Carol's Steakhouse, the total cost of serving 150 customers per day is $900. Carol is interested in increasing her business, but is concerned about the effect on marginal cost.
Carol successfully increases her business to 200 customers per day. However, her total cost for doing so is 50% greater than the expected $1,600. What percent greater is the actual marginal cost than the expected marginal cost, to the nearest full perc
Answer:
214
Step-by-step explanation:
We have been given
C1 = $900
Q1 = 259
Then c2 = $1600
Q2 = 200
M = 1600-900/50
= 14
For real,
C1 = 900
C2 = 2400
Q1 = 150
Q2 = 50
1500/50 = 30
30/14 x 100
= 214
It is greater by 214 percent
Find the matrix A of the reflection in the line L in R2 that consists of all scalar multiples of the vector.
Answer:
hello your question is incomplete attached below is the complete question
answer : 2/13 6/13
6/13 3/13
Step-by-step explanation:
Firstly we will calculate the orthogonal basis L in R^2
attached below is the detailed solution
also assuming β to be the standard ordered basis
hence the matrix A of the reflection in the Line L in R2 =
2/13 6/13
6/13 3/13
The matrix A of the reflection in line L is given by [tex]\rm A = \begin{bmatrix}\dfrac{2}{13} & \dfrac{6}{13}\\ \dfrac{6}{13} & \dfrac{3}{13}\end{bmatrix}[/tex] and this can be determined by first evaluating the value of [tex]\rm R^2[/tex] by using the given data.
The orthogonal basis L in [tex]\rm R^2[/tex] is given by:
[tex]r = [u_1,u_2] =\left[\dfrac{1}{\sqrt{39} }\binom{6}{3}, \dfrac{1}{\sqrt{39} }\binom{3}{-6}\right][/tex]
[tex]\rm T(u_1)=u_1[/tex]
[tex]\rm T(u_2)=0[/tex]
[tex]\rm [T]_r = \begin{bmatrix}1 & 0\\ 0 & 0\end{bmatrix}[/tex]
[tex]\rm Q = \dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}[/tex]
Now, matrix A is given by the formula:
[tex]\rm A=Q[T]_rQ^{-1}[/tex]
Now, substitute the value of known terms in the above equation.
[tex]\rm A = \dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}\begin{bmatrix}1 & 0\\ 0 & 0\end{bmatrix}\dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}[/tex]
Simplify the above expression.
[tex]\rm A = \dfrac{1}{{39} }\begin{bmatrix}6 & 18\\ 18 & 9\end{bmatrix}[/tex]
[tex]\rm A = \dfrac{3}{{39} }\begin{bmatrix}2 & 6\\ 6 & 3\end{bmatrix}[/tex]
[tex]\rm A = \dfrac{1}{{13} }\begin{bmatrix}2 & 6\\ 6 & 3\end{bmatrix}[/tex]
Multiply by 1/13 in the matrix.
[tex]\rm A = \begin{bmatrix}\dfrac{2}{13} & \dfrac{6}{13}\\ \dfrac{6}{13} & \dfrac{3}{13}\end{bmatrix}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/16850761
PLEASE HELP
If the spinner is spun, what are the ODDS that the pointer lands on the number 6 or greater?
Answer:
What's the spinner? How many numbers are on it?
Step-by-step explanation:
"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]
[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]
10. A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a mint expressed as a fraction? *
Answer:
1/5
Step-by-step explanation:
7/35 and that simplifies to 1/5
How would you describe the difference between the graphs of f(x) =2/3x^3 and g(x)=2/3(-x)^3
A. g(x) is a reflection of f(x) over the line y = x.
B. g(x) is a reflection of f(x) over the y-axis.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the line y = 1.
what is the sum
of the sides
Answer:
haha you thought
Step-by-step explanation:
you got baited kid
Answer:
14-032093ooooooo345034844939530985088888xbfb990822
Step-by-step explanation:
wakeupwakeupwakeupwakupwakeupwakeupwakeup
Which point is a solution to the given system of inequalities
The points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
To determine which point is in the solution set of the given system of inequalities, we need to check each point to see if it satisfies both inequalities.
A) (2, 0)
Plugging in the values of x=2 and y=0 into the inequalities, we get:
2+0 ≥ 2 which is true, and
4(2)+0 ≥ -1 which is true.
Therefore, point A (2, 0) is in the solution set of the given system of inequalities.
B) (0, 2)
Plugging in the values of x=0 and y=2 into the inequalities, we get:
0+2 ≥ 2 which is true, and
4(0)+2 ≥ -1 which is true.
Therefore, point B (0, 2) is in the solution set of the given system of inequalities.
C) (0, 3)
Plugging in the values of x=0 and y=3 into the inequalities, we get:
0+3 ≥ 2 which is true, and
4(0)+3 ≥ -1 which is true.
Therefore, point C (0, 3) is in the solution set of the given system of inequalities.
D) (0, -1)
Plugging in the values of x=0 and y=-1 into the inequalities, we get:
0+(-1) ≥ 2 which is false, and
4(0)+(-1) ≥ -1 which is false.
Therefore, point D (0, -1) is not in the solution set of the given system of inequalities.
Hence, the points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
Which point is in the solution set of the given system of inequalities?
x+y≥2
4x+y≥-1
A-(2, 0)
B-(0, 2)
C-(0, 3)
D-(0, –1)
The Alden Middle School girls' soccer team won 75% of its games this season. If the
team won 9 games, how many games did it play? Solve this problem using a table,
diagram or picture model.
