE HELP! ;-;
A particle rotates in a clockwise motion according to the equation x=3cos(0.2t+0.813) what is its frequency?
Answer= [ ? ] hertz
The particle has a frequency of 0.032 hertz.
The particle experiments a sinusoidal motion, whose mathematical model is described below:
[tex]x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)[/tex] (1)
Where:
[tex]x[/tex] - Current position, in meters.[tex]x_{o}[/tex] - Initial position, in meters. [tex]\omega[/tex] - Angular frequency, in radians per second. [tex]t[/tex] - Time, in seconds.[tex]\phi[/tex] - Angle phase, in radians.The frequency ([tex]f[/tex]), in hertz is defined by this formula:
[tex]f = \frac{\omega}{2\pi}[/tex] (2)
By direct observation on the formula described in statement we find that [tex]\omega = 0.2\,\frac{rad}{s}[/tex], then we find the frequency of the particle by (2):
[tex]f \approx 0.032\,hz[/tex]
The particle has a frequency of 0.032 hertz.
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can you HELP PLZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give 50
The product of 3542 and 8 using the partial product is 28,336
To create a partial product of the value using an array, we will follow the following steps
Draw an array or a boxBreak the given integers into values that can be easily worked with. For instance, 3542 can be broken down into (3000+500+40+2)Take the product as shown below;[tex]3542\times8=(3000+500+40+2)\times 8\\3542\times8 = 3000(8) + 500(8) + 40(8) +2(8)\\3542\times8=24000+4000+320+16\\3542\times8=28000+336\\3542\times8=28,336[/tex]
Find the array box attached
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Camelle manages her soccer team. she needs to order 4 practice jerseys for each player. There are y players how many total practice jerseys does she need to order?
write and expression
Answer:
T= total # of jerseys to order
y= # of players
T= 4*y
Total equals 4 times # of players
T= 4y
simplify:
5 1/12 - 2 3/4 =
Express your answer as a mixed number.
Answer:
Mixed Number Form: 2 1/3
Step-by-step explanation:
Find m<2
See picture for full problem. Please and thank you!
Step-by-step explanation:
as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so
to find its 3rd angle apply angles sum property on it
according to which
2(68) + x = 180
136 + x = 180
x = 180 - 136
x = 44°
also we know, the other triangle is right angled triangle
so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)
therefore to know measure of angle 2 apply angle sum property of triangle in it too.
so,
90 + 44 + angle 2 = 180
134 + angle 2 = 180
angle 2 = 180 - 134
angle 2 = 46°
therefore, angle 2 is 46°
hope this answer helps you dear!
Substitution Property of Equality
Reflexive Property of Equality
Addition Property of Equality
Division Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Angle Addition Postulate
Pick 1 for each blank PLS HURRY!!!!
A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places
Answer:
38.30
Step-by-step explanation:
because 230 -6x=0
Please help ( WILL MARK BRAINLIEST)
Answer:
The bottom right
*you won't see it yourself that the answer is correct because you are working on and iReady test friend*
Step-by-step explanation:
If you map out the shape in your head and slowly fold up the flaps, then you get a rectanglular prism.
lily likes to collect records. Last year had 12 records in collection. Now has 15 records. What is the percent increase of collection?
Answer:
25% increase in records
Step-by-step explanation:
25% = 1/4
1/4 of 12 = 3
she got 3 new records, therefore a 25% increase
PLZ HELP DUE SOOOONNNN (solve for z).
Answer:
[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Step-by-step explanation:
Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :
The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:
[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]
[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]
4x = 3yz²
Next, divide both sides by 3y:
[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]
[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]
Lastly, take the square root of both sides to isolate the variable, z :
[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]
[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Therefore, the equation for z is: [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Mary places a 15-foot ladder against her house. The base of the ladder is 3 feet from her house How high up to the nearest tenth of a foot, the ladder reach on Mary's house?
taking math test plz help
Answer:
Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.
What is nearest tenth?The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.
The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.
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A restaurant bill is $25.80. How
much is a 20% tip for this bill (NOT
the total)?
Answer:
25 pesos 80 pw
pesos I'm not sure
Step-by-step explanation:
25. 80
Mai skated x miles, and Clare skated farther than that. Write an expression for the distance Clare skated. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Whats the answer?
Answer:
X over y or x/y since y is claire and she skated more
Step-by-step explanation:
Pls brainliest
How would 1.047 be written as a percentage form?
Answer:
104.7%
Step-by-step explanation:
When changing a decimal to a percentage, simply move the decimal point to the right two place values to obtain your percentage:
1.047 = 104.7%
And vice versa, when changing a percentage to a decimal, move the decimal point to the left two place values to obtain your decimal.
