2. A museum has an admission fee of $14 and averages 300 visitors per day. The museum board
decides to raise the fee. Research indicates that for every $1 increase, there would be 10 fewer
visitors per day. Keeping this in mind, the museum committee has found an equation that
represents revenue compared to the number of $1 increases. This relationship can be modeled by
the function: R= -10x2 + 160x + 4200, where R represents total revenue and x represents the
number of $1 increases above the starting fee of $14.


a) What is the maximum revenue possible for the museum?

b) How many $1 ticket increases will give the museum this maximum revenue?

c) What is the museum's revenue if they do not increase their fee?

Answers

Answer 1

Answer:

The answer to the questions asked is:

a) The maximum possible income for the museum is $4,840 per day.

b) The increase you must make to obtain the maximum income is $8 per ticket.

c) The income of the museum without increasing the fee is $4200.

Step-by-step explanation:

To solve all the questions asked, we must take into account the provided equation:

R = -10x2 + 160x + 4200

The first question asks for the maximum income, that is, the maximum amount of money that can be obtained by making increases in the rate, despite the loss of people, so you must replace the X in the equation with values ​​until instead of increase decrease:

R = -10 (1) 2 + 160 (1) + 4200 = 4350 R = -10 (2) 2 + 160 (2) + 4200 = 4480 R = -10 (3) 2 + 160 (3) + 4200 = 4590 R = -10 (4) 2 + 160 (4) + 4200 = 4680 R = -10 (5) 2 + 160 (5) + 4200 = 4750 R = -10 (6) 2 + 160 (6) + 4200 = 4800 R = -10 (7) 2 + 160 (7) + 4200 = 4830 R = -10 (8) 2 + 160 (8) + 4200 = 4840 R = -10 (9) 2 + 160 (9) + 4200 = 4830

As you can see, when the increase is $9, the income falls, so the maximum income is $4,840, while it can be seen that it occurs with an increase of $8, which answers the second question.

For the third question, that is, the income of the museum without increasing the fee, you must remember that the variable X is the increase in the fee, therefore, if you want to obtain the income without an increase, it must be given a value of zero to the variable inside the equation, with which we obtain:

R = -10 (0) 2 + 160 (0) + 4200 = 4200

Related Questions

I seriously have no idea how to do these, plz help :(

Answers

Answer:

hi :)

Step-by-step explanation:

whats 300 times 400??
then add 500

Answers

Answer:

120,500

Step-by-step explanation:

300×400=120,000

120,000+500=120,500

300 × 400= 120000

120000+500= 120500

Hope it helps!

From a standard deck of 52 cards, what is the probability of picking a 5 of diamonds at random from the deck?

A)1/13
B)1/26
C)1/4
D)1/52

Answers

Answer:

D)1/52

Step-by-step explanation:

because their is only one 5 of diamonds in each standerd 52 pack of cards

Answer: The dude below or above me is so wrong the answer for this question is c) 1/4.

Have a great day guys. ✌

Step-by-step explanation:


Which are samples that are appropriate to survey regarding how the city’s residents feel about building a new youth center? Select all that apply.
1. 10 names selected from the city phone book.
2. 100 residents who live near the proposed site for the youth center.
3. 100 tourists at the city park last Friday.
4. 50 children at each of the city’s four elementary schools.
5. 100 parents of children at each of the city’s four elementary schools.

Answers

Answer:

it is 2, 4, AND 5:)

Step-by-step explanation:

I need help. Graph -4x + 4y = 1

Answers

Answer:

Step-by-step explanation:

What type of graph best displays medians?

Answers

Answer:

A Bar Graph. Bar graphs are used to compare things between different groups or to track changes over time. However, when trying to measure change over time, bar graphs are best when the changes are larger.

Step-by-step explanation:

(happy to help)

Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be
used to find c her cousin's age?

Answers

Answer:

Add 4 to 17, then divide both sides by 3.

Step-by-step explanation:

Given that :

Suri's age is 4 less than 3 times her cousin's age

Suri is 17 years old

Let her cousin's age be c

Then ;

3c - 4 = 17

By adding 4 to 17; we have

3c = 17 + 4

3c = 21

Now, dividing both sides by 3 ; we have

3c/3 = 21/3

c = 7

The age of her cousin is 7 years

Answer:

Algebraic equation

Step-by-step explanation:

We would use an algebraic equation.

An algebraic equation is a mathematical statement in which two expressions are made equal to each other using the equal sign.

In this case the algebraic equation consists of constant, variables and algebraic operation.

One of the type of algebraic equation is a linear equation. The expression below relating suri's age with her cousin's is a linear equation.

We can derive equations from sentences that involves unknown values by representing them with variables such as x, y, etc.

Suri's age = 17years old

Let Suri's cousin's age = x

3 times her cousin's age = 3x

Suri's age = 4 less than 3 times her cousin's age = 3x-4

17 = 3x-4

3x = 17+4 = 21

x = 21/3

x = 7

Her cousins age = 3x = 3×7

Her cousins age = 21 years

Plz help me with this

Answers

Your answer would be the second option, (-4,5).

