This question is incomplete, the complete question is;
The total weekly cost (in dollars) incurred by Lincoln Records in pressing x compact discs is given by the following function;
C(x) = 2000 + 2x -0.0001x² (0 ≤ x ≤ 6000) .
(a) What is the actual cost incurred in producing the 1051st and the 2191st disc? (Round your answers to the nearest cent.)
(b) What is the marginal cost when x = 1050 and 2190? (Round your answers to the nearest cent.)
Answer:
a)
Actual cost for 1051st disc is $1.79
Actual cost for 2191st disc is $1.56
b)
the marginal cost are;
C'(1050) = $1.79
C'(2190) = $1.56
Step-by-step explanation:
Given the data in the question;
C(x) = 2000 + 2x -0.0001x²
a)
What is the actual cost incurred in producing the 1051st and the 2191st disc? (Round your answers to the nearest cent.)
Actual cost for 1051st disc will be;
⇒ C(1051) - C(1050)
= [ 2000 + 2(1051) - 0.0001×(1051)²] - [ 2000 + 2(1050) - 0.0001×(1050)² ]
= [ 2000 + 2102 - 110.4601 ] - [ 2000 + 2100 - 110.25 =
= 3991.5399 - 3989.75
= $ 1.7899 ≈ $1.79
Actual cost for 2191st disc will be;
⇒ C(2191) - C(2190)
= [ 2000 + 2(2191) - 0.0001×(2191)²] - [ 2000 + 2(2190) - 0.0001×(2190)² ]
= [ 2000 + 4382 - 480.0481 ] - [ 2000 + 4380 - 479.61 ]
= 5901.9519 - 5900.39
= $ 1.5619 ≈ $1.56
Therefore,
Actual cost for 1051st disc is $1.79
Actual cost for 2191st disc is $1.56
b)
What is the marginal cost when x = 1050 and 2190? (Round your answers to the nearest cent.)
Marginal cost is; C'(x) = 2 - 0.0002x
so;
C'(1050) = 2 - 0.0002(1050) = 2 - 0.21 = $1.79
C'(2190) = 2 - 0.0002(2190) = 2 - 0.438 = $1.562 ≈ $1.56
Therefore; the marginal cost is;
C'(1050) = $1.79
C'(2190) = $1.56
Preston writes 3 songs in 2 days, working 7 hours each day. He spends the same amount of time on each song. How long does he spend on each song?
Answer:
Step-by-step explanation:
In 2 days he spends 2*7 = 14 hours total
He divides the number of hours on each song evenly
14 /3 = 4 2/3 hours on each song.
What is 2/3 of an hour?
2/3 * 60 = 120 / 3 = 40 minutes
Total time spent on each song 4 hours and 40 minutes
Answer:
3 songs =2 days working only 7 hour =7×2=14 hour
1 song =14/3hour.=4.6 hour
he spends 4.6 hour on each song
a point on the edge of a flywheel with the radius of 14 cm is rotating at a rate of 14 radians per second. what is the linear speed of a point on its rim in centimeters per minute
Ms. Federman graded 5 papers in 40 minutes. At this rate, how many minutes will it take her to grade 30 papers?
Answer:
240 minutes
Step-by-step explanation:
If it's 40 minutes for just 5 papers, we need to figure how many minutes it would take to grade just 1. So you have to divide 40 by 5 which is 8. Then 8 time 30 which is 240.
In ΔRST, the measure of ∠T=90°, TR = 1.8 feet, and RS = 8.7 feet. Find the measure of ∠S to the nearest tenth of a degree.
Answer:it’s 11.9
Step-by-step explanation:
This keypad lock uses 6 letter keys to enter a
3-letter code.
enter code
What would make this lock more safe?
1) Making the codes one place longer
2) Adding one more letter key
Answer:
ksknxxms
Step-by-step explanation:
nsiaoalapz i oskaoxnsoxoakocmdmx
Calculate 30% of 500kg.
Answer:
150kg
Step-by-step explanation:
divide 500 by ten, multiply that by 3
Answer: 150kg
Step-by-step explanation:
Turn 30% into a decimal and then multiply that by 500.
0.30*500=150
Solve to x to the nearest foot
Answer:
x= 1325 ft (nearest foot)
Step-by-step explanation:
Please see the attached pictures for the full solution.
can i pls get some help
Answer:
The error is between the given and step 1
Step-by-step explanation:
the negative wasnt distributed to the 4x-3.
it would have been 8x-4x+3=5
can someone do this for me rq I’m being timed and I don’t know how to find the surface area of this use
Answer:
SA = 2280 cm²
Step-by-step explanation:
bottom & top = 40 x 12 x 0.5 x 2 = 480
sides = (13x20) + (40)(20) + (37)(20) = 1800
1800 + 480 = 2280 cm²
Find the area of the triangle created with the diagonal. Each side length measures 8 feet. Help ASAP please.
21
What is the surface area of the figure below?
6 ft
3 ft
3 ft
A 12 ft
36 ft?
54 ft?
D 90 ft?
Answer:
Step-by-step explanation:
3
Please help and thank you:)
Answer:
Its C
Step-by-step explanation:
Since the x is being multiplied by the 12, not being added or divided or substracted
Please help with 7
Will give brainlist
Answer:
y=3
x=5
Step-by-step explanation:
perfect right triangle
1-3-5
hypotneuse is always the longest and across the 90 degree angle
hope this helps :))
This is very important assignment I need to make my family proud with a good grade
Answer:
They're 24 in total so i guess it would be 24 units^2
Step-by-step explanation:
What are the solutions to the equation sqrt x^2+2x-10 = sqrt x+20
x = –6, x = –5
x = –6, x = 5
x = –5, x = 6
x = 5, x = 6
Answer: ((B)) x = –6, x = 5
Step-by-step explanation: Edge 2021
As per quadratic equation, the solutions to the equation √(x² + 2x - 10) = √(x + 20) is x = - 6, 5.
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients(a ≠ 0), x is the variable, and 'c' is the constant term."
The given quadratic equation is:
√(x² + 2x - 10) = √(x + 20)
⇒ (x² + 2x - 10) = (x + 20)
⇒ (x² + 2x - 10) - (x + 20) = 0
⇒ (x² + x - 30) = 0
⇒ (x² + 6x - 5x - 30) = 0
⇒ x(x + 6) - 5(x + 6) = 0
⇒ (x + 6) (x - 5) = 0
⇒ x = - 6, 5
Learn more about quadratic equation here: https://brainly.com/question/1527885
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PLEASE HELP ME:
Strawberries cost $1.24 per pound. What is the cost for 3.16 pounds of strawberries?
Answer:
$3.92
Step-by-step explanation:
1.24 x 3.16 = 3.9184
Rounding it off to two decimal places:
$3.92
Answer if your smart Zoey can text 90 words in 4 minutes. At this rate, how many minutes would it take her to text 45 words?
Answer:
2 minutes
Step-by-step explanation:
90 words÷4 minutes
=22.5 words
22.5 words×2 minutes
=45 words
Define what congruent means?
Answer:
identical in form or shape
Step-by-step explanation:
two triangles could be congruent as they both have 3 sides.
Which statement correctly compares 3/5 and 4/10
True or false?
All quadrilaterals are also rhombuses.
Answer:
It's false
All quadrilaterals are also rhombus, False
Answer:
The answer is true. A rhombus is a quadrilateral that has four sides that are equal. This definition can also be applied for a square.
Step-by-step explanation:
Can you help me on question 17
Answer:
57 + x³
Step-by-step explanation:
A plant grows 1.8 centimeters a month. There are 12 months in a year. How many centimeters will the plant grow in one year?
Miss Riley believes that it will be 21.6 cm. Is she correct?
Answer:
1.8 x 12 =21.6
it is true she is correct
A number rounds down to 600 to 1 significant figure. What could the original number
be?
Answer:
1000
Step-by-step explanation:
Round the 6 in 600, this is 1 significant figure.6 rounds up to 10 making 1000
The number can be 601, 602, 603, ....... 699
What is significant figures?Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit.
If the number is round down to 600 then it's depend on round off
If the round off should be at hundred place, then number can be
601,602, ..................649.
