A kitchen table is being sold at a furniture store. These are the cost and revenue functions associated with the tables, where x
represents the selling price of a single table:
R(X) = -0.68x2 + 310x
C(x) = 43.6x + 36,176
Which two points represent breakeven for table sales?
(0, 36,176)
(140, 30,072)
(227, 35,330)
(260, 9,792)
(380, 19,608)
Answers
Answer:
(140, 30,072) and (380, 19608).
Step-by-step explanation:
We are given that the revenue function for selling the kitchen table given its price is:
[tex]R(x)=-0.68x^2+310x[/tex]
And the cost function is:
[tex]C(x)=-43.6x+36176[/tex]
At the breakeven point, the revenue equals the cost. Therefore:
[tex]R(x)=C(x)[/tex]
Substitute:
[tex]-0.68x^2+310x=-43.6x+36176[/tex]
We can solve for x.
Adding 0.68x² to both sides and subtracting 310x from both sides yields:
[tex]0.68x^2-353.6x+36176=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 0.68, b = -353.6, and c = 36176. Substitute:
[tex]\displaystyle x=\frac{-(-353.6)\pm\sqrt{(-353.6)^2-4(0.68)(36176)}}{2(0.68)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{353.6\pm\sqrt{26684.24}}{1.36}[/tex]
So, our two solutions are:
[tex]\displaystyle x=\frac{353.6+\sqrt{26684.24}}{1.36}\text{ or } x=\frac{353.6-\sqrt{26684.24}}{1.36}[/tex]
Use a calculator:
[tex]x\approx 380\text{ or } x\approx 140[/tex]
Our answers are:
(140, 30,072) and (380, 19608).
Answer:
(140, 30,072) and (380, 19608)
Step-by-step explanation:
i got it right
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c
Step-by-step explanation:
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What shape are the faces, other than the base,
of a pyramid?
Answers
Answer:
A triangle
Step-by-step explanation:
The results of a coin toss are shown.
What is P(heads)?
H T H H H T H T T H H T H T T T H H T H T T H H H H T H T T
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Answer:
A is the answer!
Because that's reduced of 16/30
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Step-by-step explanation:
In your solving toolbox (along with your pen, paper and calculator) you have these 3 equations:
The angles always add to 180°: A + B + C = 180° ...
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Find the distance between -4 and 6 on the number line .
Answers
Answer:
10
Step-by-step explanation:
The formula for finding distance between 2 points on a number-line is absolute value. We need to find the absolute value of -4+6. |-4| + |6| = 10
Absolute Value negates any negatives.
What is 11 3/6 rounded to the nearest
Answers
Answer:
12
Step-by-step explanation:
y=x-3
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Answers
Answer:
x = 1
Step-by-step explanation:
x - 3 + 3x = 1
4x - 3 = 1
4x = 4
x = 1
Answer:
x=1, y=-2
Step-by-step explanation:
According to the substitution property, if x = y, then x can be substituted for y in any equation, and y can be substituted for x in any equation.
We are already given the values:
y=x-3
y+3x=1
We can substitute y into the equation.
As so-
[tex]x-3+3x=1[/tex]
Combine common terms:
[tex]4x-3=1[/tex]
Now solve for x. To solve for a variable, we must isolate it:
Add 3 to both sides:
[tex]4x=4[/tex]
The last thing, 4 is being multiplied to x, so we must divide it to both sides to isolate the variable.
[tex]x=1[/tex]
Now we can just substitute the x value into the y equation:
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It is always better to check our answers, we can substitute our x and y into the equation:
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We are right! :)) Hope it helps!
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(1,-2)
The people at the Cloak soft drink company believe that their brand of drink is favored over their competitor's brand, Pempsi, by the majority of people. A quick survey is conducted to test this belief. Forty people are asked whether they prefer Cloak or Pempsi, and 28 people did prefer Cloak. A statistician at Cloak wishes to construct a 95% confidence interval for the proportion of people that prefer Cloak soft drink. Drag the blue marker from above the words 'lower bound' to the lower bound of the confidence interval on the number line provided. Drag the red marker from above the words 'upper bound' to the upper bound of the confidence interval on the number line provided.