We can find this by substituting in each point into the equation y < |x - 3| and seeing if it is true.

For the first one you get 1 < |2 - 1|. |2 - 1| = |-1| = 1, and 1 cannot be less than itself, so this is false.

For the second one you get 5 < |-4 - 3|. |-4 - 3| = |-7| = 7, and 5 is indeed less than 7, so this is correct.

I hope this helps!

Answer:

(0,3)

Step-by-step explanation:

A bicycle depreciates at a rate of 15%. Theresa bought a bicycle for $250. How much should it be worth 6 years later?

Answers

Final answer:

The bicycle should be worth a value of $79.16 after 6 years.

Explanation:

To calculate the value of the bicycle 6 years later, we need to find the depreciated price. The bicycle depreciates at a rate of 15% per year, so after 6 years, it will be worth 85% of its original value.

First, we calculate the value after one year: $250 * 0.85 = $212.50. Then, for each subsequent year, we multiply the previous year's value by 0.85 to calculate the new value.

Therefore, the bicycle should be worth $212.50 * 0.85 * 0.85 * 0.85 * 0.85 * 0.85 = $79.16 after 6 years.

helppppppppppp plzzzzzzzzz

Answers

Answer:

6,250

Step-by-step explanation:

(4.3+8.2)500

12.5(500)

6,250

Hope this helps! Please mark brainliest :)

Find the missing factor.
6x2 + x - 1 = (2x + 1)(
)

Answers

Answer: (3x -1)
(3x -1) (2x+1)
= 6x^2 + 3x -2x -1
= 6x^2 + x -1

simplify (3c^2y^3/z^3)^3

Answers

Answer:

a

Step-by-step explanation:

Answer:

B 27x^6y^9/z^9

Step-by-step explanation:

Omar had 7goldfish in his fish tank. He has 3 fewer redfish than goldfish in his tank. Omar also has 8 more black fish than goldfish in his tank. How many fish does Omar have in all?

Answers

Answer:

Omar has 27 fish in all.

Step-by-step explanation:

Goldfish: OOOOOOO

Redfish: 7-3=4 OOOO

Black fish: 7+8=15 OOOOOOOOOOOOOOO

Add all of those and you get this many:

OOOOOOOOOOOOOOOOOOOOOOOOOO=27

Hope this helped lots and lots,

sincerely, me

The answer is 26 fish. He has 7 goldfish. He has 3 fewer redfish than goldfish which is 7-3 which is equal to 4. He has 8 more black fish than goldfish which is 7+8 which is equal to 15. Then, you add it all together and you get 26 fish in total.

Examine the system of equations. y = 2x – 3, y = –3 Which statement about the system of linear equations is true?
(A) The lines have different slopes.
(B) There is no solution to the system.
(C) The lines have the same slope, but different y-intercepts.
(D) The solution is (–3, –9).

Answers

Answer: A

Step-by-step explanation:

For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is A the lines have different slopes.

What is the System of equations?

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System;

For a system of the equation to be a Dependent Consistent System, the system should have multiple solutions for which the lines of the equation must be coinciding.

For a system of the equation to be an Independent Consistent System, the system should have one unique solution for which the lines of the equation must intersect at a particular.

If the two of the given system of equations are plotted on the graph, y = 2x – 3, y = –3

Then it can be seen that the two lines have different slopes. Therefore, the correct option is A.

Learn more about equation:

brainly.com/question/12895249

#SPJ6

Please help. Its my last, please show at least some steps as I need to show work. Tysm

Answers

What’s your question :D

How many different 10-letter code words can be constructed from the English alphabet?

Answers

A permutation is an arrangement of a set of objects in a specific order. The number of permutations of 10 objects taken 10 at a time is given by 10!, which is equal to 3,628,800. Thus, there are 3,628,800 different 10-letter words that can be formed from the given letters.

Melissa has $1,000.00 to invest for 5 years. She can choose either simple interest at 6.4% interest, or compound interest at 12.8% interest, compounded annually.

Which is the better investment?

A. A compound interest investment would be better, because Melissa would earn $826.19 in compound interest.

B. A simple interest investment would be better, because Melissa would earn $826.19 in simple interest.

C. A simple interest investment would be better, because Melissa would earn $320.00 in simple interest.

D. A compound interest investment would be better, because Melissa would earn $320.00 in compound interest.

Answers

Answer:

A

Step-by-step explanation:

simple interest

1000 x 6.4% x 5 = 320

compound int

1000(1+12.8/100)^5 - 1000=826.188

can someone please help I have 3 mins!!!!

Answers

1. Find the surface area

Side = 5 cm

Surface area = 6s²

= 6 × 5²

= 6 × 25

= 150 cm² (C)

2. Find the surface area

Side = 10 in

Surface area = 6s²

= 6 × 10²

= 6 × 100

= 600 in² (C)

Hope it helpful and useful :)

600 in
Would you like me to explain why?

