Answer:
The daily rate that maximizes the revenue is $40 and the maximum revenue is $9600
Step-by-step explanation:
Given
[tex]Rooms = 240[/tex]
[tex]Price= \$40[/tex]
[tex]Increment = \$2[/tex]
First, we calculate the revenue.
[tex]Revenue (r) = Price (p) * Number\ of\ Rooms(n)[/tex]
[tex]r = p*n[/tex]
Let x be the change in rate.
i.e.
For every 2x increment in price (p) i.e. p + 2x
There will be 4 fewer rooms (n) i.e. n - 4x
So, the revenue is updated as:
[tex]r = (p + 2x) * (n - 4x)[/tex]
[tex]Price = 40[/tex]
So:
[tex]r = (40 + 2x) * (n - 4x)[/tex]
[tex]Rooms = 240[/tex]
So:
[tex]r = (40 + 2x) * (240 - 4x)[/tex]
Expand
[tex]r = 40 * 240 - 40 * 4x + 2x * 240 - 2x*4x[/tex]
[tex]r = 9600 - 160x + 480x - 8x^2[/tex]
Reorder
[tex]r = -8x^2 - 160x + 480x + 9600[/tex]
[tex]r = -8x^2 +320x + 9600[/tex]
The maximum of a function is calculated as:
[tex]Max = -\frac{b}{2a}[/tex]
In: [tex]r = -8x^2 +320x + 9600[/tex]
[tex]a = -8[/tex] [tex]b = 320[/tex] [tex]c = 9600[/tex]
So:
[tex]Max = -\frac{b}{2a}[/tex]
[tex]Max = -\frac{320}{-8}[/tex]
[tex]Max = \frac{320}{8}[/tex]
[tex]Max = 40[/tex]
To get the maximum revenue;
Substitute 40 for x in [tex]r = -8x^2 +320x + 9600[/tex]
[tex]r = -8(40)^2 + 320 * 40 + 9600[/tex]
[tex]r = 9600[/tex]
The daily rate that maximizes the revenue is $40 and the maximum revenue is $9600
Sam does 11 jumping jacks in 8 seconds. If he does the jumping jacks at a constant rate, how many jumping jacks can he do in 20 seconds?
Answer:
baila como juana la cubana
Step-by-step explanation:
pls help i give brainliest if u answer early and good
Answer:
1 - BC = 5
2 - 174 (I think, im pretty sure tho)
3- 107
Step-by-step explanation:
Lets be real chief, you aren't here to learn. Ur taking test
Also, I got those numbers based on the images. The pic was kind of blurry
please answer correctly!!
Answer:
Undefined
Step-by-step explanation:
I don't know these some one help?
Answer:
I hope that's help you.
m = -7
t = 2
n = 10
THIS ONE PLEASE IM STUMPED
i need help with this badddddddddd
Answer:
She forgot to add the zero when she multiplied 27 x 50
Step-by-step explanation:
If you need one ask me I can try my best to explain
help i’ll give brainiest thing !
Answer:
Yes, it is enough
[tex]y = -3x + 16[/tex]
Step-by-step explanation:
Given
[tex]Point = (6, -2)[/tex]
[tex]m = -3[/tex]
Required
Is the given info enough to find the equation?
Yes, it is enough and the proof is as follows:
And equation is solved using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (6,-2)[/tex]
[tex]m = -3[/tex]
Substitute these values in [tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - (-2) = -3(x - 6)[/tex]
[tex]y +2 = -3(x - 6)[/tex]
Open bracket
[tex]y +2 = -3x + 18[/tex]
Make y the subject
[tex]y = -3x + 18-2[/tex]
[tex]y = -3x + 16[/tex]
From the above, one can see that the given info is enough
2/9 divided by 4????
Answer:
2/36 or simplfyed is 1/18
Step-by-step explanation:
Answer:
2/9 ÷ 4 = 2/36
Step-by-step explanation:
2/9 & 4
2/9÷4=?
2/9×1/4
=2/36
So 2/36 is equivalent fraction for 2/9 divided by 4
is 12,43 a solution of y =3x+7
Answer:
Yes it is
Step-by-step explanation:
In a group of 100 students, 40 like Computer Science (group A), 30 like Philosophy
(group B), and 20 like both (group A∩B). If a student chosen randomly likes Computer
Science, what is the probability that they also like Philosophy?
Given:
Total number of student = 40
Students who like Computer Science (group A) = 40
Students who like Philosophy (group B) = 30
Students who like both (group A∩B) = 20
To find:
If a student chosen randomly likes Computer Science, what is the probability that they also like Philosophy?
