The profit function p(x) of a tour operator is modeled by p(x) = −2x2 + 900x − 40000, where x is the average number of tours he arranges per day. What is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $60,000?
between 200 and 250; exclusive
between 200 and 250; inclusive
less than 250
more than 200

Answers

Answer 1

Solving the quadratic function, it is found that the range is of:

between 200 and 250; inclusive

The profit for x tours is modeled by the following equation:

[tex]p(x) = -2x^2 + 900x - 40000[/tex]

It is concave down, so the monthly profit will be of at least $60,000 between the two roots when [tex]p(x) = 60000[/tex]. Thus:

[tex]60000 = -2x^2 + 900x - 40000[/tex]

[tex]2x^2 - 900x + 10000 = 0[/tex]

Simplifying by 2:

[tex]x^2 - 450x + 50000 = 0[/tex]

Which has [tex]a = 1, b = -450, c = 50000[/tex]

Then:

[tex]\Delta = (-450)^2 - 4(1)(50000) = 2500[/tex]

[tex]x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250[/tex]

[tex]x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200[/tex]  

At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:

between 200 and 250; inclusive

A similar problem is given at https://brainly.com/question/25181401


Related Questions

A train travels at a constant rate of 45 miles per hour
What is the distance, d, in miles ,that the train traves in t hours?

Answers

Answer:

d=45t

Step-by-step explanation:

Plug 1 in for t

d=45(1)

d=45

so after one hour, the train travels 45 miles

hihi please solve ( will mark brainliest ❥ )

Answers

Answer:

use calculator and then solve it╮(─▽─)╭

cora plans to buy some calligraphy pens priced at $5 each

Answers

whats the question? how many is she buying? or how many can she afford?

Lillian's bedroom door is 9 feet tall and 3 feet wide. A new door would cost $3.00 per square foot. How much would a new bedroom door cost in total?

Answers

Answer:

$81.00

Step-by-step explanation:

First find the square feet:

9*3= 27

Then find total cost:

27*3= 81

Hope this helps! :)

are two of the same looking triangle but different sizes mean they are congruent? ​

Answers

Answer:

No

Step-by-step explanation:

They are similar

Answer:

Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol

Step-by-step explanation:

which graph represents the equation y=-4/3x-2

Answers

Answer:Y = 3x2+ 4

When equation is in the form of y = Ax2 + Bx + C, it is in standard form.

A = 3, B = 0

Since A is positive, the graph opens upward.

Vertex is the lowest point on the graph.

The x coordinate of the vertex occurs at -B/2A

X =-B/2A = -0/2(3) = 0

To find the y-coordinate, we substitute 0 and solve for y

Y = 3(0)2 + 4 = 4

The vertex is at (0,4) ... the lowest point on the graph

From here, you can construct a table of values for x, and solve for y to obtain points on the graph.

Good x values to pick are -2, -1, 1, and 2

The domain is all the x-values for which the function is defined, The function is defined for all real values of x.

The domain is all real numbers. { x | x is a real number }

The range is all the y values obtained from input of the x-values.

The smallest y value is 4, the largest is positive infinity.

The range is all real numbers ≥ 4. { y | y ≥ 4 }

Find the point if intersection of these two lines using algebra.Y= -x+3 and y=3x+2

Answers

Answer:

x = 1/4, y = 11/4

Step-by-step explanation:

hope this helps

solve −2 1/4⋅(−2 1/3)

a −5 1/4
b −4 1/1
c 4 1/12
d 5 1/4

Answers

Answer:

5 1/4

The answer is d (d 5 1/4)

Answer: D

Step-by-step explanation:

[tex]-2\frac{1}{4}[/tex] × [tex]-2\frac{1}{3}[/tex]

= [tex]\frac{-9}{4}[/tex] × [tex]\frac{-7}{3}[/tex]

= [tex]\frac{3}{4}[/tex] × [tex]7[/tex]

= [tex]\frac{21}{4}[/tex] or [tex]5\frac{1}{4}[/tex]

please give me a brainliest answer

Please help on geometry

Answers

1. OQP
2. OQR

Subscribe to Dolan darker

50 POINTS!
PLEASE HELP THIS MAKES NO SENSE AT ALL!! IM BEING TIMED

Answers

Answer: the last one i think if i'm wrong then im so sorry

write the equation of the line perpendicular to the given line y= -2/3 x + 1

Answers

since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)

using the formula y=mx+c

y=2/3x +1

m1=2/3

m2= -1/2/3

m2= -3/2

the slope of the second line is -3/2 and it passes through the point(3,-2)

using the formula y-y1 = m(x-x1)

y-(-2)= -3/2(x-3)

y+2= -3/2(x-3)

multiply both sides by 2

2(y+2) = -3(x-3)

2y+4 = -3x+9

2y = -3x+5

y= -3/2x + 5/2

find the postive value of x when y = 25

Answers

2/5 , i dont have an explanation but maybe try that! I just did the math on paper

What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.

