HELP!! Pauline Wong spends 3hours selling a used car and 5hours selling a new car. She works no more than 31hours per week. In order to receive a bonus, she must sell at least twoused car and twonew cars each week. In that case, she receives a bonus of $200for each used car and $300for each new car. How many new cars and how many used car should she try to sell to maximize her bonus? What is the maximum bonus?
a) Define the variables to use
b) Goal function
c) Constraints

Answers

Answer 1
The correct answer is b
Answer 2

Answer:

B)Goal Function


Related Questions

Find csc 0, sin 0, and cot 0, where is the angle shown in the figure. Give exact values, not decimals approximations. (LISTING BRAINLEST PLZ I NEED HELP)​

Answers

Answer:

see explanation

Step-by-step explanation:

first fill out all sides of the triangle (use pythagorean theorem).

9^2 = 4^2+x^2

x^2 = 81-8 --> x^2 = 73 --> x = √73

csc theta --> hyp/opp

sin theta --> opp/hyp

cot theta --> adj/opp

hyp = 9, adj = 4, opp = √73

csc = 9/√73 --> 9√73/73

sin = √73/9

cot = 4/√73

If a = 5, then what is the value of -(-a)?

Answers

Answer:

5

Step-by-step explanation:

It will remain 5 because two negatives make a positive.

-(-5) = 5

Hope this helps.

Answer:

5 ( REMEMBER TWO NEGATIVES MAKE A POSITIVE)

Step-by-step explanation:

When there is a - in front of an expression in parentheses, change the sign of each term in the expression 5

Insert a digit to make the number divisible by 24 if possible:
44_8
pls help

Answers

Answer:

it's 4488 Wich would make 187

Susan’s ribbon is 3.8 metres long.
What is the length of her ribbon in millimetres?

Answers

Answer:

the answer is 3800mm.because 1m is 1000mm

Currently offering 100 points.

The dot plots below show the ages of students belonging to two groups of music classes:


Based on visual inspection, which group most likely has a lower mean age of music students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.

Answers

Answer:

a ?

Step-by-step explanation:

Answer:

I'm pretty sure it's A? makes more sense

The missing number in the arithmetic sequence 60, 51,
33 is:
43.
41.
ОООО
40.
42.

Answers

Step-by-step explanation:

missing where ?

I guess you mean that there is one element missing between 51 and 33 (based on the readable answer options).

if that is true, then the missing element is 42.

the difference between 60 and 51 is 9.

the difference between 51 and 33 is 18.

if there is an engender missing in between 51 and 33, then it is logical to put it in the middle cutting the interval of 18 in half to 2 times 9. which is also supported by the first interval between 60 and 51 (9).

so, it would be 51 -9 = 42

A planet has a circumference of approximately 39,750 km. with this circumference, what is it's radius?

the radius of the planet is_____ (round to the nearest integer as needed)

use the measurement above to determine the length of an arc from the North Pole of the planet to the Equator. ​

Answers

Answers:

radius = 6326 kmdistance from north pole to equator = 1582 km

These values are approximate

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

Explanation:

The circumference formula is

C = 2*pi*r

which rearranges to

r = C/(2pi)

when solving for r.

Plug in the given circumference to find that

r = C/(2pi)

r = (39,750)/(2pi)

r = 6,326.40898790283

For the sake of the most accuracy possible, I'm using my calculator's stored version of pi (and not something like pi = 3.14); if your teacher requires you to use pi = 3.14 then follow those instructions of course.

The radius is roughly 6326 km when rounded to the nearest integer.

Keep in mind that the earth isn't a perfect sphere, but rather a slightly squished one. This means the earth is slightly fatter than it is tall. However, for the sake of this problem, we'll assume it's a sphere.

------------------------

Once you determine the circumference, aka distance around the circle, we can figure out the next problem: determining the distance from the north pole to the equator. This distance runs along a line of longitude, so it's a north-south distance.

Again, imagine the earth is a perfect sphere. This means that the equator circumference is the same as the circumference as a full longitude line when we travel the globe only along that line. In other words, start at the north pole, travel along that specific longitude only until you reach the south pole. Then staying on that line, travel back to the north pole going around the backend of the earth.

That full circular path we traveled will get cut into 1/4 because 1/2 the circumference is the portion from north to south pole, and then we cut that distance in half when going from north pole to the equator.

(1/4)*(6,326.40898790283) = 1,581.6022469757

That rounds to 1582 km

------------------------

Side notes:

39750 km = 24700 miles (approximate)6326 km = 3931 miles (approximate)1582 km = 983 miles (approximate)To convert from km to miles, you divide by roughly 1.609344

Write an equation of a function with each domain:
a. [ 2 , ∞ )
b. ( -∞ , ∞ )

Answers

Answer:

a. [ 2 , ∞ )

Step-by-step explanation:

Boxers in the nineteenth century used their bare fists. In modern boxing,

fighters wear padded gloves. How do gloves protect the brain of the boxer from

injury?​

Answers

Answer:

boxers get injured but it is good to have some security on your fist and for those who do do boxing it's nice to have some security

Please show work. What is the volume of the figure?

