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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try this one method. I hope it will help a little
25^2 = 625
area of circle = 3.14(r)^2
3.14(12.5)^2 (radius is half of diameter)
=490.625
divide that by 2
=245.31
subtract 625 by 245.31
=379.69
=379.7 ft^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
Solution :
[tex]$p = \frac{28}{30}$[/tex]
= 0.93
Given :
[tex]$a=0.05$[/tex]
[tex]$z(0.025)=$[/tex] [tex]$1.96$[/tex] (from standard normal table)
So the lower bound is
[tex]$=p+z\times \sqrt{p \times \frac{1-p}{n}}$[/tex]
[tex]$=0.7+0.93\times \sqrt{0.7 \times \frac{1-0.7}{30}}$[/tex]
= 1.63 + 0.083
[tex]$=1.73$[/tex]
What shape are the faces, other than the base,
of a pyramid?
Answers
Answer:
A triangle
Step-by-step explanation:
Can someone help me with this one?
Answers
Answer:
well I can see not see the graph so for this the + whatever is the y intercept which means when the line goes through the y axis and with the X find a point that is at the tip of a square then count up or down and if you count up and over it is positive and down and over it negative if i cann the graph I would love to help you.
Can someone seriously help me!!!!!
Answers
Answer:
Step-by-step explanation:
This should help I hope
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?
Answers
Sjejrj 5929
Will give brainliest if anyone answers this one
LOCKER NUMBERS What is the probability that a 6-digit locker combination with the digits 3, 5, 7, 3, 5, and 2 is the number 53-27-35?
A.1/90
B.1/180
C.1/720
D.1/360
Answers
Please help me I'm so bad at math and doing AFDA really doesn't help..
place for the solution with quadratic equation
Answers
Answer:
4, 16, -4, 2, -1
x = 4±√(16-4(2)(-1)/4
Correct expression:
Step-by-step explanation:
Given the expression
2x² - 8x - 7 = -4x - 6
Rewrite in standard form
2x² - 8x + 4x - 7 + 6 = 0
2x² - 4x - 1 = 0
Get the coefficients
Given the standard form ax^2 + bx + c = 0
ax^2 = 2x^2
a = 2
bx = -4x
b = -4
c = -1
Use the general formula to find the factors
x = -b±√b²-4ac/2a
Substitute the coefficients
x = -(-4)±√(-4)²-4(2)(-1)/2(2)
x = 4±√(16-4(2)(-1)/4
Hence the values are 4, 16, -4, 2, -1
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.
Tina owns a house that is worth
$ 125,000, a car that is worth $4,000
and miscellaneous items worth
$3,200. She also has $5,000 in
student loans and $572 in credit card
debt. How much is Tina's net Worth?
Answers
Answer:
126,628
Step-by-step explanation:
125,000+4,000+3,200-5,000-572
Net worth is your dollar amount in assets minus liabilities, so debts and loans, in total the net worth is $126,628
On an
Air Indian flight there are
9 boys, 5 Indian Children, 0
9 men, 7 foreign boys 14 Indian, 6 indian male
and 7 foreign female. What is the
number of people on board the plane.
Answers
Answer:
43
Step-by-step explanation:
xulxlydlysktstaj4a4uajtajrajra
graph x + 4= -8(y-2)^2
Answers
Answer:
It should be B!
Step-by-step explanation:
The graph looks small and on the left second quadrant
Answer:
Its b
Step-by-step explanation:
Just got it right on edge
Dan wants to buy carpet. To cover his hole living room, except for the tiled floor. The tiled floor is 4 5/6 ft by 2 1/3. Find the area the carpet needs to cover
Answers
Answer:
11.2777778 feet (11 feet 321⁄64 inches)
Step-by-step explanation:
Answer:
11 27/100
Step-by-step explanation:
L (length) times W (width) = A (area)
What is the value of y in the triangle ?
Answers
Answer:
c
Step-by-step explanation:
hope it helps
What is 11 3/6 rounded to the nearest
Answers
Answer:
12
Step-by-step explanation:
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)
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)
Answers
Answer:
i don't get what i should do its all messed up
Step-by-step explanation:
Does the equation below represent a
direct proportion? If yes, identify
the constant of proportionality.
х = 6у
A. No
B. Yes, 36
C. Yes, -6
D. Yes, 1/6
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:
Which side lengths form a right triangle?
Answers
Answer:
Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²
needed to apply
4²+8²=12²
80≠144 not a right angled triangle
again
2²+√5²=3²
9=9/
side are a right angled triangle
again
2²+2²=(√8)²
4+4=8
8=8
side are a right angled triangle
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
A. 8/15. B.7/17. C.1/2. D3/5
Answers
Answer:
A is the answer!
Because that's reduced of 16/30
count and divide from 16/30 to 8/15!
HELP WILL GIVE BRANLIEST
Answers
Answer: 6
Someone help me with this question
Answers
explanation;
Need the answer. Pic to describe.
Answers
Answer:
Step-by-step explanation:
solve triangles suing the law of sines
Answers
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° ...
Law of Sines (the Sine Rule): When there is an angle opposite a side, this equation comes to the rescue. ...
Law of Cosines (the Cosine Rule):
Plz help me with this two question
Answers
3.14 X (4)^2 X 3/3
= 50.26548246
Calculate the area of the following image:
Answers
Becky has 4 1/2 cups of ice cream. If each ice cream scoop is 1/2 cup, how many scoops of ice cream can she make?
Simplify your answer.
Answers
Answer:
9 scoops
Step-by-step explanation:
(4 1/2)/(1/2) = 9/2 x 2/1 = 18/2 = 9 scoops
4 1/2 = 4.5
1/2 = 0.5
4.5/0.5=9
Select the correct answer
Answers
Answer:
number 3
Step-by-step explanation:
thats my calcue
An employee put $10,000 in a retirement
account that offers 4% interest
compounded annually.
The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest
the employee will have earned at the end of 12 years?
A) $4,520.14
B) $5,200.36
C) $6,010.32
D) $7,340.18
PLS ANSWER ASSP WILL GIVE BRAINLIEST ANSWER
Answers
C. $6010, I plugged the information into a simple compound interest calculator.
y=x-3
y+3x=1 solve by substitution
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:
[tex]y=x-3\\y=1-3\\y=-2[/tex]
It is always better to check our answers, we can substitute our x and y into the equation:
[tex]-2+3(1)=1\\-2+3=1\\1=1[/tex]
We are right! :)) Hope it helps!
x=1, y=-2
(1,-2)