Based on the prices, the willingness to pay of the students and the costs, the profits will be:
Mixed bundling = 209.Price separately = 199.Bundle Only = 202.The pricing strategy that yields the highest profit is the Mixed bundling strategy.
What is the profit from Mixed bundling?First find the willingness to pay for both the students with early classes and those without.
Student with early classes: Students without early classes:
= 73 + 53 = 63 + 103
= 126 = 166
At a mixed bundling price of 166, only students without early classes will be able to afford the bundle as their willingness to pay is 166.
Student with early classes will only take the coffee at 73 because their willingness to pay of 126 is lower than the 166 bundle price.
Profit is:
= (Bundle price + Coffee price) - (Marginal cost of two coffees + Marginal cost of banana)
= (166 + 73) - (2 x 5 + 20)
= 209
What is the profit from pricing separately?At separate only pricing students without early classes will be able to afford the both things at 166.
Student with early classes will only take the coffee at 63 because their willingness to pay of 126 won't allow them to take both items.
Profit:
= (63 + 63 + 103) - (2 x 5+ 20)
= 199
What is the profit from price separately?At a bundle only price of 126, both the students with early classes and those without early classes will be able to afford the bundle as their willingness to pay, match the price.
Profit will be:
= (126 + 126) - (2 x 5 ) for coffee - (2 x 20) for bananas
= 202
In conclusion, the woman should go with the Mixed bundling as it gives the highest profit of 209.
Find out more on pricing strategies at https://brainly.com/question/7303679.
A quantity with an initial value of 4000 grows exponentially at a rate of 0.05% every 5 decades. What is the value of the quantity after 1 year, to the nearest hundredth?
The value of the quantity after 1 year, to the nearest hundredth is 4000.00
The exponential form of an equationThe standard exponential equation is eexpressed as:
[tex]P(t)=P_0e^{kt}[/tex]
Given the following parameters
[tex]P_0=4000\\r =0.0005\\t = \frac{1}{50} =0.02 (yearly)[/tex]
Substitute into the formula to have:
[tex]P(t)=4000e^{0.0005(0.02)}\\P(1)=4000e^{0.00001}\\P(1)=4000[/tex]
Hence the value of the quantity after 1 year, to the nearest hundredth is 4000.00
Learn more on exponential equations here: https://brainly.com/question/12940982
which is a correct method for solving this equation for X
Answer:
B
Step-by-step explanation:
adding both sides will leave you at x/3=15
then diving by 3, the two 3s will cancel out and you will be left with x=15
If tanθ= 2 find cotθ using identities. This is in quad. 1.
Answer: 1/2
Step-by-step explanation:
Students from four classes are in talent show. A. There are 28 students in Ms. Fiona's class. The ratio of her student who are in the talent show to those who are not in the talent show is 2:5. How many of Ms. Fiona's students are in the talent show? B. Mr. Juan has 24 students in his class. Some of his students are also in the talent show. Explain why it is not possible for exactly 24% of the students in Mr. Juan's class to be in the talent show. C. The rest of the students in the talent show are from Mrs. Lee's class and Mr. Greg's class. • Mrs. Lee has 23 students in her class, and 7 of them are in the talent show. There are 4 more students from Mr. Greg's class than from Mr. Juan's class in the talent show. The number of students in the talent show from Mrs. Lee's class is greater than the number from Mr. Juan's class and fewer than the number from Mr. Greg's class. In all, 30% of the students in these three classes are in the talent show, Show or explain why there must be exactly 23 students in Mr. Greg's class. As part of the explanation, determine how many students from Mr. Greg's class are in the talent show
Answer:
B
Step-by-step explanation:
i had this question on my test
A consistent and dependent system is formed by the equations y = 3x + 9 and
6x – 2y = A, where A is a real number. Find the value of A.
-
Answer:
A = -18.
Step-by-step explanation:
We are given that y = 3x +9.
From this, we gather 3x - y = -9.