Answers

Answer:

Volume = 288 in.³

Step-by-step explanation:

Volume of the solid = volume of the cube + volume of the square pyramid

V = a³ + ⅓*a²*h

a = 6 in.

h = 12 - 6 = 6 in.

Plug in the values into the volume formula

Volume = 6³ + ⅓*6²*6

Volume = 216 + 72

Volume = 288 in.³

Pamela's age is three times Jiri's age. The sum of their ages is 28 . What is Jiri's age?

Answers

Answer:

So, if we say Jiri's age is j (we can pick any letter), then Pamela's age is 2j, right?

j + 2j = 72

j is the same as 1j, but we wouldn't call you 1James, just James.

3j = 72

To isolate j, we do the opposite operation to both sides.

3j/3 = 72/3

j/j = 1, so that cancels out. 72/3 = 24.

j = 24

Jiri is 24 years old.

Answer:

Jiri is 7 years old.

explanation:

3j + j = 28

4j = 28

4j/4 = 28/4

j = 7

this can be proven:

Pamela's age: 3×7 = 21

the sum of their ages = 28

7 + 21 = 28

graph the number that represents the situation on a number line. please help with this question i will mark you brainliest!

Answers

Answer:

OMGGGG OMGGG I NEEDTHIS QUESTION TOOOOOO

Applications and Reasoning:
4. Find the sum of: 300 + 301 + 302 + 303 + 304 + ... + 1239.

Answers

hope it helps you see the attachment for further information

Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities is:

Answers

Answer:

Probability[Number of 6 random sample do not have cavities] = 0.8

Step-by-step explanation:

Given:

Number of student do not have cavities = 60%

Number of random sample = 9 children

Find:

Probability[Number of 6 random sample do not have cavities]

Computation:

n = 9

p = 60% = 0.6

P(At least 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)

Probability[Number of 6 random sample do not have cavities] = 0.8

The probability of 9 children selected from this school, at least 6 do not have cavities is 0.80.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Sixty percent of all children in a school do not have cavities.

The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities will be

n = 9

p = 0.60

Then we have

[tex]\rm P = 1 - P(less \ than \ or \ equal \ 6)\\\\P = 0.8[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

A television costs $450. During a special sale, it’s marked 1⁄3 off. What’s the sale price of the TV?

Answers

Answer:

The sale price of the TV is $ 300.

Step-by-step explanation:

Given that a television costs $ 450, but during a special sale, it’s marked 1⁄3 off, to determine what’s the sale price of the TV the following calculation must be performed:

1/3 = 0.333

1 - 0.333 = 0.666

450 x 0.666 = X

300 = X

Therefore, the sale price of the TV is $ 300.

Think of 5 positive integers that have a mode of 4, a median of 8, a mean of 9 and a range of 12 what are the 5 integers

Answers

Answer:

{4, 4, 8, 13, 16}

Step-by-step explanation:

If we have a set of N numbers in order:

{x₁, x₂, ..., xₙ}

The median is the middle number of the set.

The mode is the value that is repeated more times in the set

The mean is computed as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the range is the difference between the largest value and the smallest value.

Here we want 5 positive integers, so we have something like:

{x₁, x₂, x₃, x₄, x₅}

We know that the median is 8.

Then the middle value, x₃, is equal to 8.

We also know that the mode is 4, then we can have the number 4 repeated two times, and because 4 is smaller than 8 and this must be in order, then we can have:

x₁ = x₂ = 4

Replacing these in the set we have:

{4, 4, 8, x₄, x₅}

Now we know that the range is 12, and this was the difference between the largest and smallest value.

We know that the smallest value is 4, and the largest value is x₅, then we will have:

x₅ - 4 = 12

x₅ = 12 + 4 = 16

Then our set is:

{4, 4, 8, x₄, 16}

Finally, we know that the mean is 9.

Remember that the equation for the mean is:

[tex]M = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]

Then we need to solve:

[tex]9 = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]

[tex]9*5 = 4 + 4 + 8 + x_4 + 16}[/tex]

[tex]45 = 32 + x_4[/tex]

[tex]45 - 32 = x_4 = 13[/tex]

Then the set of five positive integers is:

{4, 4, 8, 13, 16}

Which point is a good approximation of a turning point
of the graph?
0 (-1.5,3)
0 (-0.5, -1)
0 (0,0)
O (1.0)

Answers

Answer:

(-0.5, -1)

Step-by-step explanation:

A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising)

Using the following image, solve for FE

Answers

Answer:

FE = 3

Step-by-step explanation:

FE + ED = 11.