Find the product of 5jk(k – 2j)

Answers

Answer:

5jk²-10j²k

Step-by-step explanation:

We simply distribute the 5jk to both terms.

5jk(k) = 5jk²

5jk(-2j) = -10j²k

And then we write them together: 5jk²-10j²k

Answer:

Here is the answer. Please rate it.

Write the equation of the line that is parallel to the line and through the given point y=-2x+1 point (0,5)

Answers

Answer:

y = -2x+5

Step-by-step explanation:

y = -2x+1 is in the form y= mx+b where m is the slope and b is the y intercept

-2 is the slope

Parallel lines have the same slope so our new line will have the same slope

y = -2x+b

The point given is the y intercept (value when x is zero)

b = 5

y = -2x+5

What shape does not have a cross section in the shape of a circle

Answers

Answer:

triangle

Step-by-step explanation:

Find the surface area of the composite solid.

Answers

Answer:

190 ft^2

Step-by-step explanation:

Area of base of cube = 5x5x2

Area of sides of cube = 5x4x4

Area of triangle top = 5x6/2 then x4

Hope this helps! Good luck :)

Answer:

pretty sure its 49ft

Step-by-step explanation:

because 5x5 =25 and 6x4=24 and that equals 49ft

The area of the figure is ____ square units

Answers

Answer:

80 units

Step-by-step explanation:

Start with the rectangle of 8×6 which is 48.

Then start with a base, 2×6=12 and add 4, 2 per triangle. One base equals 16 and because it's 2 bases multiply by 2 equals 32.

32+48=80

The answer would be 80.

Hope this help and have a fabulous day!

I need help on this please

Answers

Your answer would be the last option, 0.71.

To find the probability of the next pizza not being a cheese pizza, we need to find how many pizzas in the sample weren't cheese by adding them up. This gives us:

14 + 23 + 14 = 51

The total number of pizzas made is 21 + 14 + 23 + 14 = 72.

Therefore the probability of not making a cheese pizza would be 51/72 = 0.708 = 0.71

I hope this helps!

-3 is which type of number? Select all that apply.

whole number
natural number
integer
rational number

Answers

it is an integer and a rational number
The answer of the question is Whole number

Can someone please find the volume of this shape and show work for how you did it??

Answers

Answer:

[tex]221.4m^{3}[/tex]

Step-by-step explanation:

To work out the volume of this shape you will first need to work out the area of the triangle. To work out the area of the triangle you would multiply the base of 12 by the height of 4.1, which gives you 49.2. You would then need to divide 49.2 by 2, which gives you 24.6. This is because the formula for the area of a triangle is the same as that of a square, however a triangle is half of a square with the same length and width. To work out the volume you would multiply the area of the triangle, which is 24.6 by the height of 9, which gives you 221.4[tex]m^{3}[/tex]

1) Multiply 12 by 4.1.

[tex]12*4.1=49.2[/tex]

2) Divide 49.2 by 2.

[tex]49.2/2=24.6[/tex]

3) Multiply 24.6 by 9.

[tex]24.6*9=221.4m^{3}[/tex]

In circle P, the measure of arc BDC is 260, what is the measure of angle 1?

A. 100
B. 60
C. 50
D. 80

Answers

Answer:

C. 50 deg

Step-by-step explanation:

m(arc)BDC = 260 deg

Since a full circle has an arc measure of 360 deg, we can find the measure of arc BC.

m(arc)BC = 360 deg - 260 deg = 100 deg

Angle 1 is formed by a tangent to the circle and a chord of the circle and has a vertex on the circle. Its measure is half the measure of the intercepted arc.

m<1 = (1/2)m(arc)BC = (1/2) * 100 deg = 50 deg

Answer: C. 50 deg

A card is drawn randomly from nine cards labeled 1 through 9. What is the
probability of picking a 5 or an even number.

Answers

The probability of picking a 5 or an even number is [tex]\dfrac{5}{9}[/tex].

Important information:

A card is drawn randomly from nine cards labeled 1 through 9.Probability:

One card of number 5 between 1 and 9.

Even cards between 1 and 9 are 2, 4, 6, 8.

Possible outcomes for picking a 5 or an even number is 4 + 1 = 5.

Total number of cards is 9.

The probability of picking a 5 or an even number is:

[tex]P=\dfrac{5}{9}[/tex]

Therefore, the probability of picking a 5 or an even number is [tex]\dfrac{5}{9}[/tex].

Find out more about 'Probability' here:

https://brainly.com/question/12995031

what is 40% more of 5.50

Answers

Answer:

7.7

Step-by-step explanation:

Answer: $2.20 is more. The total is $7.70. But the question is what is 40% more, so $2.20.

Step-by-step explanation:

image 1
Image 2
image 3
Which is a scatter plot

Answers

Please put in the images first.
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