Answer:
a)Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]
Marginal cost function =[tex]C'x=0.1[/tex]
b) [tex]\bar{C(2000)}=0.6[/tex]
[tex]C'(2000)=0.1[/tex]
c)[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items
C'(2000)=0.1 is the marginal cost to produce 2001 th item
Step-by-step explanation:
Cost function: [tex]C(x) = 1000 + 0.1x[/tex]
a)Find the average cost and marginal cost functions.
Average cost function =[tex]\bar{C(x)}=\frac{C(x)}{x}[/tex]
Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]
Marginal cost function =[tex]C'x=0.1[/tex]
b) Determine the average and marginal cost when x = a.
a = 2000
Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}=\frac{1000+0.1a}{a}=\frac{1000+0.1(2000)}{2000}=0.6[/tex]
So, [tex]\bar{C(2000)}=0.6[/tex]
Marginal cost function =[tex]C'(2000)=0.1[/tex]
c)Interpret the values obtained in part (b).
[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items
C'(2000)=0.1 is the marginal cost to produce 2001 th item
1 2 points Krissa works as a cashier in an office supply store. The graph shows the ratio amount earned: time worked. 1 60 Amount Eamed (dollars) 30 10 2. 30 20 . TO 0 2 6 5 7 Time Worked (hours) How much will Krissa earn if she works for 7 hours? $52.50 5 $42.00 $56.00 O $37.50 гу Type here to search O a
Answer:
the answer is 56.00 dollars
Step-by-step explanation:
I did this
Please help me ...............,..
Answer:
Angle A and H are Alternate exterior angles and they are congruent.
The distance between Point P and Point Q was 3600 m. Beng Leong started jogging
at 08 35 from Point P and reached Point Q at 08 50. At the same time, Sam started
jogging from Point P at a speed of 200 m/min. Who jogged at a faster speed?
How much faster was his speed?
Answer:
Ben ran at a speed of 240m/min and Sam ran at a speed of 200m/min So Ben is faster by a rate of 40/min
Step-by-step explanation:
Ben's miles per minutes
[tex] \frac{3600}{15} = 240[/tex]
Sam's miles per minute
Given
What is |-24| + |13| =?
Answer:
37
Step-by-step explanation:
just add the two numbers like they are not negative.
If Megan's tuition, fees, and expenditures for books this year total $19,000, what will they be during her senior year (three years from now),
assuming costs rise 7 percent annually? Round Future value of a Single
Amount in intermediate calculations to four decimal places.
Answer:
$23,275.817
Step-by-step explanation:
To get this answer, multiply 19,000 by 1.07.
$19,000 x 1.07 = 20,330 (one year later)
$20,330 x 1.07 = $21,753.10 (two years later)
$21,753.10 x 1.07= $23,275.817 (three years later)
The answer round to cents would be $23,275.82
Please awnser correct, I Will give you $Brainlyest$ and pls no wRoNg AwNsErS. lol
Answer:
b
Step-by-step explanation:
A box of markers weighed 4 2/3 ounces.
If a teacher took out 4/6 of the markers,
what is the weight of the removed markers?
Answer choices 3 2/9 2 2/9 3 1/9
Answer:
i got none just me? i got 4
Step-by-step explanation:
The figure shows a pair of parallel lines
intersected by another pair of parallel lines.
Are the measures of Z4 and 214 related in
the same way as the measures of 29 and
Z7? Show your work.
Answer:
Step-by-step explanation:
m∠4 + m∠16 = 180° [Consecutive exterior angles]
m∠16 = m∠14 [corresponding angles]
Therefore, m∠4 + m∠14 = 180°
m∠7 + m∠11 = 180° [Consecutive interior angles]
m∠11 = m∠9 [Corresponding angles]
Therefore, m∠7 + m∠9 = 180°
In both the cases sum of the given angles is 180°.
Therefore, measure of ∠4 and ∠14 are related in the same way as the measurement of ∠9 and ∠7.
Question Help
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 20 min. If the current in
that part of the river is 4 km per hr, what was her boat speed in still water?
Her boat speed in still water was km per hr.
Answer:
The speed of the boat is 20 km/hr
Step-by-step explanation:
Let s be the speed of boat in still water
Let d be the distance
Upstream speed = s-4
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.
So, Distance traveled in upstream =[tex]Speed \times time =(s-4) \times \frac{30}{60}[/tex]
Downstream speed = s+4
So, Distance traveled in downstream = [tex]Speed \times time =(s+4) \times \frac{20}{60}[/tex]
So, [tex](s-4) \times \frac{30}{60}=(s+4) \times \frac{20}{60}[/tex]
30s-120=20s+80
10s=200
s=20
Hence The speed of the boat is 20 km/hr
Determine the slope of the line passing through the points (2,6) (1,6)
Answer:
0
Step-by-step explanation:
(6-6)/(1-2)=0
Answer:
The slope is zero
Step-by-step explanation:
it is zero because if you graph the two points the line is horizontal meaning that only the x value goes up as the y value stays put meaning that the slope of this line is zero
A diver swims 5.875 feet up to the surface of the water. Which number represents the diver’s position in relation to the surface before swimming to the top?