We then multiply both sides by 2 to get 6x – 2y = -18. Therefore, A = -18.
which list of fraction is in order from least to greatest value
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Just answer part B please! :)
Answer:
nonlinear
Step-by-step explanation:
Part B: nonlinear
The radius increases so the line is an arc going upwards not a linear line.
In other words, not a straight line.
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
A bag of fruit contains 3 apples, 2 oranges, 1 banana, and 4 pears, Gerald will randomly select two pieces of fruit
one at a time from the bag and not put them back. What is the probability that the first piece of fruit Gerald selects will be a banana and the second piece of fruit will be a pear?
Answer:
2/45
Step-by-step explanation:
The probability that a banana is picked for the first one is:
1/10
because there are 10 fruits and one of them is a banana,
Then, the second piece has to be a pear.
For this we have already picked one fruit out of the bag, which leaves 9 fruits in the bag.
There are 4 pears so the probability of picking a pear second is
4/9
To find the probability of a banana and then a pear, you want to multiply these values together
So:
1/10 x 4/9 = 4/90 = 2/45
So the probability is 2/45
9. All quadrilaterals are parallelogram. A True B. False C. Maybe D. Sometimes cial kind of na lelogram because
Answer:
B
Step-by-step explanation:
This statement is false because quadrilaterals just mean a polygon with 4 sides, but a parallelogram is a shape with two sides of opposite length. For example, a scalene quadrilateral has 4 sides, but none are the same length.
Find the volume of the prism.
Answer:
240 cm³
Step-by-step explanation:
Volume of prism= base area ×height
The base is a rectangle here, and its area has the formula of length ×breadth.
Given
length of base= 10 cm
breadth of base= 6 cm
height of prism= 4 cm
Base area
= 10(6)
= 60 cm²
Volume of prism
= 60(4)
= 240 cm³
Answer:
240 cm³
Step-by-step explanation:
Volume of a rectangular prism: l*w*h
L (length) : 10 cmW (width): 6 cmH (height): 4 cmV = l*w*h <== substitute the numbers (above) for the variables
V = 10*6*4
V = 60*4
V = 240 cm³ (cubed)
Hope this helps!
the ratio between two no is 2:3 . if the consequent is 24 the antecendent is
antecedent : 16
ratio: 2 : 3
=========
antecedent : 2
consequent : 3
=============
[tex]\rightarrow \sf \dfrac{2}{3}=\dfrac{x}{24}[/tex] [ x is antecedent ]
[tex]\rightarrow \sf 2(24)=3(x)[/tex]
[tex]\rightarrow \sf 48=3(x)[/tex]
[tex]\rightarrow \sf x= 16[/tex]
Additional information:
In the ratio, a : b Here the "antecedent is a" and "consequent is b"
Learn more: brainly.com/question/23948357molly makes 70% of her free throws. The random numbers below represent 20 trials of a simulator of two free throws, using the numbers 9 through 0
38 38 21 50 64
71 66 42 47 90
80 82 29 98 27
87 89 89 93 03
let the numbers from --- to ----- represent a successful free throw.
let the numbers from ---- to ----- represent a missed free throw.
based on the simulated results, the probability that molly makes both free throws is
----- or ------%
The random number simulator of Molly's throws is an illustration of probability.
The probability of making both free throws is 30%
How to determine the probability?From the complete question, we understand that:
The simulator is based on numbers 0 to 9
Given that she makes 70% of her free throws, then it means that 7 of the 10 numbers would represent a successful throw, while the other three would represent a missed throw
So, we have:
Let the numbers from 0 to 6 represent a successful free throw.Let the numbers from 7 to 9 represent a missed free throw.From the random numbers, she has two successful free throws in:
21 50 64 66 42 03 --- 6 numbers of 20
The probability of making two free throws is then calculated as:
P = 6/20
Evaluate
P = 30%
Hence, the probability of making both free throws is 30%
Read more about probability at:
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Stephanie has brought 12 bottles of juice to a party but there are more than 12 children. If she gives each child
3/4 of a bottle, how many children will she be able to serve?
Answer:
16 children
Step-by-step explanation:
divide 12 by .75 you get 16
hope that helps
What is the surface area of this rectangular prism?
