The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.

Answers

Answer 1

Answer:

Minimum 100 bicyclesMinimum cost is 13500

Step-by-step explanation:

Given function:

C(x) = 3x^2- 600x + 43500

a.

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

Vertex of the given function is:

x = -(-600)/(2*3) = 100

b.

Cost at vertex is:

C(100) = 3*100^2 - 600*100 + 43500 = 13500

Related Questions

A box contains 4 pair of sunglasses. How many outcomes are in the sample space for pulling out a single pair, not returning it, then drawing out a second set of glasses.

a. 8
b. 12
c. 6
d. 9

Answers

Answer:

B.12

Step-by-step explanation:

For your first draw you have 4 possible options, then on your second draw you have 3 possible options since you took out a pair. So to figure out the number of possible outcomes you simply multiply the possibilities by each other to get the number of possible outcomes.  

What is the volume of the prism below?
A. 56 units 3
B. 144 units
C. 288 units
D. 180 units

Answers

Answer:

C ,288

Step-by-step explanation:

hope this helps


The temperature startedat 10 degrees F. The temperature dropped 5
degrees every hour. What was the temperature after 3 hours?

Answers

Answer:

-5FStep-by-step explanation:

10-5x3=-5 F

Sum of 23 and y please help

Answers

Answer:

I think it’s -5

which are the complementary angles?

Answers

Answer:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

please amrk this answer as brainliest

Given that the diameter of a circle is 5 mm, find the radius of the circle.

Answers

Answer:

r=2.5mm

Step-by-step explanation:

Using the formula

[tex]\huge\underline{ \sf \: Formulae \: to \: remember \: for \: solving \: the \: question:}[/tex]

[tex] \\{ \sf radius \: of \: a \: circle = \frac{d}{2} where \: d \: is \: the \: diameter \: of \: the \: circle}[/tex]

[tex]\huge\underline{\sf Given:}[/tex]

[tex] \ \: { \sf The \: diameter \: of \: a \: circle \: is \: 5 mm.}[/tex]

[tex]\huge\underline{\sf To \: find \: out:}[/tex]

[tex] \ { \sf Radius \: of \: the \: circle}[/tex]

[tex]\huge\underline{\sf Solution:}[/tex]

[tex] \\{ \sf The \: diameter \: of \: the \: circle \: is \: 5 \: mm.}[/tex]

[tex] \\{ \sf Therefore \: radius \: of \: the \: circle}[/tex]

[tex]\\{ \sf = \frac{5}{2} \: mm} [/tex]

[tex] \\{ \sf = 2.5 \: mm}[/tex]

[tex]\huge\underline{\sf Answer:}[/tex]

[tex]\\{\sf The \: radius \: of \: the \: circle \: is \: 2.5 \: mm.}[/tex]

A sphere has a volume of approximately 24,416.64 cubic inches (using 3.14 for ).


The diameter of the sphere is ___ inches.

Answers

Answer:

diameter = 36 in.

Step-by-step explanation:

V = 4π r^3/3

24416.64 = (4(3.14) r^3)/3

73249.92 = 12.56 r^3

r^3 = 5832

r = cube root of 5832 = 18

diameter = 36 in.

if S is midpoint of GA, then?

Answers

that means S is in the middle between G and A

[tex]s \: = \: \frac{g + a}{2} [/tex]

According to Thomson Financial, last year the majority of companies reporting profits had beaten estimates. A sample of 162 companies showed that 98 beat estimates, 29 matched estimates, and 35 fell short. (a) What is the point estimate of the proportion that fell short of estimates

If required, round your answer to four decimal places. pshort = (b) Determine the margin of error and provide a 95% confidence interval for the proportion that beat estimates. If required, round your answer to four decimal places. ME = (c) How large a sample is needed if the desired margin of error is 0.05?

Answers

(8xd) or ur ganna be (78b)

Angles in triangles

Question is in the photo

Answers

Answer:

JSJXJX

Step-by-step explanation:

CF<DC<DE<DF<FE

plz hurry!! A person standing close to the edge on top of a 108-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 132 t + 108 h ( t ) = - 16 t 2 + 132 t + 108 models the ball's height above the ground, h ( t ) h ( t ) , in feet, t t seconds after it was thrown. a) What is the maximum height of the ball?

Answers

Answer:

The maximum height of the ball is 380.25 feet in the air.

Step-by-step explanation:

The quadratic function:

[tex]h(t)=-16t^2+132t+108[/tex]

Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.

We want to determine the maximum height of the ball.

Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.

Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:

[tex]\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)[/tex]

In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:

[tex]\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125[/tex]

So, the maximum height occurs after 4.125 seconds of the ball being thrown.

To find the maximum height, substitute this value back into the equation. Thus:

[tex]h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}[/tex]

The maximum height of the ball is 380.25 feet in the air.

PLEASEEEE HELPPPPP ME !! :)

Answers

The last one looks right

Answer:

ok ok, i think it's the last one

Step-by-step explanation:

What two numbers multiply to get 3 and add to get 6

Answers

Answer:

3

Step-by-step explanation:

Which expression is equivalent to 0.06h +h+0.85h? ​

Answers

Answer:

1.91h

Step-by-step explanation:

0.06h+h+0.85h

1.91h

Answer:

The first one asdfghjkfruyctdf

Step-by-step explanation:

Can someone please help me with math.