Answers

Applying Newton's Second Law, it is found that the force, in Newtons, is given by:

[tex]F = 10[v(21) - v(16)][/tex]

Newton's Second Law states that Force, in Newtons, is mass times acceleration, that is:

[tex]F = ma[/tex]

In this problem, mass of 50 kg, thus [tex]m = 50[/tex]

Acceleration is change in velocity divided by change in time, that is:

[tex]a = \frac{\Delta_v}{\Delta_t}[/tex]

In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:

[tex]\Delta_t = 21 - 16 = 5[/tex]

[tex]\Delta_v = v(21) - v(16)[/tex]

Thus, the force is given by:

[tex]F = ma[/tex]

[tex]F = m\frac{\Delta_v}{\Delta_t}[/tex]

[tex]F = 50\frac{[v(21) - v(16)]}{5}[/tex]

[tex]F = 10[v(21) - v(16)][/tex]

A similar problem is given at https://brainly.com/question/18801986

Determine if the following are true or false statements.

- If it is below 32° outside, then it is snowing. T or F

- If m∠2=25°, then it is an acute angle. T or F

- If two angles are supplementary, then they add up to 180°. T or F

- If two angles are complementary, then they are both 45° T or F

Answers

Answer:

1. T

2. T

3. T

4. F

Step-by-step explanation:

1. The tempature must be 0 degrees celcus or 32 degrees fahrenheit or below to snow.

2. An acute angle is less than 90 degrees

3. Supplementary angles are 2 angles that add up to 180.

4. Complementary angles are any 2 angles that add up to 90 degrees BUT they do not have to be only 45 degrees and can be any 2 degrees that add up to 90.

Given g(x)=-x+3g(x)=−x+3, find g(1)

Answers

Answer:

g(1) = 2

Step-by-step explanation:

g(x)=−x+3

g(1)=

Let x = 1

g(1) = -1+3 = 2

Translate the following phrase into an algebraic expression. Use the variable b to represent the unknown quantity.

The number of soda bottles split 5 ways ​

Answers

Answer:

s/5=b

Step-by-step explanation:

The required expression is n/5 = b

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

We have the variable b to represent the unknown quantity.

The expression,

the number of soda bottles split 5 ways.

That means,

Let n be the number of soda bottles.

So,

using division operation,

n / 5 = b

Therefore, the expression is n/5 = b.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ1

What do I choose? PLEASE HELP!! Ill give brainlist, five stars and a thanks for whoever's answer is right. Please!!!!!

Answers

Answer:

6 3/4

Step-by-step explanation:

If Sarah uses 3/4 of ribbon to make one hair bow, you would need to multiply 3/4 by 9.

3/4 × 9 = 6 3/4

She will need 6 3/4 yards of ribbon.

Hope this helps! Brainliest would be really appreciated!

5 find the missing length

Answers

Answer:

A i belive

Step-by-step explanation:

DO NOT ANSWER IF YOU DO NOT KNOW


What is 1 way you can tell if two people are paying the same rate?

Answers

Answer:

By saying "paying the same rate"

I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.

If so then there are a couple of factors at play.

First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.

Which graph best represents the solution set of y > 5/3x + 2?

Answers

Answer:

[tex]y > \frac{5}{3} x + 2[/tex]

The choice A.

I hope I helped you^_^

A line segment is defined by which of the following statements?
А Two rays that share a common endpoint.
B.
The set of all points that are a fixed distance from a given point.
С
All points between and including two given points.
D
A straight path connecting two points and extending infinitely in both directions.

Answers

The only given option that correctly defines a line segment is;

Option C; All points between and including two given points.

      In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.

Now, let us look at the options;

Option A; This is not correct because a line segment must have 2 distinct endpoints

Option B; This is not correct because a line segment is a part of a line and not a set of points.

Option C; This is correct because it tallies with our definition of line segment.

Option D; This is not correct because a line segment does not extend infinitely.

Read more at; https://brainly.com/question/18089782

Multi-step word problems are combination of fundamental which includes hidden questions. Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems. Learning Task 2. Solve the given problems. Use the 4-steps inn solving word problems. A hidden questions should be incorporated in your answer Write your solution in your notebook. 1. Mr. Fernandez earns P 28.50 per hour as an office clerk. He earns 1.75 times as his regular rate for overtime. His regular work is 40 hours per week. He gets overtime pay if he works more than 40 hours. How much is his total earning if he works 45 hours in one week? 2. Lucy earns P 1,525.00 a week. She sets aside 15% of this for savings. How much does she save in a year? (Hint: 1 year = 52 weeks). 3. Mrs. Briones has a monthly pay of 50,000.00. The withholding tax de ducted from her monthly salary is P 5,275.75. What is the actual pay she receives in a year?​

Answers

The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :

$1389.375$11895$536691

1.)