198 in²
312 in²
396 in²
504 in²
rectangular prism with length labeled 7 inches, width labeled 6 inches, and height labeled 12 inches
Answer:
it's 396
Step-by-step explanation:
I took the k-12 quiz math Surface Area quiz
HELP IF U ACTUALLY KNOW THE ANSWER QUICK PLEASE
Answer: D
Step-by-step explanation:
16+18+19+21+21=95
95/5 is 19
95+37=132
132/6=22
Margo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inchesv
the question is attached
The electrical current, in amperes, in a circuit varies directly as the voltage. When 18 volts are applied, the current is 6 amperes. What is the current when 51 volts are applied?
Answer:
Step-by-step explanation:
6 Ampheres or 6A
Step-by-step explanation:
I = Current (unit is Amphere or A)
V = Voltage (unit is Volt or V)
R = Resistance ( unit is Ohm or Ω)
Formulas:
V=IR ; when getting the voltage
R=V/I; when getting the resistance
I=V/R; when getting the current
Solution of the Problem:
First, you have to get the resistance using the first given senario.
Distribute the given values (Voltage=15 Volts or 15V and Current= 5 Ampheres or 5A) to the formula on how to get the resistance.
R=V/I = 15 Volts/5 Ampheres
= 3 Ohms or 3Ω
Now, you have the value of the resistance which is 3 Ohms or 3Ω and the given value of voltage which is 18 Volts or 18V for the second senario.
I=V/R = 18 Volts/ 3 Ohms
= 6 Ampheres or 6A
So, the value of the current is 6 Ampheres or 6A
mark me brainliest and hope this helps!
20. You owe $1,568.00 on a credit card with a limit of $2,200.00 at an interest rate of 11.3% APR. You pay $300.00/month until it is paid off. How many months does it take you to pay it off?
- 6 months
- 9 months
- 4 months
- 7 months
Answer:
(a) 6 months
Step-by-step explanation:
The formula for figuring the monthly payment on an amortized loan can be used for finding the length of time it takes to pay off the loan.
That formula is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the number of years.
__
Using the given information, we can solve for t:
300 = 1568(0.113/12)/(1 -(1 +0.113/12)^(-12t))
1 -(1 +0.113/12)^(-12t) = 1568(0.113)/(12(300))
(1 +0.113/12)^(-12t) = 1 -(1568·0.113)/(12·300) ≈ 0.950782
Taking logs, we get ...
-12t·log(1 +0.113/12) = log(0.950782)
t = log(0.950782)/(-12·log(1 +0.113/12)) ≈ 0.448739 . . . . years
This fraction of a year is ...
(12 months/year)(0.448739 years) = 5.38 months
It will take you 6 months to pay off the loan.
Find the length of the ramp. ?
35 ft
12 ft
The length of the ramp is_____ ft.
Answer:
37 Feet
Step-by-step explanation:
We can use Pythagoras Theorem to solve this:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]35^{2} +12^{2} =c^{2}[/tex]
[tex]1225+144=c^{2}[/tex]
[tex]1369=c^{2}[/tex]
[tex]\sqrt{1369} =c[/tex]
37 = c
Answer:
37 ft
Step-by-step explanation:
Use Pythagorean Theorem for right triangles to find the hypotenuse
35^2 + 12^2 = Ramp^2 ramp = 37 ft
Evaluate the expression (3-2i)(3-2i) and write the result in the form a+bi ,where a is the real part of your answer and bis the coefficient in front of the imaginary part
Answer:
a = 5, b = -12
Step-by-step explanation:
By basic factoring, you get 9 - 12i + [tex]4i^2[/tex]. Since [tex]i^2[/tex] is simply -1, the expression evaluates to 9 - 12i - 4, which is 5 - 12i.
250 gram as a percentage of 1 kg
Hey there!
