An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?

Answers

Answer 1

Answer:

60

Step-by-step explanation:

math

Answer 2

Answer:

60

Step-by-step explanation:

The function for the total profit is going to be [tex]f(x)=(20+x)(100-x)[/tex] because the profit is the number of paintings multiplied by the number of dollars per painting, and for each additional painting the cost goes down by one. Multiplying this out, you get the quadratic function [tex]f(x)=-x^{2}+80x+2000[/tex]. We are trying to find the maximum, or the vertex, and we do not care about the y-coordinate of the vertex, which is the dollar amount, we only care about the x coordinate. We can find the x coordinate by using [tex]-b/2a[/tex] , which gives -80/-2 or 40. Now, we must remember that we started with 20 paintings, so adding 20 to 40 we get 60, the final answer.


Related Questions

noun phrase
verb phrase
adverbial phrase
Sentence
We worked on the framework for a very long time.
He has been playing the cello at schools for ages.
Fen people understood Michelle's exaggerated explanation.

Answers

Answer:

1.) Verb phrase

2.) Noun phrase

3.) Adverbial phrase

f(x)=x/2-3 and g(x)=3²+x-6 find (f+g)(x)

Answers

Answer: X=3

Step-by-step explanation:

a boy is older than his sister by 3 years five years ago, the ratio of their ages was 4 : 3 find his present.​

Answers

B:S = 4x:3x
4x - 3x = 3
x = 3
They were 12 & 9.
Add 5 to that.
So he’s now 17 and she’s 14

Answer:

five years ago -- boy-   x+3 years

                           sister ---  x

ratio-- 4:3  so difference is 3 years

4-3-- 1   1--3

five years ago ---  sister  :3*3--9   brother : 4*3--12

present : sister 14 years and brother 17 years old

 

Step-by-step explanation:

-(8x) . 3x^2 please help​

Answers

Answer:

− 24 x 3

This is if you multiply the expressions

find an equation for the line that passes through the points (5, -4) and (1, -2)

Answers

Answer:

y=-3/2x-.5

Step-by-step explanation:

(5,-4) and (1,-2)

Step 1: find slope:

-4-2/5-1=-6/4=-3/2

y=mx+b

y=-3/2x+b

2.: Plug in point

(1,-2)

-2=-3/2*1+b

-2=-3/2+b

-2+3/2=b

b=-.5

A cylinder has a circular base with diameter of 20 inches. What is the volume of this cylinder with the height of 11 inches?

HELP PLEASE

Answers

Answer:

3455.75

Step-by-step explanation:

Which shows the correct substitution of the values ab and c from the equation 0 = - 3x ^ 2 - 2x + 6 into the quadrati formula?

Answers

The answer would look something like this:

[tex]\frac{2+-\sqrt{2^{2}-4(-3)(6) }}{2(-3)}[/tex]

There could also have a simplified version.

I hope this helps.

There were 144 people in attendance at the school football game last Friday. This week there were 346 people in attendance at the school football game.What is the percent of change from last week to this week?Round your answer to the nearest whole number

Answers

Answer: 140%

Step-by-step explanation:

STEP 1: FIND THE CHANGE IN # OF PEOPLE:

initial # of people: 144

final # of people: 346

change in # of people = (final - initial)

change in # of people = (346 - 144)

change in # of people = 202

STEP 2: FIND THE % CHANGE

202/144 = x/100

(100)(202/144) = x

100(1.4) = x

140% = x

Answer:

140 %

Step-by-step explanation:

(346-144)/144 * 100

(202/144) * 100

Extending Patterns What is the value of y when x = 0? When x = 0, y = .
HURRY PLS

Answers

Answer: 0

Step-by-step explanation: it would only be a different number if there’s an equation like y=2x 3

0000000000000000000000

Step-by-step explanation:

Need the answer to this one please

Answers

The answer is A.

I used a graphing calculator.

Answer:

the first one

Step-by-step explanation:

slope: use rise-over-run theorem. the slope of the graph rises -2 for every 1 unit over, so slope is -2x

intercept: the line crosses the y-axis at y=3, hence +3

put it together: y=-2x+3

Devon started the week with $50 in his checking account. On Monday he took $20 out of the
account. On Tuesday, the balance of Devon's account changed to $0. Which value best
represents the change to his account balance on Tuesday?