-5.9 feet
Negative 5 and three-fourthsfeet
-58 feet
Negative 5 and StartFraction 7 over 8 EndFractionfeet
Answer:
Negative 5 and 7 over 8
Step-by-step explanation:
Answer:
Negative 5 and StartFraction 7 over 8
Step-by-step explanation:
What is the solution to the system of equations?
x=-3y-6 3x+4y=2
A) (-30, 8)
B) (-18, 4)
C) (6, -4)
D) (-18, -4)
Hurry!!!!!
Rosa believes she can use a division expression to find the cost per pound of ground beef when 2/3 pound sells for $4. Which statement best explains why Rosa is correct or incorrect? A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word. B. Rosa is correct in using a division expression because the cost per pound should be less than $4. C. Rosa is incorrect in using a division expression because ""cost per pound"" refers to the product of the price and weight. D. Rosa is incorrect in using a division expression because the cost per pound must be an integer.
Answer: A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word.
Step-by-step explanation:
The term ; Cost per pound can be interpreted mathematically to mean;
Cost / pound ; where per means division. In the context above ;
cost per pound = cost of 1 pound of an item ;
(Stated Cost of the item ÷ pound of the item at the stated cost)
For the question above ;
2/3 pounds of ground beef cost $4;
Cost per pound = cost of 1 pound of ground beef ;
= $4 ÷ (2/3)
= $6
Hence, 1 pound of ground beef cost $6
Answer:
so the answer is a. 1/25 hope this helps can my reward be brainlest???
Step-by-step explanation: What is the result of 5 divided by one-fifth?
5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath.
StartFraction 1 Over 25 EndFraction
One-fifth
1
25
4
3
2
1
M
5-4-3 -2 -1 이
2345
2
3
Answer: Can you describe it a lil better than that?
Step-by-step explanation:
Earnings Statement
Employee #: 12345
Income Rate Hours
Earnings $10 40
Taxes Withheld
Social Security Medicare Federal Income Tax State Income Tax
$25 $5 $40 $20
Employer Taxes Withheld
Unemployment Ins. Social Security Medicare
$10 $25 $5
Based on the pay stub above, what are the employee's net earnings?
a. $270
b. $310
c. $340
d. $360
e. $400
Write a equivalent expression for the expression 6x-18-12y using a negative factor
Answer:
-2*(6y-3x+9)
Step-by-step explanation:
Answer:
-6(-x+3+2y)
Step-by-step explanation:
The hospital has a ratio of 8 nursing assistants to 1 m
ny, there are 6 nurses working. How many nursing assis
working today?
PLEASE HELP!?!?!
a. c + 7 less than or equal to 3
b. c – 3 > 1
c. c – 7 < 3
Matching
Match the inequality to the graph of its solution.
HI! Please answer this question! I'll mark as brainliest for whoever gets it right!
Answer:
32
Step-by-step explanation:
to get the area of a parallelogram you just do base times height
Find x. Give reasons to justify your solution
Answer: x = 28
===================================================
Explanation:
The angles COE, EOF, and FOB combine to form angle COB
angle COB = (angleCOE)+(angleEOF)+(angleFOB)
angle COB = (3x)+(x)+(x+12)
angle COB = 5x+12
----------
Angles AOD and COB are vertical angles, so they are congruent
angle COB = angle AOD
5x+12 = 152
5x = 152-12
5x = 140
x = 140/5
x = 28
Identify the focus, directrix, and axis of symmetry of x^2=64y
The general equation represented as: [tex]\mathbf{x^2 = 2py}[/tex]
The focus is [tex]\mathbf{F = (0,16)}[/tex]The directrix is [tex]\mathbf{y = -16}[/tex]The axis of symmetry is [tex]\mathbf{x = 0}[/tex]The equation is given as:
[tex]\mathbf{x^2 = 64y}[/tex]
Recall that:
[tex]\mathbf{x^2 = 2py}[/tex]
Where:
[tex]\mathbf{F = (0,\frac p2)}[/tex] --- the focus
[tex]\mathbf{y = -\frac p2}[/tex] --- the directrix
Compare [tex]\mathbf{x^2 = 2py}[/tex] and [tex]\mathbf{x^2 = 64y}[/tex], we have:
[tex]\mathbf{2py = 64y}[/tex]
Divide both sides by 2y
[tex]\mathbf{p = 32}[/tex]
Recall that:
[tex]\mathbf{F = (0,\frac p2)}[/tex] and [tex]\mathbf{y = -\frac p2}[/tex]
So, we have:
[tex]\mathbf{F = (0,\frac {32}2)}[/tex]
[tex]\mathbf{F = (0,16)}[/tex]
[tex]\mathbf{y = -\frac p2}[/tex]
[tex]\mathbf{y = -\frac{32}{2}}[/tex]
[tex]\mathbf{y = -16}[/tex]
The axis of symmetry is [tex]\mathbf{x = 0}[/tex]
Read more about equations of parabola at:
https://brainly.com/question/11911877
Which phrase describes the geometric interpretation of dividing a complex number z by i?