Answers
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[tex]$a=0.05$[/tex]
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= 1.63 + 0.083
[tex]$=1.73$[/tex]
11.1.21 A survey asked, "How many tattoos do you currently have on your body?" Of the males surveyed, responded that they had at least one tattoo. Of the females surveyed, responded that they had at least one tattoo. Construct a % confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let represent the proportion of males with tattoos and represent the proportion of females with tattoos. Find the % confidence interval for . The lower bound is nothing. The upper bound is nothing. (Round to three decimal places as needed.)
Answers
Complete question :
The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.
Answer:
(−0.0085 ; 0.0481)
Step-by-step explanation:
Given that :
n1 = 1205 ; x1 = 181 ; n2 = 1097 ; x2 = 143 ; α = 95%
Zα/2 = 1.96 ( Z table)
Confidence interval : (p1 - p2) ± E
E =Zα/2 * √[(p1q1/n1) + (p2q2/n2)]
p1 = x1 /n1 =181/1205 = 0.1502
q1 = 1 - p1 = 1 -0.1502 = 0.8498
p2 = x2/n2 = 143/1097 = 0.1304
q2 = 1 - p2 = 1 -0.1304 = 0.8696
E = 1.96 * √(0.0001059 + 0.0001033)
E = 0.0283
p1 - p2 = 0.1502 - 0.1304 = 0.0198
Lower boundary = 0.0198 - 0.0283 = −0.0085
Upper boundary = 0.0198 + 0.0283 = 0.0481
(−0.0085 ; 0.0481)
Will give brainliest if anyone answers this one
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A.1/90
B.1/180
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D.1/360
Answers
What is the balance for B?
DEPOSITS WITHDRAWALS
BALANCE
$565.00
$50,00
А
DATE DESCRIPTION OF TRANSACTION
7/1
7/5
Babyutting
717
Birthday money
7/12
Cell phone bi
7/15
Car Insurance
$95.00
В
$39.20
С
$45.20
D
Lunch with friends
$15.70
E
7/18
7/19
Babysitting
$60.00
F
O 609.90
O 615.00
O 625.60
Ооооо
O 669.90
670,80
O 710.00
1 point
What is the balance for C?
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Sjejrj 5929
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Answers
Answer:
126,628
Step-by-step explanation:
125,000+4,000+3,200-5,000-572
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Step-by-step explanation:
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Does the equation below represent a
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х = 6у
A. No
B. Yes, 36
C. Yes, -6
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Answers
Step-by-step explanation:
The given equation is :
x = 6y ...(1)
Here,
x and y are variables and 6 is a constant number
It means,
x and y are related directly to each other i.e.
x ∝ y
or
x = ky .....(2)
Comparing equation (1) and (2)
k = 6
Hence, yes they are in direct proportion and the value of constant of proportionality is 6.
Answer:
yes / 1/6
Step-by-step explanation:
Multi-Step Equations - PracticeCheck your SolutionCheck your SolutionCheck your SolutionCheck your SolutionCheck your Solution123456-3m - 5 = 5m - 136(y + 7) = 2(y - 3)3x + 2(x - 5) = 2510q + 3q + 5 = 2(q - 3)(x + 6) = 1323(x - 9)
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Need the answer. Pic to describe.
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Answer:
Step-by-step explanation:
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Simplify your answer.
Answers
Answer:
9 scoops
Step-by-step explanation:
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1/2 = 0.5
4.5/0.5=9
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Answer:
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2x² - 8x + 4x - 7 + 6 = 0
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ax^2 = 2x^2
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Use the general formula to find the factors
x = -b±√b²-4ac/2a
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On an
Air Indian flight there are
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Answers
Answer:
43
Step-by-step explanation:
xulxlydlysktstaj4a4uajtajrajra
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number 3
Step-by-step explanation:
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