Answer: 25%
[tex] \rightarrow \: (\sf{ \frac{250}{1000} ) \times 100}[/tex]
[tex] \rightarrow \: ( \sf{0.25) \times 100}[/tex]
[tex] \rightarrow \: \sf{ = 25\%}[/tex]
Answer:
25%
Step-by-step explanation:
the quantities must have the same units
1 Kg = 1000 grams
express the quantities as a fraction and multiply by 100%
[tex]\frac{250}{1000}[/tex] × 100% = 0.25 × 100% = 25%
A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive substance. After 19 hours, 95 mg of the substance remains. How many milligrams will remain after 36 hours?
Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
__
After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
4 2 5 0
3 2 8 7
2 1 8 ?
Answer:
5
Step-by-step explanation:
The following equation models the deer population during mating season starting April 1, 2016, where m is time in months.
1053(1.23)^m = N
(a) How many deer were there on April 1, 2016?
(b) How many deer were there on May 1, 2016?
(c) What is the monthly growth rate?
(d) What is the yearly growth rate?
(e) What is the weekly growth rate?
The function N =1053(1.23)^m or 1053(1.23)^m = N is an illustration of an exponential function
The deer on April 1, 2016The function is given as:
N =1053(1.23)^m
On April 1, 2016; the value of m is:
m = 0
So, we have:
N =1053(1.23)^0
N = 1053
Hence, there are 1053 deers on April 1, 2016
The deer on May 1, 2016The function is given as:
N =1053(1.23)^m
On April 1, 2016; the value of m is:
m = 1
So, we have:
N =1053(1.23)^1
N =1295
Hence, there are 1295 deers on May 1, 2016
The monthly growth rateAn exponential growth function is represented as:
y = a(1 + r)^x
Where r represents the growth rate
By comparison; the monthly growth rate (r) is calculated as:
1 + r = 1.23
Subtract 1 from both sides
r = 0.23
Express as percentage
r = 23%
Hence, the monthly growth rate is 23%
The yearly growth rateWe have the monthly growth rate to be 23%
There are 12 months in a year.
So, the yearly growth rate is:
y = 23%^12
Evaluate
y = 0.00022%
Hence, the yearly growth rate is 0.00022%
The weekly growth rateWe have the monthly growth rate to be 23%
There are 4 weeks in a months
So, the weekly growth rate is:
m = 23%^(1/4)
Evaluate
m = 69%
Hence, the weekly growth rate is 69%
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Write each expression without the absolute value symbol.
PLEASE HELP
Step-by-step explanation:
| x - 19 + 11 | = | x - 8 |
look at the picture.
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
|(x - 19) + 11|
This can be written as,
= |x - 19 + 11|
= |x - 8|
Now,
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
Thus,
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
Learn more about expressions here:
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What is the value of x? Enter your answer in the box.
Answer:
x = 8
y = 6
Step-by-step explanation:
First and foremost, it's an equilateral triangle, therefore all sides and angles are equal.
Knowing that the sum of angle in a triangle is 180°, therefore each angle is 60°.
Then equating (7x+4)° to 60, we have that,
7x+4=60
7x=60-4
7x=56
x=56÷7
x=8.
The difference is
Part B 287
Find the product of the expressions.
Answer:
12
Step-by-step explanation:
Sandy brought 6 1/4 dozen cookies to the bake sale. Alejandro brought 1 3/4 fewer cookies than Sandy brought. Pierre brought 2 3/4 dozen fewer cookies than Alejandro brought. How many dozen cookies did Pierre bring?
Answer: 4 1/2 doezen cookies
Step-by-step explanation: just subtract. Hope this helps.
Solve by completing the square
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 8x = 33 [/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 8x +16 = 33 + 16 [/tex]
[tex]\qquad \sf \dashrightarrow \: (x + 4) {}^{2} = 49[/tex]
[tex]\qquad \sf \dashrightarrow \: x + 4 = \sqrt{49} [/tex]
[tex]\qquad \sf \dashrightarrow \: x + 4 = \pm7[/tex]
Hence, there are two solutions ~
1. when x + 4 = 7[tex]\qquad \sf \dashrightarrow \: x + 4 = 7[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 7 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 3[/tex]
2. when x + 4 = -7[tex]\qquad \sf \dashrightarrow \: x + 4 = - 7[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 7 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 11[/tex]
I hope you understood ~