Step-by-step explanation:
Given data
C(x)=12x+114
R(x)=6x.
The company will start to run on profit just when revenue equals the production cost, that is
C(x)=R(x)
equating the two expressions we have
12x+114=6x
solving for x we have
12x-6x+114=0
6x+114=0
6x=-114
x=-114/6
x=-19
Hence the company will start to run on proft when they start to produce above 19 items
Profit is the difference between the revenue and cost functions
A production greater than 19 will turn a profit
From the question, we have:
[tex]\mathbf{R(x) = 6x}[/tex]
[tex]\mathbf{C(x) = 12x + 114}[/tex]
So, the profit function is:
[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]
Substitute known values
[tex]\mathbf{P(x) = 6x - 12x - 114}\\[/tex]
[tex]\mathbf{P(x) = - 6x - 114}[/tex]
Equate to 0
[tex]\mathbf{- 6x - 114 = 0}[/tex]
Collect like terms
[tex]\mathbf{- 6x= 114}[/tex]
Divide both sides by -6
[tex]\mathbf{x= -19}[/tex]
The above equation means that: A production greater than 19 will turn a profit
Read more about profit functions at:
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DATE:
a. Aling Luz bought 3 yards of linen cloth
which cost pnp 72. per yord & She gave Php 10o.
oo to cashier How much change will she tecive.
Answer: See explanation
Step-by-step explanation:
Your question isn't well written but let me help out. I saw a similar question.
Example 1: Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard. She gave Php 1000.00 to the cashier.How much change will she get?
Since we are informed that Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard, the amount she'll pay will be:
= 3/8 × 72
= Php 27
Since she gave the cashier Php 1000, her change will be:
= 1000 - 27
= Php 973
Research shows that many banks are unwittingly training their online customers to take risks with their passwords and other sensitive account information, leaving them more vulnerable to fraud (Yahoo, July 23, 2008). Even web-savvy surfers could find themselves the victims of identity theft because they have been conditioned to ignore potential signs about whether the banking site they are visiting is real or a bogus site served up by hackers. Researchers at the University of Michigan found design flaws in 78% of the 214 U.S. financial institution websites they studied.
Required:
Is the sample evidence sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud? Use a 5% significance level for the test.
Answer:
Decision rule
Fail to reject the null hypothesis
Conclusion
The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
Step-by-step explanation:
From the question we are told that
The sample size is n = 214
The sample proportion is p = 0.78
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the population proportion is mathematically represented as
[tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement ''three out of four'' in the question)
The null hypothesis is [tex]H_o : p = 0.75[/tex]
The alternative hypothesis [tex]H_a : p > 0.75[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]
=> [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]
=> [tex]z = 1.01[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > z )[/tex]
=> [tex]p-value = P(Z > 1.01 )[/tex]
From the z-table
[tex]P(Z > 1.01 ) = 0.15625[/tex]
So
[tex]p-value = 0.15625 [/tex]
From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis
Therefore we can conclude that the sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?
Answer:
4 of the conspiracy theories were true
Step-by-step explanation:
Percentages
Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.
25% of 16 is 25 * 16 / 100 =400 / 100 = 4
Thus, 4 of the conspiracy theories were true
If a, b and c are positive integers for which (a,b,c) is the only
ordered triple such that 6a +9b + 20c = 61, then what is
a+b+c?
If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.
So consider two cases:
• If c = 2, then we're left with 6a + 9b = 21.
• If c = 1, then 6a + 9b = 41.
We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.
This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.
help with math, please
will give 100 points
Answer: y=x10
Step-by-step explanation:
Change the equation from standard form into vertex form by completing the square.
y equals x squared plus 14 x plus 53
Plz answer 1st RIGHT gets BRAINLY!!!!! PLUS 10 POINTS!!!!
Answer: I think the answer is B.) 570
I need help ASAP. thank you in advance!