~
Rodrigo is taking a road trip. He plans to drive 2,471 miles, with an average of 230 miles per day.
Which equation represents Rodrigo's remaining miles, y, in terms of the number of days, x?
y=2,471x−230y is equal to 2 comma 471 x minus 230
y=−230x+2,471y is equal to negative 230 x plus 2 comma 471
y=2,471x+230y is equal to 2 comma 471 x plus 230
y=230x+2,471y is equal to 230 x plus 2 comma 471
Answer:
y= 2,471x - 230y because each day he travels the same average distance of 230 miles
Answer:
230 miles that is the answer
someone please help meeeee! I don't know what the solution is!
Answer:
(2,4)
Step-by-step explanation:
Answer:
(2,4)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?
Answer:
4.2
Step-by-step explanation:
simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.
The unit rate or rate of change of gallons per week will be 4.2 gallons/week.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
12 gallons in every 20 days,
The unit rate per day will be as,
12/20 = 0.6 gallons per day
It is known that, 1 week = 7 days,
Unit rate per week = 0.6 x 7 = 4.2 gallons/week
Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".
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g (r)=-5r+13
g(3) Evaluate Functions
Answer: Algebra. Evaluate the Function g (3)=-5r+13. g(3) = −5r + 13 g ( 3) = - 5 r + 13. Replace the variable r r with 3 3 in the expression. g(3) = −5⋅3+13 g ( 3) = - 5 ⋅ 3 + 13. Simplify the result. Tap for more steps... Multiply − 5 - 5 by 3 3. g ( 3) = − 15 + 13 g …
Step-by-step explanation: sorry if this does not helps please give me brainly
A litter of puppies consists of black puppies and white puppies. A
puppy is randomly selected and removed from the litter. Then another
random selection is made from the remaining puppies.
Event A: The first
selection is a black
puppy.
Event B: The second
selection is a white
puppy.
Is A dependent on B?
We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.
So the situation is:
We have a group of puppies, some are black, some are white.
Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:
n₁ + n₂ = N
Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:
q = n₁/N
Then now we have:
N - 1 puppies in total.n₁ - 1 black puppiesn₂ white puppies.Now for the second selection, event B, the probability of selecting a white puppy is:
P = n₂/(N - 1)
Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.
So clearly event B depends on event A.
Now the question is:
Is A dependent on B?
No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.
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Please help and explain. You don't understand it very well.
Answer:
y = (-1/2)x + 2
Step-by-step explanation:
The black line slopes down as we move from left to right, so we conclude that the slope is negative. From (0, 2) to (4, 0), y drops by 2 units (the rise) and x increases by 4 units (run).
Thus the slope is m = rise / run = -2/4, or m = -1/2.
The y-intercept is (0, 2), so the value of b in the equation y = mx + b is 2.
Thus the equation of this line is y = mx + b => y = (-1/2)x + 2
how does adding with decimals cpmpare to adding whole number
Answer:
Add decimals the same way as whole numbers, taking care to align the decimal points. Equivalently, align the ones because every number has ones.
Step-by-step explanation:
Can someone please help me?
75 POINTS
Answer:
1. 8
2. 4
3. 5
4. 8/125
5. 4/3
6. 6
7. 8
8. 2
Step-by-step explanation:
This is true believe me I checked each one :)
Determine the domain of each graph:
Answer:
The 1st
Domain is (1,-3)
The second
Domain is (R)
The 3rd
Domain = (R)
The 4th
Domain =(-1,+infinity )
Respectively
What is determinant ?
Answer:
In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.
Answer:
It's a quantity obtained by the addition of products of the elements of a square matrix which is according to a given rule.
Can someone explain or help me with this?
Answer:
Step-by-step explanation:
6085 rounded to the nearest hundred is 6100
51,672 rounded to the nearest ten thousand is 50,000
Explain what someone has to do to get a good credit rating.
Answer:
The key to developing a great credit score is not a formula, but there are certain general recommendations that may be followed. Make on-time payments on your debts on a consistent basis. One strategy to ensure that your payments are made on time is to set up automated payments or electronic reminders for your accounts. If you've fallen behind on your payments, get up to date and remain up to date.
Step-by-step explanation:
Hope it helps if this is what you mean;)
x^3 - 3x^2 + 4x - 12
Answer:
(x^2 + 4)(x - 3).
Step-by-step explanation:
I'm guessing you want to factor this.
You can do it by grouping:
x^3 - 3x^2 + 4x - 12
= x^2(x - 3) + 4(x - 3)
= (x^2 + 4)(x - 3).