Regular Earning per hour = $28.50Overtime earning = 1.75 × 28.50 = $49.875Regular work hour = 40 hours

Total work hours = 45 hours

Total earning can be defined thus :

28.50(40) + 49.875(45 - 40)

1140 + 249.375

= $1389.375

2.)

Earning per week = $1525Percentage saving = 15%

Yearly saving can be calculated thus :

Weekly saving = 15% × 1525 = $228.75

Amount saved per year = $228.75 × 52 = $11895

3.)

Monthly pay = $50000Withholding tax per month = P 5275.75

Actual payment received per year can be calculated thus :

Actual weekly earning = $50000 - $5275.75 = $

Actual yearly earning = 52 × $44724.25 = $536691

Learn more : https://brainly.com/question/25257355

just give me the coordinates plzplzplz

Answers

Answer:

(0,4) and (5,-3)

Step-by-step explanation:

Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine
the final cost of the DVD.

Answers

Answer:

0.88%y + 0.03%

K12 is how i know the answer

Tan^2 0+Tan^2 30+Tan^2 60+Sin^2 0​

Answers

Answer:

2.996519411885697

Step-by-step explanation:

[tex] \tan(20) + \tan(230) + \tan(260) + \sin(20) = 2.996519411885697[/tex]

mark me brainliest

f(x)=2x-3;find f (0), and f(x-3)

Answers

Answer:

f(x) = 2x – 3

f(0) = 2(0) – 3 = -3

f(1) = 2(1) – 3 = 2 – 3 = -1

(f(0) + f(1))/2 = (-3 - 1)/2 = -4/2 (f(0) + f(1))/2 = - 2

May I please receive help?

Please?

Just find m2

Answers

86-12 =74
The answer is 74 degrees

Answer:

I'll assume the question says "m<1 is 12 deg. more than m<2."

Step-by-step explanation:

m<WXZ is 86

m<1 + m<2 = 86

m<1 = m<2 + 12

(m<2 + 12) + m<2 = 86

2m<2 + 12 = 86

2m<2 = 74

m<2 = 37

m<1 = 49

m<1 + m<2 = 86 [Checks]

Which numbers are between -7 and 2 on a number line? Circle all that apply.
A. 2.1
B. -1
C. 0
D. -7.5
E. 3.5
F. -6.4
G. -8

Answers

Answer: See below

Step-by-step explanation:

A. 2.1       No (2.1>2)

B. -1         Yes

C. 0         Yes

D. -7.5     No (-7.5<-7)

E. 3.5       No (3.5>2)

F. -6.4      Yes

G. -8         No (-8<-7)

If 35 cycles were produced in 5 days by a company then how many cycles will be produced in 21 days.

Answers

Answer:

126

Step-by-step explanation:

35/5 = 6.

6 is the number in 1 day

6x21=126

126 is the number in 21 days

Hope that helps

the tennis team is selling tickets to a car wash for $6.when they do not sell very many tickets ,the team decreaces the price 25%.what is the new cost of a ticket .

Answers

Answer:

it will be $1.50 (sure yan ah diyan joke)

Other Questions
Which statement is an example of ethos? 3 coats of tell tale heart story when the murder shows guilty and why ? What will happen in the market when a subsidy is provided to producers? Hi, I believe this is correct, leme know (: what ca beach was used to film the classic tv show baywatch? PLZ HELP ILL GIVE BRAINLYEST! Question 20Figure A is doubled in size then reflected across the x-axis creating Figure B.How will the coordinates of Figure B differ from Figure A as a result of this series of transformations?two times the x-value and two times the opposite y-valueB the opposite x-value and two times the y-valuetwo times the x-value and two times y-valueDtwo times the opposite x-value and the opposite y-value What phases are A, B, C D, and E? Ill mark brainliest if youre right! just do a c e g and i what is the total surface area of the prism in square inches Which is the graph of y=3/4x-3Graph AGraph BGraph C. what does it mean when you have sharp pains in your stomach the positon of hydrogen is conversial in mendleevs perodic table give reason Solve: x + y = 73x - 2y = 11By using Substituting method. Question 1 of 10Psychology is the scientific study of: Iron and nickel are examples of _______ materials Content From May net How did the Supreme Court of the United States expand its powers in terms of commerce and the courts form 1804-1821? Item 1Joanna has of a gallon of milk left that has an expiration date in 6 days. If she splits the milkequally among her next 6 bowls of cereal, how much milk will she use in each bowl? Hydrocarbons are molecules that consist entirely of carbon and hydrogen atoms and are classified by their bond structure.a. Trueb. False which is perpendicular to the line x-2y=2