O Reflect z across the real axis.
O Reflect z across the imaginary axis.
O Rotate z by 90° clockwise about the origin.
O Rotate z by 90° counterclockwise about the origin.
Answer: Rotate z by 90° clockwise about the origin.
Step-by-step explanation:
Suppose we have the number z = a + b*i, that can be represented with the point (a, b) in a coordinate axis.
If we divide z by i, we have:
[tex]\frac{z}{i} = \frac{a + b*i}{i} = \frac{a + b*i}{i} *\frac{i}{i} = \frac{a*i - b}{-1} = b - a*i[/tex]
This point will be represented with the point (b, -a)
Then we have the transformation:
(a, b) ----> (b, -a)
This is a rotation of 90° clockwise about the origin.
Then the correct option is:
Rotate z by 90° clockwise about the origin.
Answer:
C
Step-by-step explanation:
rotate Z clockwize
Find the length of the segment...
NEED HELP FOR A TEST tomorrow
Answer:
The length of the segment is 5
The difference of half of a number and three is equivalent to negative five?
Answer:
-7
Step-by-step explanation:
Let the number be represented with 'Y'
Half of the number will be = Y/2
The difference of half of a number and 3
= Y/2 - 3
Is equivalent to negative 5
That is,
Y/2 - 3 = -5
y/2-3/1 = -5/1
Collect like terms
y/2 = -5/1+3/2
y/2 = -7/2
Multiply both sides by 2
y/2 ×2 = -7/2×2
Y = - 7
Hence the number is negative 7
What is the goal of solving equations?
Answer:
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable.
Step-by-step explanation:
The objective or equation would be to acquire the variables independently. A further explanation is provided below.
The objective is to address an expression by getting the component solely on a single side of this argument as well as a figure while on the other side of the same expression.Throughout the order to isolate variables, procedures that influence somewhat on variables have to be reversed. We achieve this by carrying out several halves of the expression the opposite of every process.
Learn more about equations here:
https://brainly.com/question/20989555
which fraction is equivalent to -3/2?
PLSS I NEEED HELPP!!
Answer:
-6/4 is equivalent to that
Step-by-step explanation:
Savannah drove 716 miles on Monday. She drove another 572 miles one Tuesday. About how many more miles did she
drive on Monday than Tuesday?
400
300
200
100
the answer is 144 not sure what you're supposed to do with that. 144 rounded would just be 100.
716 - 572 = 144
Using Point-Slope
Form. write the equation of a
line given the following
information.
(3.4) m=3
PLZ HELP
Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5%5%? Round your answer to four decimal places.
Answer:
The value is [tex]P(| \^ p - p| < 0.05 ) = 0.9822 [/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.52[/tex]
The sample size is n = 563
Generally the population mean of the sampling distribution is mathematically represented as
[tex]\mu_{x} = p = 0.52[/tex]
Generally the standard deviation of the sampling distribution is mathematically evaluated as
[tex]\sigma = \sqrt{\frac{ p(1- p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }[/tex]
=> [tex]\sigma = 0.02106 [/tex]
Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as
[tex]P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))[/tex]
Here [tex]\^ p[/tex] is the sample proportion of persons with a college degree.
So
[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )[/tex]
Here
[tex]\frac{[\^p - p] - p}{\sigma } = Z (The\ standardized \ value \ of\ (\^ p - p))[/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 } < Z < \frac{-0.47 + 0.52}{0.02106 }][/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[ -2.37 < Z < 2.37 ][/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(Z < 2.37 ) - P(Z < -2.37 )[/tex]
From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is
[tex]P(Z < 2.37 ) = 0.9911[/tex]
and
[tex]P(Z < - 2.37 ) = 0.0089[/tex]
So
=>[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) =0.9911-0.0089[/tex]
=>[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = 0.9822 [/tex]
=> [tex]P(| \^ p - p| < 0.05 ) = 0.9822 [/tex]
Can you help me i wil give you a branlist and please help me
Answer:
i love free points dont you