Answer:
True, depending on where f(x) is located
Step-by-step explanation:
What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x – 12? (1 point)
helpp meeee will award brainliest
suppose 123 people voted for danny if 55 of the votes from girls to votes for boys explain
Answer:
Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes from boys? If 55 were girls then there were 123-55 = 68 boys. Thus the ratio would be 55 girls to 68 boys, or 55/68.
Answer:
60
Step-by-step explanation:
PLEASE HELP!!!!
Drag each tile to the correct box.
Match each savings plan to its description.
401(k)
Roth IRA
403(b)
529 plan
health FSA
a tax-deferred retirement savings plan available to employees of some nonprofit
organizations and educational Institutions
a tax-advantaged college savings plan
an employer-offered retirement account that accepts contributions from
employees and employers
a tax-advantaged savings account available through employers to pay for
qualified medical expenses
a retirement Investment account managed by individuals, deposits are taxable,
but funds are tax exempt when withdrawn at retirement
Answer:
403(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
I looked it up. Good luck :)
Answer:
401(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
Where is the vertex of f(x) = -2x - 3| +6.4?
(6-x3)5=45 Please help
Graph the line that passes through the points (-5,2) and (6,2) and determine the equation of the line.
Answer:
y = 2
Step-by-step explanation:
....................
Which shows associative property?
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
Answer: the answer is the second one
Step-by-step explanation:
9514 1404 393
Answer:
3(ab) = (3a)b . . . associative property of multiplication(3 + a) + b = 3 + (a + b) . . . associative property of additionStep-by-step explanation:
The "associative property" can apply to any number of operations. The ones we're usually concerned with are multiplication and addition.
Basically, the associative property says you can regroup elements that have the same operation being performed on them. Effectively, that regrouping lets you perform the sequence of operations in whatever order you may choose.
For multiplication, the associative property can be written:
(ab)c = a(bc)
This form matches the first of the choices shown:
3(ab) = (3a)b
__
For addition, the associative property can be written:
(a+b)+c = a+(b+c)
This form matches the second of the choices shown:
(3 + a) + b = 3 + (a + b)
__
If you must select one answer, you need to know which associative property you're talking about.
Caleb is saving money to buy a bike next year. So far he has saved $150. Write an inequality to show how much he needs to
save each month for the next year so he has at least $800 to spend on the bike, then solve the inequality
What similarity rule can be used to prove the triangles are similar . plz help
Answer:
SAS
Step-by-step explanation:
g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.
Answer:
Main difference between circle & ellipse
Step-by-step explanation:
Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel
Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets
Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question
Explanation:
Cricle is the most rounded shape. Its different from ellipse because it has the radius, chord and diameter.cricle can be drawn easily with compass and ellipse is oval shape.cricle contains two types perimeter cricle and normal cricle. Ellipse has also two types partial ellipse and normal ellipse.Cricle does not have major and minor axis length both are different.Thus we conclude that cricle is totally different from ellipse
To know more about cricle and ellipse
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I need somw help on this pls ^^
Answer:
100=9s+10
there are 10 students on each bus
Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5
Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
What is 5/8 of $16 restaurant bill=
What is the answer
Answer:
$10
Step-by-step explanation:
16 * 5 / 8 = 16 * 0.625 = $10
Please I need some answers a few is fine
ANSWER ASAP! NEED HELP
Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?
Wendy and Mini earn $38 per week for delivering magazines. Wendy worked for x weeks and earned an additional total bonus of $15 Mini worked for y weeks. Which expression shows the total money, in dollars, that Wendy and Mini earned for delivering magazines
A: 53x + 38y
B: 38 + 15 + 38y
C: 38 - 15 + 38y
D: 38x + 53y
Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please
Answer:
what questions need to be done? We need to know the problems before we answer them. :/
Jillian is at her favorite clothing store and has found a pair of pants that are on sale for 20% off the regular price. They
are regularly $28. How much will be taken off the price?
$4,60
$8.00
$6.00
$5.60
Answer:
5.60 it answer D hope it helps ~••~
polynomial time............
Answer:
I'm pretty sure its b
Step-by-step explanation:
I plotted each one to make a polynomial graph and b was the one that had the x-intercepts at -6, 1, and 4.
hope this helped a little :))