Solution:
Let the following events,
A: Student like Computer Science
B: Student like Philosophy
Now,
[tex]P(A)=\dfrac{40}{100}=0.4[/tex]
[tex]P(B)=\dfrac{30}{100}=0.3[/tex]
[tex]P(A\cap B)=\dfrac{20}{100}=0.2[/tex]
We need to find the probability that the student like Philosophy if it is given that he likes Computer science, i.e, [tex]P(\dfrac{B}{A})[/tex].
Using conditional probability, we get
[tex]P(\dfrac{B}{A})=\dfrac{P(A\cap B)}{P(A)}[/tex]
[tex]P(\dfrac{B}{A})=\dfrac{0.2}{0.4}[/tex]
[tex]P(\dfrac{B}{A})=\dfrac{1}{2}[/tex]
[tex]P(\dfrac{B}{A})=0.5[/tex]
Therefore, the required probability is 0.5.
-3 3/4+ 1/2 please help
Answer:
-3.25 or -3 1/4
Step-by-step explanation:
-3.75
+ .5
_______
5.734 rounded to the nearest whole number
Answer:
6
Step-by-step explanation:
anything over 5 you round up.
7 is greater than 5 so you round up to 6
Answer: 5
Step-by-step explanation:
If the number is 5 or more, you round it up.
It the number is 4 or less, you leave it alone.
Using this process, we eliminate the numbers .734
We get the number 5 as our answer.
Mai earns $7 per hour mowing her neighbor’s lawns. She also earned $14 for hauling away bags of recyclables for some neighbors. Priya babysits her neighbor’s children. She earns $8.40 per hour. Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of hours. How many hours do they have to work before they can go to the movies? How much will they have earned.
Answer:
5 hours for priya 4 of yard mowing and 1 bag moving and they will both earn 42 dollars
Step-by-step explanation:
Help plsssssssssss number 3
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Think of a car. when you are going 15 miles an hour that means that every hour, you are crossing 15 miles. In this situation the dolphin is going 25 km for every hour. one hour would be 25, two hours would be 50 and so on.
find the value of this expression if x=1 and y=4
xy^2/7
Answer:
2 2/7
Step-by-step explanation:
What we know:
x = 1, and y = 4
The equation is xy^2/7
1(4)^2/7
4^2/7
16/7 = 2 2/7
Bob's average golf score at his local course is 93.6 from a random sample of 34 rounds of golf. Assume that the population standard deviation for his golf score is 4.2. The 90% confidence interval around this sample mean is:_______.
a. (92.4, 94.8).
b. (89.0, 98.3).
c. (90.5, 96.7).
d. (93.2, 94.0).
Answer:
a. (92.4, 94.8)
Step-by-step explanation:
Given that:
Mean (m) = 93.6
Standard deviation (σ) = 4.2
Sample size (n) = 34
α = 90%
Confidence interval around sample mean :
Mean ± Zstatistic * s/√n
Z0.90 = 1.645 (Z probability calculator)
s / √n = 4.2 / √34 = 0.7202940
Lower limit = 93.6 - (1.645 * 0.7202940) = 92.41511637 = 92.4
Upper limit = 93.6 + (1.645 * 0.7202940) = 94.78488363 = 94.8
Name a point on this line.
y - 8 = -7(x + 1)
Question 4 options:
(-1, 8)
(-8, 1)
(8, -1)
(1, -8)
Answer: y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x + y - 8 = -7(x +
Step-by-step explanation: 8, -1)
What is the slop of the line that contains the points (0,1)and(-2,-9).write your answer as a friction in simplest from (hint:2/1 should be simplified to 2
Answer:
5
Step-by-step explanation:
To find the slope we will use the slope formula:
[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]
They give us the points of (0,1) and (-2,-9) in the equation. Let's label each thing to fit the equation:
y2 = -9
y1 = 1
x2 = -2
x1 = 0
Now, plug it all in to the equation:
[tex]\frac{-9-1}{-2-0} = \frac{-10}{-2} = 5[/tex]
Therefore, the slope is 5.
I hope this helps!!
- Kay :)
According to the Rational Root Theorem, which number is a potential root of f(x) = 938 + 946 – 12x + 7?
Answer:
938
Step-by-step explanation:
So if you are taking a quiz it's C.
The music teacher asked his class to vote for their favorite instrument and created a pie chart to display the results.
There are 20 students in his class. Which statements are true? Check all that apply.
THE ANSWER IS B,D,E,F!!!!
