Answer:
a. The maximum revenue Luci can make selling cookies in one day is $2,000.
b. The price she should sell the cookies for her to make the maximum revenue is $1.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000. Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
The explanation of the answer is now provided as follows:
Given;
x = −2000p + 4000 …………………………. (1)
The revenue function is obtained as follows:
R = px ……………………….. (2)
Substitute equation (1) into (2), we have:
R = p(−2000p + 4000)
R = −2000p^2 + 4000p ……………… (3)
Obtain the derivative of equation (3), set to zero and solve for p, we have:
−4000p + 4000 = 0
4000 = 4000p
p = 4000 / 4000
p = 1
From the above, p = 1 implies that the price that ensure maximum revenue is $1.
We can now answer as follows:
a. Find the maximum revenue Luci can make selling cookies in one day.
Since p = 1 implies that the price that ensure maximum revenue is $1, we then substitute p = 1 into equation (3) as follows:
R = (−2000 * 1^2) + (4000 * 1)
R = (−2000 * 1) + (4000 * 1)
R = −2000 + 4000
R = 2000
Therefore, the maximum revenue Luci can make selling cookies in one day is $2,000.
b. Find the price she should sell the cookies for to make the maximum revenue.
Since p = 1 implies that the price that ensure maximum revenue is $1 as obtained above, it therefore implies that the price she should sell the cookies for her to make the maximum revenue is $1.
is 1 +4(3x -10) -12 equivalent to -9?
At the market you can buy 6 bags of apples for$31.02. At the orchard you can get 5 bags of apples for $25.40. Which is the better deal
Buying bags of apples from orchard will be the better deal.
What is unit price?Unit price cab be found by using formula ,dividing the total price by the price of of one quantity.
Formula used for finding unit price[tex]price of one item=\frac{total price }{total number of items}[/tex]
According to the given question
At the market:
Cost of 6bags of apples=$31.02
⇒ Cost of 1bag of apples [tex]=\frac{31.05}{6} =5.17[/tex]
At the orchard:
Cost of 5bags of apples =$25.40
⇒ Cost of 1bag of apples=[tex]\frac{25.40}{5}[/tex]=$5.08
Therefore, unit price of a bag of apples from orchard is less as compared to the bag of apples from market.
Hence, buying bags of apples from orchard will be the better deal as compared to the buying bags of apples from market.
Learn more about the Unit Price here:
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1. Dilate the function p(x) = (x+2),
by (2x + 4)
Answer:
Hi how are you doing today Jasmine
Which statement explains why 49 is a perfect square?
49 can be multiplied by 49.
49 is equal to 7 plus 7
49 betweern 36 and 64
49 is equai to 7 times 7
On edge
Answer:
the statement that shows that 49 is a perfect square 49 is equal to 7 times 7
(-1,-4) and (3, -4) slope intercept equation
Answer: y = 0 - 4
Step-by-step explanation:
Identify the terms, like terms, coefficients,
and constants in 5n - 2n – 3 + n.
Answer:
5n - 2n - 3 + n
3n - 3 + n
3n + n = 3
4n = 3
N= 4 ➗ 3
N = 1.33
Step-by-step explanation:
pls help will give brainisest.
Find the length of A.
Answer:
If i'm correct I think that the length of a would be 4 because it shorter then five just by a minuscule measure .
Step-by-step explanation:
Express in the form n : 1.
Give n as a decimal.
6:4
Answer:
[tex]Ratio = 1.5 : 1[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 6 : 4[/tex]
Required
Express as [tex]n : 1[/tex]
[tex]Ratio = 6 : 4[/tex]
Divide ratio by 4
[tex]Ratio = 6/4 : 4/4[/tex]
[tex]Ratio = 6/4 : 1[/tex]
Express 6/4 as 1.5
[tex]Ratio = 1.5 : 1[/tex]
Hence, the equivalent of [tex]6:4[/tex] is [tex]1.5 : 1[/tex]
how many zeros would you need to write 10 to the power of 12 as a numeral in our base ten system
If abc=dec, b=5x and e = 45
What is x?
Answer:
9
Step-by-step explanation:
5(9)=45
Answer:
Step-by-step explanation:
a5xc=d45c
according to this equality,
x=5
The two circles have different diameters in the ratio 5:3.
(A) Calculate the radius of circle B if circle A has a radius of 35mm
(B) Calculate the area of circle A giving your answer to the nearest cm squared.
Answer:
a) 21 mm
b) 39 cm^2
Step-by-step explanation:
a) The ratio of the diameter from A to B is 5:3
Let the diameter of B be x
If 35 is the radius of A, then its diameter is 35 * 2 = 70 mm
Thus;
5/3 = 70/x
5* x = 70 * 3
5x = 210
x = 210/5
x = 42 mm
So the radius of circle B will be 42/2 = 21 mm
b) The area of circle A
Mathematically we apply the area of a circle formula here
A = pi * r^2
A = 22/7 * 35 * 35
A = 3,850 mm^2
To convert this to cm^2, we will
need to divide by 100
That would be 3850/100 = 38.5 cm^2 = 39 cm^2
will give brainliest
Which of these options are linear?
Answer:
B table
Step-by-step explanation:
The B table is a linear table because with each x value, the y value is moving steadily with addition/subtraction. Table A is moving steadily with multiplication.
EASY POINTS ASAP:
The table shows a function. Is he function linear or nonlinear ?
Find the with of a triangle as a 15 cm high in a hypogynous of a 19 cm
Answer:
This other side of the triangle is equal to about 11.7 cm
Step-by-step explanation:
In order to find out the third side of the triangle we will just use the Pythagoras Theorem.
[tex]c^{2} =a^{2} + b^{2}[/tex]
Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...