(2x - 17) + (x-2) = 11

Combine like terms, and you'll get:

3x -19 = 11

3x = 11+19 = 30

x = 10

FE = 2x - 17

= 2(10) - 17

= 20 - 17

= 3

Find the area of circle H

Answers

Answer:  AREA OF H IS S= R4

Step-by-step explanation:

What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and $25.50 in year 2? NEED FAST REALLY IMPORTANT IF CORRECT WILL MARK AS BRAINLIEST

Answers

Answer:

The answer is A, the CPI is 25.50, and the rate of inflation is 2%.

Step-by-step explanation:

I took the test and I know the correct answer. :)

Answer:

E) 102 and 2%

Step-by-step explanation:

If the graphs of the linear equations shown below are perpendicular, what is the value
of a?
y = 3x +8
2y = ax - 5

Answers

Answer:

[tex]a=-\frac{2}{3}[/tex]

Step-by-step explanation:

We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:

[tex]y=3x+8[/tex] and

[tex]y=\frac{a}{2}x-2.5[/tex]

The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:

[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]

I hope this helps! Let me know if you have any questions :)

78, 68, 75, 65, find the next term

Answers

Answer:

73,63

Step-by-step explanation:

it just goes down by 2 everytime

A laundry basket contains 15 socks, of which 5 are yellow.
What is the probability that a randomly selected sock will be yellow?
Write your answer as a fraction or whole number.

Answers

Answer:

5/15

Step-by-step explanation:

Out of 15, 5 are yellow. Converted to a fraction this will be 5/15. Hope this helps!! :)

Answer:

1/3

Step-by-step explanation:

Take the total number of socks and compare it to the number of yellow socks. 15 and 5. Now divide the total by the specified group (yellow socks), by doing so, you get 3.

Every 1 in 3 socks is yellow, meaning the chance of picking a yellow sock at random is 1/3.

Calculate the sum of the first 20 terms of an arithmetic sequence with the 3rd term 8 and the 8th term 143.

Answers

Answer:

4670

Step-by-step explanation:

that is the workings above

If the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.

What is arithmetic progression?

Arithmetic progression is a sequence in which all the terms have equal differences. Nth term will be a+(n-1)d in which a is first term, d is difference and n is number of term.

How to calculate sum?

We have been given that third term is 8 and eight term is 143 and we have to calculate the sum of first 20 terms.

[tex]A_{3}[/tex]=a+(3-1)d

8=a+2d-----1

[tex]A_{8}[/tex]=a+(8-1)d

143=a+7d---2

Subtract equation 1 from equation 2.

a+7d-a-2d=143-8

5d=135

d=27

Put the value of d in equation 1.

a+2d=8

a+2*27=8

a+54=8

a=-46

We know that,

[tex]S_{n}[/tex]=n/2[2a+(n-1)d]

=20/2[2*(-46)+(20-1)*27]

=10(-92+19*27)

=10(-92+513)

=10*421

=4210

Hence if the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.

Learn more about arithmetic progression at https://brainly.com/question/6561461

#SPJ2

Complete the transformations below.
Then enter the final coordinates of the figure.
A
(2,4)
B
A” ([?], [])
15,2) B" ([], [])
C" ([], 1)
C(3,1)
1) <-3, -2>
2) Dilate K = 4
Enter
will give brainliest

Answers

Answer:

[tex]A(2,4)<-3,-2)A'(-1,2)>A''(-4,8)[/tex]

[tex]B)(5,2)-> B'(2,0)->B''(8,0)[/tex]

[tex]C(3,1)->C'(0,-1)->C''(0,-4)[/tex]

[tex](x,y)->(x-3,y-2)->([(x-3)*4],[(y-2)*4])[/tex]

-------------------------hope it helps...have a great day!!

What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
X
12
D 4 B
A. 3.1
O
B. 12
C. 6.9
O D. 4

Answers

Answer:

O A. 3.1

Step-by-step explanation:

it's correct if I'm rwong (*´ω`*)

Answer: The answer is C. 6.9

Step-by-step explanation:

Jessie has three one-gallon containers. The first one has 1/5 of a gallon of juice, the second has 1/5 gallon of juice and the third has 1/5 gallons of juice. How many total gallons of juice does Jesse have? ​

Answers

3/5 of a gallon which is .6 of a gallon


What is the perimeter of an isosceles triangle with one side that
measures 5 ft. and two sides that measure 11 ft. each?

Answers

The perimeter is 27, to
find the perimeter you just add all sides nothing too special hope this helped!

Can anyone help me with this problem

Answers

9514 1404 393

Answer:

  8. A = {Delaware, New Jersey, Pennsylvania}

  9. |B| = 3

Step-by-step explanation:

8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:

  A = {Delaware, New Jersey, Pennsylvania}

__

9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.

  |B| = 3

Math Escape Level 3 plz hurry it is due to today bestie

Answers

Answer:

1

Step-by-step explanation:

x-9=-8

x=-8+9

x=1

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