Answer:
bdef
Step-by-step explanation:
Answer:
b= brains b= dad e= end f= fun
Step-by-step explanation:
Samuel pays $59.99 plus $0.25 for each minute over 450 minutes for his cell phone plan. Monica
pays $64.99 plus $0.10 for each minute over 450 minutes for her cell phone plan. Which system
of equations represents this situation? Letx represent the number of minutes over 450
Answer:
D
Step-by-step explanation:
Samuel pays 59.99 for the 450 minutes but when he goes over he pays 0.25 for each minute he goes over. The same thing for Monica
The correct option is D
Given that,
Samuel pays $59.99 plus $0.25 for each minute over 450 minutes for his cell phone plan. Monica pays $64.99 plus $0.10 for each minute over 450 minutes for her cell phone plan.Based on the above information, the equation is as follows:
y = 59.99 + 0.25x
y = 64.99 + 0.10x
Learn more: https://brainly.com/question/1152162?referrer=searchResults
If y is directly proportional to x and y =1200 when x=30, then what is the value of x when y=30?
Answer:
Y= 30
X= 0.75
Step-by-step explanation:
If the first Y was 1,200 and X was 30, then that means every time your divide Y by 40, you will get your X. It's the exact opposite if you want to find Y.
So you want to divide your Y, which is 30, by 40. Once who find your answer, you should have gotten 0.75 for X.
Why divide by 40? Good question. You divide by 40 because if you multiply your X example Y= 1,200, X= 30, you will get 30x40 which is 1,200. Do it the other way around divide 1,200 by 40, you get 30.
All in all your answer should be X= 0.75. If not tell me.
Thank You For Your Time
Line g is dilated by a scale factor of 3 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related? coordinate plane with point E at negative 4 comma 0 and point F at 0 comma 2, line g intersects points E and F The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line. The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' intersect at point F. The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related. The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
Dilation involves changing the size of a shape.
The true statement is that the locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
The given parameters are:
[tex]k =3[/tex] --- the scale factor
[tex]E = (-4,0)[/tex]
[tex]F =(0,2)[/tex]
Multiply the coordinates of point E and F by the scale factor (k), to determine the new coordinates of E and F.
[tex]E' = E \times k[/tex]
[tex]E' = (-4,0) \times 3[/tex]
[tex]E' = (-12,0)[/tex]
[tex]F' = F \times k[/tex]
[tex]F' = (0,2) \times 3[/tex]
[tex]F' = (0,6)[/tex]
Given that line g is represented by points E and F; line g' would be represented by points E' and F'
So, both lines would be parallel.
Hence, the true option is (d)
Read more about dilation at:
https://brainly.com/question/3457976
Answer:
The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
Step-by-step explanation:
Plz help me with this?!?! I will mark you brainliest!!!
Answer: 2/5 liters
Step-by-step explanation: This is because you need to add 1/10 and 3/10. The answer is 4/10, which can be simplified to 2/5.
Round to the nearest thousand 5.2182
Answer:
5.218
Step-by-step explanation:
5 or more, you add one. Four or less, you change it to zero.
Tell whether (12, 43) is a solution of y = 3x + 7.
yes
no
Answer:
yes
Step-by-step explanation:
Mr. Harmin is sitting in his office on the third floor of a building. He is at an elevation of 30 feet in relation to street level. Mr. Ehrig is in the parking garage at an elevation of –35 feet, and Mrs. White is in the parking garage at an elevation of –25 feet in relation to street level. Which statements are true? Check all that apply. Mr. Harmin is closest to street level. Mr. Ehrig is at the lowest elevation. Mrs. White is closest to street level. Mr. Harmin is closer to street level than Mrs. White. Mrs. White is at the highest elevation.
Answer:
Mr. Ehrig is at the lowest elevation. AND .Mrs. White is closest to street level.
Step-by-step explanation:
plzz i need fasssssst
Answer: 1. a) 0 b) -4 2. a) 3 b) -9 3. a) -80 b) -339 c) -14 4. a) 110 b) -87
Step-by-step explanation: This took forever
The ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, how
may are trucks?
Answer:
135
Step-by-step explanation:
3+5=8. 360÷8=45. 45×3=135
If the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, then there are 225 trucks
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of cars to trucks in the parking lot is 3:5.
there are 360 vehicles in the parking lot
(360-x)/x=3/5
Cross Multiplication
5(360-x)=3x
1800-5x=3x
1800=8x
x=225
So there are 225 trucks.
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ2
The value of y varies directly with x. When y=2 2/5,x=3/5 what is the value of y when x is 4/5
A 1 1/5
B 3 3/5
C 3 1/5
D 5 1/5
Answer:
the correct ans should be 88/15
Step-by-step explanation:
since, y is directly proportional to x then,
y=kx where k=proportionality constant
when y=22/5 and x=3/5
or,22/5=k*3/5
or,22/5*5/3=k
•°•k=22/3
now, when x=4/5
we know,
y=kx
or,y=22/3*4/5
•°•y=88/15