(( THIS GIVES 50 POINTS )) PLEASE HELP ASAP
A car company’s profit can be modeled by the equation P = –2x^2 + 44x – 42, where P is the profit in millions of dollars and x is the number of cars sold in thousands.
(a.) How many cars are sold when the company breaks even?
(b.) What is the company’s maximum profit? How many cars sold gives the maximum profit?

Answers

Answer 1

Answer:

a) 1000,21000 are the break even number of cars

b) the maximum profit is 200 at 11000 cars

Step-by-step explanation:

P = –2x^2 + 44x – 42

To break even, P =0

0 = –2x^2 + 44x – 42

Factor

0 = -2( x^2 -22x+21)

0 = -2 ( x-21)(x-1)

Using the zero product property

0 = x-21    0 = x-1

x=21            x=1

Remember that x is the number of cars in thousands

When the profit is maximum is at the vertex

The vertex is 1/2 way between the two zeros

(1+21)/2 = 22/2 = 11

11 cars sold

The maximum profit is

P(11) = –2(11)^2 + 44(11) – 42=--242+484-42=200

The maximum profit is 200


Related Questions

hi pls help i’ll give brainliest

Answers

Answer:

At the very tip of one of the spiral arms, at the edge of the milky way.

OR C

Forgive me if i'm wrong

...

Answer:

C. In one of the spiral arms, about halfway between the center and the edge.

Step-by-step explanation:

Our solar system is located in the Orion Arm which is halfway between the center and the edge of the Milky Way.

When graphing the coordinate (3,4) you would...

A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis

B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis

Answers

The answer is B

You would first move 3 coordinates over on the x axis and then 4 coordinates up the y axis.

Find x. Round to the nearest tenth

A: 5.0
B: 7.8
C: 3.9
D: 4.6

Answers

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{6}[/tex] ( multiply both sides by 6 )

6 × cos40° = x , then

x ≈ 4.6 ( to 1 dec. place ) → D

pls help me!!!!!!
ASAPPPPP

Answers

Answer:       1.185921/3

Step-by-step explanation:

Answer:

1/3 x 1/3 x 1/3 x 1/3 = 1/81

Step-by-step explanation:

You are multiply 1/3 by itself 4 times since it is to the power of 4.

Solve for r. Round to the nearest tenth of a degree, if necessary. P 5 3.1 Q R​

Answers

Answer:
51.7
Explanation:

help me plzzz plzzzzd​

Answers

Answer:

C

Step-by-step explanation:

Answer:

D should be the right answer

Step-by-step explanation:

for the other choices the grammar doesn't sound quite right to me

d. How much current is passing through each resistor?


e. Calculate the voltage drop across each resistor.



f. How does the voltage drop across each resistor compare to the voltage of the battery?





4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

5. Three resistors with values of 3 Ω, 5 Ω and 7 Ω are connected in a circuit, as shown. When the switch S1 is in the position shown on the diagram only two resistors, R1 and R2, are connected to the 36 V battery and the current is I1. If the switch is moved to it’s down position the third resistor R3 is connected in series to R1, R2, and the battery, producing a current I2. Find the current reading of the ammeter, I1 and I2, for the two different switch positions.

Answers

d. V=12 R=12
I=V/R so Current = 1 amp

e.3 ohm resistor
V=IR
V=3 V

At the 4 ohm
4 V
And at the 5 ohm
5 volts

f. The voltage drops across the resistors add up to give the voltage supplied by the battery

4

What’s #1?????? Plz help

Answers

Answer:

C) [tex]400\pi[/tex]

Step-by-step explanation:

The formula for area is

A=pi * radius ^2

If the diameter is 40, the radius is 20

Therefore

[tex]A=\pi 20^{2} \\A=\pi 400[/tex]

Find the value of each variable using sine and cosine. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy and paste the above on to your computer for future reference

n= Hyp

m= adj

8 = Opp

∠=50°

sin(50) = 8/n

n = 8/sin(50)

n = 10.44325

n= 10.4 ( to nearest 10th)

tan(50) =  8 / m

m = 8 / tan(50)

m = 6.712797

m = 6.7 ( to nearest 10th )

:)  

what is 15/3 equal to

Answers

Answer: 5

Step-by-step explanation:

Smh

The perimeter of the hexagon is 24 m.
What is the value of x?

Answers

Answer:

3.5

Step-by-step explanation:

add the two 5 and then subtract the perimeter which is 24 , so 24-10 is 14 then divide it by 4 for the missing sides and u get 3.5

The value of x in the given hexagon is 3.5 m.

What is the Perimeter of Hexagon?

Perimeter of Hexagon is equal to sum of all sides.

Here, Two sides are 5 m long

and remains 4 sides have length x m.

Perimeter = Sum of all sides

           24 = 2 X 5 + 4x

           24 = 10 + 4x

            4x = 24 -10

            4x = 14

            x = 14/4

            x = 3.5 m

Thus, the value of x in the given hexagon is 3.5 m.

Learn more about Perimeter from:

https://brainly.com/question/6465134

#SPJ2

Write the expression with fewer terms:
10x 2x

Answers

Answer:

12x

Step-by-step explanation:

Combine Like Terms

10x + 2x = 12x

65 +5.2(hour) which is the y-intercept

Answers

Answer:

65

Step-by-step explanation:

y = mx + b

b is the y-intercept

y = 5.2h + 65

65 is the y-intercept

The answer is 65 look above for an explanation. ^^^^

which of the following numbers is divisble by 3,6 and 9 Answers: A- 648
B- 3854
C- 499
D- 330

Answers

Answer:

A. 648

Step-by-step explanation:

(648÷3) = 216

(648÷6) = 108

(648÷9) = 72

Sorry I just needed help

Answers

The third one. Judging by the darts in the center.