[tex]c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\[/tex]
[tex]b^{2} = 361 - 225\\b^{2} = 136\\b = \sqrt{136} \\[/tex]
And so b ≈ 11.66190
Solve for n.
6 = 2n − 2
n =
Please help like please, please 30 PTS to anyone that gets it correct+ plus brainly
Answer:
2 and 1/2
Step-by-step explanation:
Mark wants to continue using whole liters of paint and thinks he can create a mixture of green paint the is 38 liters. Evaluate Mark's thinking using mathematical reasoning.
The ratio from blue to yellow paint is 2:3
I need helpppppp ASAP
Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.
======================================================
Explanation:
The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.
Multiply both parts by x to get 2x:3x
We have 2x parts of blue paint, and 3x parts of yellow paint.
x is some positive whole number.
In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get
5x = 38
x = 38/5
x = 7.6
We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.
-------------------------
Here's another way to look at it:
Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.
Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.
We continue this process to get the following
6 liters of blue + 9 liters of yellow = 15 liters of green8 liters of blue + 12 liters of yellow = 20 liters of green10 liters of blue + 15 liters of yellow = 25 liters of green12 liters of blue + 18 liters of yellow = 30 liters of green14 liters of blue + 21 liters of yellow = 35 liters of green16 liters of blue + 24 liters of yellow = 40 liters of greenAs you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.
This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.
2.6 times 10 to the power of 21
Answer:
2.6e+21
Step-by-step explanation:
i need help with this question...
2x + 3 ≤ 13
Answer: x ≤ 5
Step-by-step explanation:
Andy found these used cars prices in the newspaper.
Answer:
11,000
Step-by-step explanation:
Average or Mean= sum of goods/ total number of goods
Average= 6,000+12,000+20,000+8,000+9,000/5
= 55,000/5
= 11,000
for what value of x is d parallel to e?
A) 20
B) 25
C) 35
D) 37
In a cookie jar containing 6 chocolate chip cookies, 8 wafer cookies and 10 double chocolate cookies, what is the probability that a person who isn't looking when they get a cookie will get a chocolate chip cookie?
Answer:
25% chance
Step-by-step explanation:
Jessica borrows $1500 at 7% simple interest per week. If she ends up owing $2235, how may weeks did it take her to pay back the loan?
a. 6
b. 7
c. 8
d. 9
e. 10
Answer:
7 Weeks
Step-by-step explanation:
Each week is 105 because 1500*.07=105
Then through the process of elimination I found it would take 7 weeks.
Can someone help me with this ???
PLEASE DON'T JUST WRITE AN ANSWER!!! I WOULD REALLY APPRECIATE A STEP BY STEP EXPLANATION SO I CAN UNDERSTAND IT MYSELF :)) <3
I've gotten this problem wrong three times and can't seem to figure out what I'm doing wrong :(
Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94.
Could someone please walk me through the process of writing two systems of equations that represents the number of each type of pie????
Let x = cost of each apple pie; y = cost of each lemon meringue pie.
Thank you thank you so so much!
Step-by-step explanation:
Since Castel sold 6 apple pies and 4 lemon meringue pies for $80, we have 6x + 4y = $80.
Also Gabriella sold 6 apple pies and 5 lemon meringue pies for $94, we have 6x + 5y = $94.
6x + 5y = $94
- (6x + 4y = $80)
=> y = $14.
Therefore 6x + 5($14) = $94, 6x = $24, x = $4.
Hence each apple pie costs $4 and each lemon meringue pie costs $14.
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
JB who weighs 50 kg sits 3 feet from the fulcrum. How far from the fulcrum must JP sit in order to
balance with JB if he weighs 35 kg?
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is
reading.
A. write the variation equation
B. If he can read 21 pages in 14 minutes, how many pages can he read in 21 minutes?
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to
its volume.
A. Write the variation equation.
B. What will happen to the pressure if the volume is reduced to half and the temperature is
doubled?
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
pasagot naman mga prii
Answer:
1) 43/10
3) p = kt/v
4) C
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
[tex]\rm d\times w = constant[/tex]
JB who weighs 50 kg sits 3 feet from the fulcrum.
Distance of JP from the fulcrum in order to balance with JB if he weighs 35 kg?
[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]
So JP must sit at a distance of about 4.28 feet from the fulcrum
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is reading.
A. write the variation equation
let the number of pages read by Ethan be p
let the number of hours he is reading be h
According to the given situation
[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]
B . According to the given condition
[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]
hence the constant of proportionality c = 1.5
So let us consider he reads p' pages in 21 minutes
[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to its volume.
A. Write the variation equation.
Let P = Pressure , V = Volume and T = Temperature
The equation is
[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]
B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?
Since the temperature is doubled and volume is halved so putting 2T and and volume V/2 in equation (3.1) we get
[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]
So the values of new pressure become 4 times the value.
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
It seems that Question 4 has an ambiguity since the equation y = k ma
does not signifies any of the option
For more information please refer to the link given below
https://brainly.com/question/17948320
What are three ways a seed can be taken from one place to another?
Answer:
The most common methods are wind, water, animals, explosion and fire. Dandelion seeds float away in the wind.
Step-by-step explanation:
Because plants cannot walk around and take their seeds to other places, they have developed other methods to disperse (move) their seeds.
Answer:
Seeds with wings
Hitchhikers
Going with the flow
help from animals
Step-by-step explanation:
The height of a triangle is 6 units less than twice the base length if the height is 18 units, what is the base length
Answer:
12 units
Step-by-step explanation:
h=2x-6
18=2x-6
24=2x
12=x
divide round and nearest hundredths place 4.05 / 0.07
Answer:
divide round and nearest hundredths place 4.05 / 0.07 the answer would be:
57.86
Np.
78=6 f please help solve ion have much time
Answer:
hii
Step-by-step explanation: