A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) = 10000 +90x - 0.08x2 Find the exact cost of producing the 501st item.

Answers

Answer 1

Answer:

cost of producing the 501st item = $9.92

Step-by-step explanation:

The function representing the cost is given by;

C(x) = 10000 + 90x - 0.08x²

To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.

Thus;

C(500) = 10000 + 90(500) - 0.08(500)²

C(500) = 10000 + 45000 - 20000

C(500) = $35000

Similarly;

C(501) = 10000 + 90(501) - 0.08(501)²

C(501) = 10000 + 45090 - 20080.08

C(501) = $35009.92

cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92


Related Questions

What is the equation of the line that passes through the point (-5,-7)and has a slope of 2/5

Answers

Answer:

6.33333 is the answer <3

The graph shown below represents the relationship between the number of cookies and the cost of the cookies that a bakery sells. What is the unit rate and what does it represent? Y 13 12 10 9 ME Cost ($) B 12 14.06L 8 10 12 14 16 18 20 22 24​

Answers

Answer:

[tex]Rate = \$0.5[/tex] per cookie

Every cookie is sold at $0.5

Step-by-step explanation:

See attachment for complete question

Required

Determine the unit rate

To solve this, we simply take any corresponding values of Cost of cookies and number of cookies

When

Cost = $2

Number = 4

[tex]Rate = Cost/Number[/tex]

[tex]Rate = \$2/4[/tex]

[tex]Rate = \$0.5[/tex] per cookie

Pick another corresponding values

When

Cost = $6

Number = 12

[tex]Rate = Cost/Number[/tex]

[tex]Rate = \$6/12[/tex]

[tex]Rate = \$0.5[/tex] per cookie

Hence, the unit rate is $0.5 per cookie

What it represents is that: Every cookie is sold at $0.5

6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation

Answers

Answer:

(C / n) + 2

Step-by-step explanation:

Amount spent (C) = 42

Number of friends (n) = 6

Coupon on ticket = $2

Original price of ticket will be :

Cost per coupon ticket = (Total amount spent / number of friends)

(Total amount spent / number of friends) + coupon on ticket

= (C / n) + 2

= (42 /6) + 2

= 7 + 2

= 9

write 6.085 in word form

Answers

six and eighty-five thousandths

Factorise fully 2x+8

Answers

Answer:

2(x+4)

Step-by-step explanation:

To factor you have to divide both terms by the greatest common factor, which in this case is 2. Using distribution you can check your answer.

Answer: 2(x + 4)

Explanation: If you're asked to factor a polynomial,

the first thing you want to look for is the greatest common factor

for the terms that are involved.

The greatest common factor of 2x and 8 is 2.

So a 2 can factor out.

Inside the parenthses, we have each term divided by

the 2 that factored out of the polynomial.

So we have 2(x + 4).

Evaluate the expression.
1.2 exponent 2
answer choices =
1.44
14.4
1.728
1.5

Answers

Answer:

1.44

Step-by-step explanation:

Answer:

the answer is 1.44

Step-by-step explanation:

Because the exponent of a number says how many times to use the number in a multiplication. In 1.2 exponent 2 the "2" says to use 1.2 twice in a multiplication, so 1.2'2 = 1.2 × 1.2 = 1.44 In words: 1.2'2 could be called "1.2 to the power 2" or "1.2 to the second power.

                      Your welcome

Multiply 1 4/5 * 1 ???

Answers

Answer:

9/5 or 1 4/5

Step-by-step explanation:

You’re welcome :)

Answer:

your answer will come to be 1.8

Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15% tax. How much money did she spend on the TV?

Answers

I believe $241.50 would be your answer

I NEED HELP WITH THIS PICTURE IS PROVIDED

Answers

Is this an exam? Nehshdgdsusu

a window washer clean 38 windows in 2 hours at this rate how many windows did he clean in 7 hours?​

Answers

Answer:

133 windows

Step-by-step explanation:

What proportion results in the equation 9m=10n?

Answers

Answer:

the 2 nd one 9/m=10/n

Step-by-step explanation:

Substitute u = 26 into u + 34 to find the value of the left-hand side of the equation

Answers

Answer:

60

Step-by-step explanation:

The answer is 60 because the equation u = 26 tells us u is 26

So we can plug in 26 into u + 34

It should look like this 26 + 34 and it equals 60

pls mark brainliest

if g(x) =x over 2 + 3 find g (4)

Answers

Answer: 2

Step-by-step explanation: 4/2=2

Is m || n? Which theorem (which tool) did you use to decide?

Answers

Answer:

Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.

Step-by-step explanation:

This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

yes

Step-by-step explanation:

Yes m is parallel to n because the alternate interior angles are equal .



1. Adjacent angles are two angles in the same plane with a common

and a common

but no common interior points.

Answers

Answer:

Adjacent angles are two angles in the same plane with a common  VERTEX and a common  SIDE but no common interior points.

Step-by-step explanation:

Adjacent angles share a common side on the same vertes, but they do not overlap each other.

In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.

A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship between cakes made and the amount of flour used to make all of their cakes. Which table of values shows the relationship between the number of cakes the bakery makes to the number of bags of flours the bakery uses?

Answers

Answer:

c = 3b

Step-by-step explanation:

9 cakes proportional to 3 bags of flower

cake = k(bag)

c = kb

9 = k(3)

k = 3

c = 3b

you didn't send any table of values but this is the relationship between the cakes and flour, you can use it.

please mark brainliest if you like the answer

A birdbath is filled to the top. On Day 1, the volume of water in the bowl decreases by 7/8 cup. On Day 2, the volume in the bowl decreases by 3/4 cup. What number represents the total change in the volume of water in the bowl after two days? Write your answer as a mixed number.

Answers

Answer:

-1 5/8

Step-by-step explanation:

Let the total amount in the bowl be x;

If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;

x - 7/8

If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;

= x - 7/8 - 3/4

= x - (7-2(3))/8

= x - (7+6)/8

= x - 13/8

This shows that the total change after the two days is -13/8

As a mixed fraction;

-13/8 = -1 5/8

find the value of x and the measure of MNW

Answers

Answer:

VALUE OF X:

3x-13+61 = 90

3x+48 = 90

3x = 42

x = 14

MEASURE OF <MNQ:

3x-13

= 3(14)-13

= 42-13

= 29

Is 16.4 greater than 16

Answers

Answer:

yea

Step-by-step explanation:

Yes.

16 could also be written as 16.0, or 16.00 or even 16.00000.

16.4 could also be written as 16.40, or 16.400.

And of course, you know 4 is greater than 0.

This is why 16.4 is greater.

When you add a decimal to a number, it always makes it larger. its like saying 16 and 4 tenths.

find the missing side lengths. leave ur answers as radicals

Answers

Answer:

m = 34 ; n = 17√3

Step-by-step explanation:

m = 17 × 2 = 34

n² = 34² - 17² = 867 = 17² × 3 ⇒ n = 17√3

How many numbers can be squared to get a value of 0?

Answers

Maybe zero? Not sure

Answer:

1

Step-by-step explanation:

0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0

Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

We can write a proportion to find how much mix is required to make 52 cupcakes.

  quarts/cupcakes = 3.5/32 = x/52

Multiplying by 52, we find ...

  x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes

This is more mix than Austin made. He does not have enough left for 20 more cupcakes.

2/3x = -36
Possible answers
+24
-24
+54
-54

Answers

Answer:

-54

Step-by-step explanation:

2/3x=-36

3*2/3=3(-26)

2x=-108

2x/2= -108/2

x=-54

PLEASE HELP ME WITH ME MATH In a survey of 3500 people who owned a certain type of​ car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

50%

Step-by-step explanation:

3500 divided  by 1750 is 2 which is equal to 50%

Gina says that for all real numbers a and b, ab=ba. is this statement true or false? If false, give a counterexample

Answers

Answer:

True

Step-by-step explanation:

The communative property states that the order in addition and multiplication dosen't matter.

Ebony's bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8. Look at the picture. Brainliest Answer. Only answer if your 100% sure . ​

Answers

Answer:

It stays true because it stays the same amount so B would be the correct answer.

Step-by-step explanation:

what is the correct evaluation of 3x-x+2,when x is equal to -4?

14

-6

6

-14​

Answers

-6 is the correct answer !


3(-4)-(-4)+2
-12+4+2
-8+2
-6

Answer:

(b) -6

Step-by-step explanation:

=3x-x+2

=3(-4)-(-4)+2

=-12+4+2

=-12+6

=-6


You earned a 90% on a science test. You answered 18 questions
correctly. How many questions were on the test?

Answers

Answer:

20 questions

Step-by-step explanation:

10 divided by 20 is 0.9 which would be 90%

Name the theorem or postulate that lets you immediately conclude ∆ABD ≈ ∆CBD.
A. None of these
B.AAS
C.ASA
D.SAS

Answers

Answer:

The correct answer is B. AAS

Step-by-step explanation:

I took the test

hope this helps :)

SAS postulate is used to conclude that ∆ABD ≈ ∆CBD. Option D is correct.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

In the given triangle there are ACD, DB is the perpendicular bisector.

We need to prove ∆ABD ≈ ∆CBD.

In ∆ABD and ∆CBD

AB is congruent to BC by given diagram.

∠ABD ≅ ∠CBD both are 90 degrees.

BD ≅ BD both having common side.

∆ABD ≈ ∆CBD.

By SAS postulate.

Hence, the SAS postulate is used to conclude that ∆ABD ≈ ∆CBD.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ5

Cara's new car holds 13.5 gallons of gas. If gas costs $2.98 per gallon, how much would it
cost her to fill the gas tank from empty?
Submit
O
Lenovo

Answers

Answer:

$40.23

Step-by-step explanation:

Answer:

40.23

Step-by-step explanation:

easy just do 13.5*2.98

Other Questions
A recipe calls for 3 cups of flour to 4 cups of sugar. Find the unit rate of flour to cups of sugar. I just started to learn this and I need some help... A researcher is setting up a randomized clinical trial to evaluate the effect of acetaminophen on liverfunction, and designates a control group of subjects and an experimental group of subjects. What couldinterfere with the results or completion of this study? Think about a time when youve seen a speech or presentation in school. What happens when you hear and see an effective speech? What about a weak speech? How do you feel about the message? Please give an answer with details. Thanks! f(x) = -4x 2, solve for x when f(x) = 6 Art conservation often involves: A. commissioning murals to decorate museum galleries.B. preventing museums from holding certain exhibitions. C. restoring old paintings to their original condition. D. forging paintings that cannot be bought. 3. + (-2) + (-24 )Please help this question is worth a lot of points ( math question) help please:) 7. Answer each of the following questions if the student applied a 550N force to a 100kg box on the same surface. What would be the magnitude of the box's acceleration? Need helpp fastt plss will give brainliest to who is correct plss helpp A strand of mRNA has the bases adenine-cytosine-uracil. Which amino acidcorresponds to these bases? What issue would you use language to fight for or against Please help i will give brainliest PLS ANSWER FAST I WILL MARK THE BEST ONE BRAINLIEST PLSWhich of the following is equivalent to 4x^2+4xy+y^2 ?A) 4(x^2+y^2)B) 4(x+y)^2C) 2(x+y)^2D) (4x+y^)2E) (2x+y)^2 Could someone please tell me how to code the table in the picture in HTML 5 Which term is defined as an accidental event that causes injury or infection?incidentincident record keepingMRSAaudit daniel watched a beetle and a spider on the sidewalk. the beetle crawled 1/2 of a yard and the spider crawled 1/6 of a yard how much farther did the beetle crawl than the spider Find the surface area of the pyramid If Martha and Howard are 5 hours into the marathon, how far has each person run? What did Mary Hays and Margaret Corbin have in common?A)They were the first female officers in the Continental ArmyB)They shared the nickname, Molly.C)They took their fathers places in battle after their dads got hurtD)They were never allowed to touch the cannons, so they never fired them. Jordan has the following assets and liabilities:_______. Two cars $10,000 House $200,000 Mortgage $100,000 Cash $1,000 Car loans $3,000 Checking account balance $2,000 Credit card balance $1,000 What is Jordans wealth?a. $107,000b. $213,000c. $109,000d. $111,000