Geometry (10th grade ) Circles
7 POINTS
How do I solve this ?

Answers

I think it’s 65 sorry if it’s wrong
the answer to ur question is b.65

A moving company charges $22.50 per hour plus a flat rate of $180 to help a person move from one house to another.
Joel would like to spend less than $315 to move.
How much time should Joel's move take to make sure the total cost is below $315?

Answers

It should take six hours for him to stay below $315 after you add the flat rate of $180. Goodluck :)
The first person that answered is correct just let you know!

Simone is making a scale drawing of a famous building. In reality, the building is 108 meters tall. In her drawing, the building is 4 ½ inches tall. How wide should the scale drawing be if the actual width is 48 meters?

Answers

4 1/2 over 108
? Over 48
Answer 2

50% of students change their major area of study after their first year in a program. A random sample of 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program. Has there been a significant decrease in the proportion of students who change their major after the first year in this program

Answers

Answer:

Hence, since z ( - 0.4 ) is greater than ( -1.65 );

we reject H₀, Null hypothesis,

Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program.

Step-by-step explanation:

Given the data in the question;

Let p = 50% = 0.5

Hypothesis;

Null hypothesis            H₀ : p ≥ 0.5

Alternative hypothesis H₁ : p < 0.5

x = 48

sample size n = 100

sample proportion p" = x / n = 48 / 100 = 0.48

significance value = 0.5

[tex]Z_\alpha[/tex] = -1.65

Test Statistics;

z = (p" - p) / √( p( 1 - p ) / n )

we substitute

z = (0.48 - 0.5) / √( 0.5( 1 - 0.5 ) / 100)

z = -0.02 / √( 0.25 / 100 )

z = -0.02 / √0.0025

z = -0.02 / 0.05

z = -0.4

Hence, since z ( - 0.4 ) is greater than ( -1.65 );

we reject H₀, Null hypothesis,

Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program

what is the domain of f(x) = - x2

Answers

Answer:

the domain is (-inf,inf)

Step-by-step explanation:

inf = infinity

Find the slope of the line.
(-2, 1)
)
(2, 1)
3-2-1

Answers

Answer:

(0-2)

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

A horizontal line has a slope of zero

Using the formula

m = (y2-y1)/(x2-x1)

    = (1-1)/(2 - -2)

    = 0/(2+2)

    = 0/4

BRAINLIEST FOR CORRECT ANSWER!! Kenny leaves home and walks 10 blocks east and 24 blocks north to get to the movie theater. How far is the movie theater from Kenny’s home if he were to take a direct path?

Answers

Answer:

8.568cm

Step-by-step explanation:

IF Kenny leaves home and walks 10 blocks east and 24 blocks north to get to the movie theater, his distance from home to the theatre is gotten using the pythagoras theorem as shown;

d² = 23² + 10²

d² = 529 + 100

d² = 629

d = √629

d = 8.568

Hence the required distance is 8.568cm

A plumber charges customers $45 for a service call plus $60 per hour of repair. The expression below can be used to determine the total dollar amount of charges based on h hours of repair.

45
+
60
h

Which expression can also be used to determine the total dollar amount of charges?

A.
105
h

B.
675
h

C.
15
(
3
+
4
h
)
D.
15
(
30
+
45
h
)

Answers

A or b not to sure hope this helps

Answer:

,

Step-by-step explanation:

Will mark brainliest. Help

Answers

Answer:

D

Step-by-step explanation:

2f(x+1)-0 = 2f(x+1). The lowest point of the function is (1, 0), which matches up with the equation. No other equation has this coordinate as the lowest point, therefore it can only be D

Question 3 of 10
What type of angle is angle M?

Answers

Answer:

it is a right angle

Step-by-step explanation:

hope this helps

Answer:

right

Step-by-step explanation:

Angle M is a right angle...

which if u find u will get 90...

Where is the blue dot located on the number line

Answers

-19 it goes back by threes so count back and you get negative 19
Answer:  -19

===================================================

Explanation:

Use the midpoint formula to find the midpoint of -10 and -4

A = -10 = left endpoint

B = -4 = right endpoint

C = midpoint of A and B

C = (A+B)/2

C = (-10+(-4))/2

C = -14/2

C = -7

The value -7 is exactly midway between -10 and -4, so that's the missing tickmark between those values. Consequently, it also means each gap is 3 units wide (i.e., distance from -10 to -7 is 3 units).

Start at -10 and subtract 3 to move to the left by that amount. Do this three times to follow this pattern:

move from -10 to -13move from -13 to -16move from -16 to -19

The blue dot is located at -19

What Is The Area Of The Triangle?

Answers

Answer:

It's 35, I don't think you need an explanation but if you do ask!

The area of the triangle is 35

BxH/2

10 x 7/2

= 70/2
= 35

what two fractions divided by each other equal 11/15

Answers

Answer:

11/9 and 3/5

Step-by-step explanation:

1st equation:  3n/5 = 11/15

multiply each side by 5/3 to get:

n = 55/45 or 11/9

2nd equation:  11n/9 = 11/15

multiply each side by 9/11 to get:

n = 99/165 which reduces to 3/5

express (3-i)^2 in standard form

Answers

Step-by-step explanation:

=3^2- 2×3×i + i^2

=9- 6i + i^2

See the picture below

Answer the picture fast and correct

Answers

Answer:

8.75

Step-by-step explanation:

( 4×8) +3 = 35/4= 8.75

Answer:

8.75

Step-by-step explanation:

I think sorry that's only i know

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