If we round off the above number then it will be 600 which has 1 significant figure.
Learn more about significant figure here:
https://brainly.com/question/14359464
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How many digits does the smallest repeating block in the decimal expansion of 7/9 contain?
Applying the division of 7 by 9, it is found that the smallest repeating block in the decimal expansion of 7/9 contains 1 digit.
The decimal expansion of 7/9 represents the division of 7 by 9.
The integer part is 0, as 7 < 9.The decimal part is given by the result of 70 divided by 9, which is 7.7777....The repeating block is 7777777....As the only repeating digit is 1, it is found that the smallest repeating block in the decimal expansion of 7/9 contains 1 digit.
You can learn more about division at https://brainly.com/question/13150694
There are a total of 10 pigs and ducks in the barn. There are 36 legs in all (each pig has four legs and each duck has two legs). Use substitution to solve the linear system of equations and determine how many pigs, x and ducks, y there are. Express the solution as an ordered pair (x,y).
Answer: 8 pigs and 2 ducks.
1. (A) p + d = 10
2. (B) 4p + 2d = 36
3. Multiply equation (A) with -2; -2p minus -2d = -20
4. When subtracted from equation (B), this gives you.. 2p = 16, pigs = 8
5. Use this 8 to the second equation by substitution.. 2d = 4, ducks = 2
help pleaas
thanks ughghh
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 15 people took the trip. She was able to purchase coach tickets for $260 and first class tickets for
$1180. She used her total budget for airfare for the trip, which was $11,260. How many first class tickets did she buy? How many coach tickets did she buy?
Answer
20
Step By Step
its 20 maybe
1. Building traveler loyalty is a key strategic factor for a popular vacation rental platform. Several factors can deter repeat bookings, one of which is cancellation by the owner of the property. The data science team observes that 35% of travelers who have not had a reservation cancelled by an owner return to the site for repeat bookings. Travelers with a reservation that WAS cancelled by an owner repeat book at a 20% rate. If owners cancel 8% of the time, what is the overall repeat booking rate?
2. The data science team also seeks to understand the impact on customer loyalty with respect toanother type of cancellation: traveler cancellations. The repeat booking rate for owner cancellations is 20%;for traveler cancellations, 28%; and no cancellation, 36%. If the overall repeat booking rate is 34%, and theprobability of an owner cancellation is 8%, what is the probability of a traveler cancellation?
Answer:
1. The overall repeat booking rate is 34.72%.
2. The probability of a traveler cancellation is 0.09 = 9%.
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
Question 1:
36% of 100 - 8 = 92%(not canceled)
20% of 8%(canceled). So
[tex]p = 0.36*0.92 + 0.2*0.08 = 0.3472[/tex]
The overall repeat booking rate is 34.72%.
Question 2:
We have that 34% is the sum of:
20% of 8%(repeat cancellation when the owner cancels).
28% of x(traveler cancelations).
36% of (100 - (8+x))%(no cancellation). So
[tex]0.2*0.08 + 0.28x + 0.36(1 - (0.08+x)) = 0.34[/tex]
[tex]0.016 + 0.28x + 0.36(0.92 - x) = 0.34[/tex]
[tex]0.016 + 0.28x + 0.3312 - 0.36x = 0.34[/tex]
[tex]0.08x = 0.3312 + 0.016 - 0.34[/tex]
[tex]x = \frac{0.3312 + 0.016 - 0.34}{0.08}[/tex]
[tex]x = 0.09[/tex]
The probability of a traveler cancellation is 0.09 = 9%.
The perimeter of a standard basketball court is 288 ft. Find the dimensions of the basket ball court if its length is 44 longer than its width.
Answer:
w = 50, l = 94
Step-by-step explanation:
l = w + 44, to find perimeter we need 2l + 2w = 288 and we know l so substitute 2(w+44) + 2w = 288, so 2w + 88 + 2w = 288 so 4w = 200, therefore w = 50
t−5≤−7=?????????????????????
Answer:
t≤−2
Step-by-step explanation:
t−5≤−7
add postive 5 on both sides
t≤-2