Answers

Answer:

see below

Step-by-step explanation:

Starting with 50

Took out 20

50-20 = 30

Then the balance was 0

We need to subtract 30 to get to get to 0

30-30 = 0

Taking out 30

Withdrawing 30

Spending 30

All are ways of indicating taking out 30 dollars

Answer:

On Tuesday, Devon took 30 dollars out of his checking account.

Step-by-step explanation:

Starting with: $50        -        Ending with $0

Monday: took out $20 or in other words -20   50-20=30

Tuesday: undetermined, but since that was his last day, it would correspond with $0 so, he must've took out $30 and then ended up with none in the end.

30-30=0

So, he took 30 dollars out on tuesday.

Which word or words best complete the sentence? Two intersecting lines are _____ in the same plane.

Answers

Answer:

Two intersecting lines are co-planar in the same plane.

Hope this helps!

:)

Answer:

the answer is always

Step-by-step explanation:

I just took the quiz and got it right.

On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2). Trapezoid ABCD is graphed in a coordinate plane. What is the area of the trapezoid? 16 square units 24 square units 32 square units 48 square units

Answers

Answer:

Correct option: second one -> 24 square units

Step-by-step explanation:

First we need to find the length of each side of the trapezoid, and we do that finding the distance between points:

AB = sqrt( (-1 - (-3))^2 + (2 - (-2))^2) = 4.4721

BC = sqrt( (3 - (-1))^2 + (2 - 2)^2) = 4

CD = sqrt( (5 - 3)^2 + (-2 - 2)^2) = 4.4721

DA = sqrt( (-3 - 5)^2 + (-2 - (-2))^2) = 8

The points B and C have the same y-coordinate, and the points D and A also have the same y-coordinate, so they are the bases of the trapezoid.

The height of the trapezoid is the difference in y-coordinate of points B and A:

height = 2 - (-2) = 4

So the area of the trapezoid is:

Area = (BC + DA) * 4 / 2 = (4 + 8) * 2 = 24 square units

Correct option: second one

Answer:

Its B

Step-by-step explanation:

Help!!!
Explain to Noah Clue why the following logarithmic properties are true. Be sure to demonstrate with examples and explain it well enough so that Noah could relay the information to Atta Loss with authority.
log (a•b) = log (a) + log (b)
b
log (a ) = b•log (a)

Answers

Option a is true {log(a.b)}=log(a) +log(b)

What is the sum?

-5 + (20) =

Answers

Answer:

15

Step-by-step explanation:

-5+20=20-5

15

If the soccer team paid $5 for 15 hamburger, then what is the price of one hamburger?

Answers

Answer:

$0.33 per hamburger

Step-by-step explanation:

You know that the team paid $5 for 15 hamburgers, then you need to divide the cost of all the hamburgers, ($5) by the number of hamburgers. 5/15 = 0.33 repeating. This means that they paid $0.33 per hamburger.

Answer:The answer is 80

5, 10, 15, 20, 25, 30, 35,40, 45, 50, 55, 60, 65, 70, 75, 80.

Solve the simultaneous equations
2x - 3y = 18
5x + 9y = -10​

Answers

Answer:

2x - 3y = 18  (1)

5x + 9y = -10​   (2)

<=>

Multiply both sides of (1) by 5, and multiply both sides of (2) by 2, then:

10x - 15y = 90

10x + 18y = -20

Subtract (2) to (1):

=> 33y = -110 => y = -110/33

Substitute y back into (1):

=> 2*x - 3*(-110/33) = 18

=> 2*x + 10 = 18

=> 2*x = 8

=> x = 4

=> Solution: x = 4, y = -110/33

Hope this helps!

:)

Answer: x=4 y= -10/3

Step-by-step explanation:

Look at the attachment. It should explain.

ray cuts out a figure that has 4 equal sides and no right angles. what is the best name for the figure?​

Answers

Answer:

Trapezoid

Step-by-step explanation:

None

Answer:

trapezoid

Step-by-step explanation:


What is the slope of the line of best-fit in the scatterplot below?

Answers

Answer:

Option C

Step-by-step explanation:

Using the slope formula and the points in the picture: (3,12) (6,19)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{19-12}{6-3}=\frac{7}{3}[/tex]

The slope of the line is 7/3.

Option C should be the correct answer.