Answer:
12
Step-by-step explanation:
75% = 3/4 = 9games
1/4 = 3games
4/4 = 12 games
Can someone tell me where to graph this using plots?
find a number such that five more than one half the number is three times the number
Answer:
0.5
Step-by-step explanation:
Choices would be
x = -0.4
x = 10
x = 2
X = -10
Answer:
The first one is
The second one is -
The third one is -.
The last one is
Step-by-step explanation:
ALSO I would really appreciate if you could check out our math channel. It is called Evimero Academy
Thank you so much and have a good day
2x - y = -2,X + y = -1
Answer:
x=-1, y=0
Step-by-step explanation:
Hope this is right!!
Karina needs a total of $45 to buy her mother a birthday present. She has saved 20% of the amount so far. How much has she saved
Answer:
$9.00
Step-by-step explanation:
$45.00x20%=9
Answer:
$9
Step-by-step explanation:
$45 X .2 = $9
24a – 30
____________________________________________
Answer:
6(4a-5)
Step-by-step explanation:
mark as brainly answer
thnks
Answer:
Can`t solve it you can`t put 24a-30.
Step-by-step explanation:
It is not the same term 24a is a different term than 30. you need a equal sign to even solve the equation.
Which phrase could the expression x-4 represent?
a number less than 4
the difference of a number and 4
the sum of a number and 4
four less a number
What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger than themselves?(b) 2 years older than themselves?(c) half as old as themselves?
Answer:
the correct answer is a
The correlation between the ages of husbands and wives if men always married woman who were :
(a) 3 years younger than themselves
Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables: According to our constitution, the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.Therefore, the correct answer is a.
Learn more :
https://brainly.com/question/25160894?referrer=searchResults
EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?
Answer: 6, 21, 3
Step-by-step explanation:
2:7:1
Also, 2x 7x and 1x or just x
2x+7x+x = 30
10x = 30
x=3
So the three numbers: 2(3):7(3):1(3) OR 6:21:3
A 1 3/4 inch candle burns down in 7 hours. If b represents how much of the candle, in
inches, has burned away at any time given in hours, t, write a proportional equation
for b in terms of t that matches the context.
Answer:
14 I THINK
Step-by-step explanation:
How many solutions does the system have?
Pig Race
Time (seconds)
O zero
O one
O two
O infinite
Answer:
Step-by-step explanation:
I think it's 2
The coordinate pairs could represent the the vertices of a triangles congruent to KLM?
PLEASE HELP THIS IS TIMED
Answer:
D
Step-by-step explanation:
Answer:
Your answer is D :)
Step-by-step explanation:
I hope this helped
For the function F(x) = 1/x+2, which of these could be a value of F(x) when xis
close to 2?
A 0.01
B 2
C 10,000
D -0.01
Answer:
B 2
Step-by-step explanation:
The computation of the value of f(x) in the case when x = 2 is shown below
As per the question, following function is given
F(x) = (1 ÷ x) + 2
Based on this, the x = 2
Now put the x value in the above equation
So,
= (1 ÷ 2) + 2
= (1 + 4) ÷ 2
= 5 ÷ 2
= 2.5
Hence the closet number is 2
Therefore the value of f(x) in the case when x = 2 is 2
Hence, the correct option is b.
Answer:
C. 10,000
Step-by-step explanation:
(a) 3,235 ft? is about how many m??
Answer:
If you mean m as in miles, then approx 0.61 miles.
Step-by-step explanation:
There are 5280 feet in a mile, so divide 3235 by 5280.
Answer: About 986 meters.
Step-by-step explanation: You can multiply by the unit conversion
.3085 m/1 /ft × 3235ft = 986.028
Or divide 3235/3.281 Same thing. Round to "about 986 meters."
A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the slope of the regression line?
A:For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
B;For each increase in number of procrastination days by 1, the predicted grade decreases by 96.5 points.
C;For each increase in grade by 1 point, the predicted number of procrastination days decreases by 96.5 days.
D:For each increase in grade by 1 point, the predicted number of procrastination days decreases by 3.64 days.
Answer:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Step-by-step explanation:
The slope of a Regression Line
A straight line can be represented in the slope-intercept form:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope describes how fast and in what direction the graph goes when x changes values.
If m is positive, increments in x imply increments in y.
If m is negative, increments in x imply decrements in y.
The regression line is:
ŷ = –3.64x + 96.5
Where:
x = the number of procrastination days
ŷ = the predicted grade
We can say the slope is m=-3.64. This means that:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Pretty sure the guy above me is right, although I have not checked on edge.
(A) For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
kinda sucks how theres nothing for stats on here but i hope to help a little =================================
if you're looking for "What is the predicted grade of a student who procrastinated for 2 days?" as-well, the answer for that seperate question is (C) 89.22 .
=================================
ED2021
Please help thank you
Answer: 3
Step-by-step explanation:
simply divide 1200 by 400. :)
While printing material from the Internet, Greg used 10 pages of paper from a package of 500 sheets of paper. What percent of the paper did he use?
Answer:
2%
Step-by-step explanation:
The percentage of paper used is 2%
A storage bin in the corner of Joe's room has the dimensions shown below. What is the volume of the bin?
I need help with this khan academy question
8. A sum of $1200 was lent out for 2 years at S. I. The lender got $1536 in all.
Find the rate of interest p.a.
Answer: The rate of interest per annum is 64%
Can someone explain algebra with a paragraph or sum cuz ion understand
PLZZZZZ HELP MEEEEEEEE
Answer:
i am confused
Step-by-step explanation:
the bits on it is not that good to look at