Answers

Answer:

21.c

22.b

23.c

Step-by-step explanation:

The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure

Answers

Answer:

5

Step-by-step explanation:

it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math

I need this ASAP PLZ...helpp ...i will give brainlies to the correct answer

Answers

Solve by factoring
x = -12
x = 3
x= -12
x= 3

solve for x by factoring ! hope this helps

2. At Best Buy, two flash drives and one new mouse for your
computer cost $55.00. How much does one flash drive cost?
(Mouse cost 22.00)

Answers

Answer:

I believe one flash drive would cost $16.50.

Step-by-step explanation:

55=2x+22

-22       -22

33=2x

/2    /2

16.50=x

Hope this helps! Have an Amazing day!!

What is the product (3x10^9) x (2x10^17) in scientific notation

Answers

Answer:

6·10^26

Step-by-step explanation:

Multiply together the coefficients 3 and 2, obtaining 6.  We must also multiply together the powers of 10; we do this by ADDING the exponents 9 and 17, to get the final answer

6·10^26

Answer:

6•10^26 is the answer.

Evaluate the function.

Answers

Answer:

Step-by-step explanation:

Nothing further can be done with this topic.  

f ( x ) = 3 x 2 − 10 x − 9

Solve the equation. 6x−7=2x+13

Answers

Answer:

6x - 7 = 2x + 13

6x - 2x = 13 + 7

4x = 20

x = 20/4

x = 5

Hope it helps!

X=5 that’s the answer

A. 34
B. 55
C. 65
D. 145

Answers

answer is A, because of the alternate interior angles theorem

You wash 12 cars on Friday and 10 cars on Saturday for our fund-raiser you were also given a $40 donation from somebody who didn't want a car wash if you raised a total of $370 how much money did you earn per car wash

Answers

Answer:

$15

Step-by-step explanation:

370-40=330

12+10=22

330÷22=15

15*22=330

Uma professora de artes pediu aos alunos para montarem mosaicos unindo peças. Nesse mosaico, essas peças deveriam ficar sempre ligadas pelos vértices, não poderiam se sobrepor e não deveria sobrar espaço entre elas. Além disso, para fazer esse mosaico, essa professora solicitou que todos os alunos utilizassem octógonos regulares, como o que está apresentado abaixo.

M100839H6_1

Para compor esse mosaico, junto com esses octógonos, os alunos tinham à sua disposição as peças do quadro abaixo.

M100839H6_2

Quais dessas peças os alunos poderiam escolher para compor esse mosaico?

I e III.
I, III e IV.
I e IV.
II, III e IV.
III e IV.

Answers

Answer:

coloquei a letra d- II, III e IV

Step-by-step explanation:

Answer:

é a letra D (II, III e IV)

Step-by-step explanation:

se você reparar no ângulo interno da figura do octógono está mostrando 135º e a primeira figura que no caso não encaixa mostra 60º, fazendo essa soma daria um total de 195º, o que passa de 180º que é a metade de uma circunferência, então não daria certo, ficaria uma parte sobrando, não se encaixando no mosaico.

Pleasseee I’ll give BRAINLIEST

Answers

Answer:

It’s the third option

Step-by-step explanation:

Cuz 4^2 - 2^2 equals the third option

PLEASE HELPPPPPP me NOW IF U KNOW THE RIGHT ANSWER OMGGG

Answers

9514 1404 393

Answer:

  68°

Step-by-step explanation:

Chords of the same length subtend arcs of the same measure.

  Chord EF = Chord FG . . . . given

  Arc EF = Arc FG = 68°

A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent of $9,800 was donated to charity?

Answers

Answer:

They donated 6%.

Step-by-step explanation:

The total sales were $9800.

The amount donated is $588.

We want to know what percent of 9800 is 588.

Let's make an equation.

what percent of 9800 is 588

x/100 • 9800 = 588

Divide by 9800.

x/100 = 0.06

Multiply by 100.

x = 6

They donated 6%.

Hope this helps!

The line y=2x+5 would pass through which of the following points?
A(0,2)
B. (0,10)
C. (0,5)
D. (0,7)

Answers

Answer:

C:  (0, 5)

Step-by-step explanation:

The x-coordinates are all the same:  0.  In y = 2x + 5, the 2x term would be zero in all those cases, leaving only the y-intercept (5).  

We conclude that the line would pass through (0, 5), which is the y-intercept.

Can someone pls helpppp ASAP this is due in 25 min :(

For the right triangles below, find the values of the side lengths d and a.
Round your answers to the nearest tenth.

Answers

Answer:

a = 1.4 and d = 6.9

Step-by-step explanation:

To get the value of d and a, we will use the SOH CAH TOA identity

For the first tringle;

Opposite = d ((opposite angle 60 degrees)

Adjacent = 4

Tan theta = opp/adj

Tan 60 = d/4

d  = 4tan60

d = 4(1.732)

d = 6.9

For the second triangle;

Opposite = a

Hypotenuse = 2

Since sin theta = opp/hyp

Sin45 = a/2

a = 2sin45

a = 2(0.7071)

a = 1.4

Hence a = 1.4 and d = 6.9

A mortgage has the terms shown below:
Balloon mortgage
$300,000
25/5 balloon
6% annual rate
Initial Monthly Payment: $1932.90
What is the amount of the balloon payment rounded to the nearest dollar?

Answers

It is 2957272949283 rounded to the neared tenth of the number you out into the question