Answer:

Your correct answer is option C. 7/3

Step-by-step explanation:

what is the greatest common factor 30y^8 + 10y^4

Answers

Answer: 10y^4

Since it can go 10y^4(3y^4+1)

Step-by-step explanation:

Answer:

10y^4

Step-by-step explanation:

in order to solve you would have to find the prime factors of each term i order to find the GCF.

hope this helped ;)

Solve the equation for y: -8x + 4y = 20
es
A)
y = 2x - 5
B)
y = 2x + 5
)
y= {x+5
yox=20
D)

Answers

Answer:

Step-by-step explanation:

4y = 20 + 8x

y = 5 + 2x

Answer:

Option B

Step-by-step explanation:

-8x + 4y = 20

[tex]-8x+8x+4y=20+8x \leftarrow \text {Addition Property of Equality.}\\4y=20+8x\\\\\frac{4y}{4}=\frac{20+8x}{4} \leftarrow \text {Division Property of Equality.}\\y=5+2x\\\boxed {y=2x+5}[/tex]

Option B should be the correct answer.

Please answer correctly !!!! Will mark BRAINLIEST !!!!!!!

Answers

Answer:

g(n) = [tex]\frac{11+5n}{3}[/tex]

Step-by-step explanation:

Given

3m - 5n = 11

Rearrange making m the subject

Add 5n to both sides

3m = 11 + 5n ( divide both sides by 3 )

m = [tex]\frac{11+5n}{3}[/tex] , thus

m = g(n) = [tex]\frac{11+5n}{3}[/tex]

7. How would you solve this equation: 9x = 153? *
Multiply
Divide
Add
Subtract

Answers

You would need to DIVIDE by 9

Answer:

x=17

Step-by-step explanation:

divide both sides of the equation by 9

find the value of JW given that JW=6x+2 and JB=10x+1

Answers

The value of JW is 14 units.

What is a triangle?

A triangle is a polygon with 3 sides. The area of a triangle with base b and height h is given by A = (1/2)bh.

Given that, JB is the median of the triangle and JW = 6x + 2 and JB = 10x + 1.

The distance between the centroid and a vertex of a triangle is 2/3 of the length of the median, therefore, it follows:

JW = (2/3)JB

Substitute the values:

6x + 2 = (2/3)(10x + 1)

18x + 6 = 20x + 2

2x = 4

x = 2

Substitute x = 2 into the expression for JW:

JW = 6(2) + 2

JW = 14

Hence, the value of JW is 14 units.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ2

Consider that the roots of a cubic equation with integral coefficients are 2, -1, and 4. Which choice is the cubic equation?
es )
A
x3 + 5x2 + 2x + 8 = 0
B)
x3 - 5x² + 2x + 8 =0
C)
x3 - 5x2 + 2x - 8 = 0
D)
x3 - 5x? –2x - 8 = 0

Answers

It’s B. That the only one

I need help PLZ!
I'm not too sure if I got the right answers or not.
I put, > < > > > (left to right). Is this right?

Answers

Answer:

yee

Step-by-step explanation:

yee

Combine like terms to create an equivalent expression

-3.6 - 1.9t + 1.2 + 5.1t

Answers

Answer:

3.2t-2.4

Step-by-step explanation:

-3.6 - 1.9t + 1.2 + 5.1t

Combine like terms

-3.6+ 1.2  - 1.9t +5.1t

-2.4        + 3.2t

Answer:  3.2t-2.4

Step-by-step explanation:

First thing you need to do is do   -1.9t+5.1t= 3.2t. Then you do -3.6+1.2= -1.2.

Then put all this together and you get 3.2t-1.2. (do not do 3.2t+-1.2 this incorrect because we left the subtracting sign

Which equation is represented by the graph below?

Answers

Answer:

Option 3 y=ex-3 hoping this helps

If sin a-b =1/2 and cos a+b =1/2 Find a and b

Answers

Answer:

[tex]a = \frac{1}{2} [/tex]

[tex]b = 0[/tex]

Step-by-step explanation:

[tex]a - b = \frac{1}{2} \\ a + b = \frac{1}{2} \\ \\ a - b + a + b = \frac{1}{2} + \frac{1}{2} \\ a + a = \frac{2}{2} \\ 2a = 1 \\ \frac{2a}{2} = \frac{1}{2} \\ a = \frac{1}{2} [/tex]

[tex]a + b = \frac{1}{2} \\ \frac{1}{2} + b = \frac{1}{2} \\ b = \frac{1}{2} - \frac{1}{2} \\ b = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!!

please answer asapppp!!! i will give brainliest to whoever helps and does it 100% please i need help.

Answers

1.If the slopes of each equation are the same, they are parallel. If the slopes are the opposite reciprocal of each other, they are perpendicular.
2. The equations are parallel, here’s my work:
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