Budget planners in two towns, Alphaville and Betaville, developed models to determine the budget surplus (in dollars) for a year based on the tax revenue (in thousands of dollars) for the year. Using historical data, Alphaville’s planner produced the model -2x2+ 500x, while Betaville’s planner produced the model x2- 100x + 10,000. What expression gives how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue? If the tax revenue that year in each town is $75,000, how much greater is Alphaville’s budget surplus than Betaville’s that year?

Please help! I WILL MARK BRAINLIEST

Answers

Answer 1

Answer:

(a)[tex]-3x^2+150x-10000[/tex]

(b)[tex]-\$16,863,760,000[/tex]

Step-by-step explanation:

Alphaville's Budget Surplus Model is [tex]-2x^2+ 500x[/tex]

Betaville's Budget Surplus Model is [tex]x^2- 100x + 10000.[/tex]

We want to determine the expression that shows how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue.

To do this, we subtract Betaville's Model from Alphaville's model.

[tex]-2x^2+ 500x-(x^2- 100x + 10000)\\[/tex]

Opening the brackets

[tex]-2x^2+ 500x-x^2+100x - 10000\\[/tex]

Collect like terms and simplify

[tex]-2x^2-x^2+100x + 500x- 10000\\=-3x^2+150x-10000[/tex]

The expression that shows how much greater Alphaville's Budget is:

[tex]-3x^2+150x-10000[/tex]

(b) If the tax revenue that year in each town is $75,000

We want to evaluate the expression derived above when the tax revenue that year in each town is $75,000 i.e.at x=75000

[tex]-3x^2+150x-10000\\=-3(75000)^2+150(75000)-10000\\=-\$16,863,760,000[/tex]


Related Questions

NEED ANSWER ASAP!!! Do the data in this table show a function? If you switch the input and the output values is it a function?

Answers

Answer:

no

Step-by-step explanation:

no input can have diffrent outputs if you change the input values then yes it is a function hope this helps god bless

What is the solution to the equation 4(1/2) ^x-1 =5x+2

Answers

Answer:

-1

Step-by-step explanation:

Photomath

Answer:

A- 0.6

Step-by-step explanation:

Correct on edge

Multiply. Write your answer as a fractionin simplest form. 8/15(−2/3)=

Answers

Answer:

-16/45

Step-by-step explanation:

8/15 x (-2/3)

multiplying a positive and a negative equals a negative

-8/15 x 2/3

multiply the fractions

-16/45

Answer:

-16/46

Step-by-step explanation:

What’s the equation

Answers

Answer:

A

Step-by-step explanation:

Total cost = number of items * constant price

t = n*9

t÷9 = n

Whats the solution system? 2x + 5y = 14 x + 3y = 16

Answers

Answer:

Step-by-step explanation:

2x + 5y = 14  -------------(i)

x + 3y = 16 ----------------(ii)

To eliminate x, multiply the second equation by  (-2)

(ii)*(-2)  -2x - 6y = -32

(i)           2x + 5y = 14       { Now add & x is eliminated}

                  - y = - 18     {divide by (-1)}

 y = 18

Plug in y =18 in Equation (i)

2x + 5*18 = 14

2x + 90 = 14

2x = 14 - 90

2x = -76

x = -76/2

x = -38

Answer:

Step-by-step explanation:

hello :

2x + 5y = 14...(*)

x + 3y = 16....(**)

multiply (**) by -2  :  -2x-6y=-32   ...(***)

add(*) and (***) : -y=-18   so y = 18

put this value in to (*) : 2x+5(18)=14

2x = -76

x = - 38

A large dog weighs 80 pounds. What is the dog’s weight in ounces? (16 oz = 1 lb) A.5 oz B. 10 oz C. 640 oz D. 1,280 oz

Answers

Answer:

1280 Oz - Option D

Step-by-step explanation:

16 ounces to a pound. 16 × 80 = 1280oz

Answer: D

If you convert it it would give you 1,280

picture attachment...

Answers

Answer:

march 9th and april 9th

Step-by-step explanation:

write the mixed number as a fraction 1 3/5. Please put the rational

Answers

Brainliest plz.

Answer:

1 3/5 will be written as 8/5 in improper form.

Step-by-step explanation:

1 3/5 can also be seen as 1 + 3/5.

By making the 1 a like term, i.e. multiplying it by 5 (both numerator and denominator) we can add them as like terms.

1 will become 5/5.

5/5 * 3/5

= (5+3)/5

= 8/5

The fractional form of mixed number 1 3/5 is 8/5 .

Given,

Mixed number : 1 3/5

Here,

1 3/5 can also be seen as 1 + 3/5.

By making the 1 a like term, i.e. multiplying it by 5 (both numerator and denominator) we can add them as like terms.

1 will become 5/5.

5/5 * 3/5

= (5+3)/5

= 8/5

Know more about fractions,

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What is the result when 4x^3-3x^2+4x-5 is divided by x-1

Answers

Look at the attached picture⤴

Look at the attached picture⤴Hope it will help u....:)

your answer is 6 .....

Factor completely.
23 + 7x2 – 52 – 35 =


Pls help

Answers

Answer:

Cannot be factored further.

Step-by-step explanation:

I'm just gonna pretend that the equal sign isn't there.

First, simplify the numbers. when you simplify, you should get 7x^2-64.

This is the final. Your answer should be it cannot be factored further.

Answer:

-50

Step-by-step explanation:

First you have to find what 7 x 2 = (14). Then you take the 14 and add it to the 23 to get 37. You then have to subtract 52 from 37 and that gets you -15. Finally, you subtract 35 from -15 and you get your final answer of -50.

The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in the community.

A 4-column table with 3 rows titled garden-type frequencies by column. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.28, 0.72, 1.0. The third column is labeled no vegetable garden with labels 0.22, 0.78, 1.0. The fourth column is labeled total with entries 0.25, 0.75, 1.0.
Table B: Garden-Type Frequencies by Row

A 4-column table with 3 rows titled garden-type frequencies by row. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.56, 0.48, 0.5. The third column is labeled no vegetable garden with labels 0.44, 0.52, 0.5. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Which table could be used to answer the question "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?"

Table A, because the given condition is that the person has a flower garden.
Table A, because the given condition is that the person has a vegetable garden.
Table B, because the given condition is that the person has a flower garden.
Table B, because the given condition is that the person has a vegetable garden.

Answers

Answer:

C

Step-by-step explanation:

if youre looking on edge then yeah

Table B, because the given condition is that the person has a flower garden.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Now,

In Table A, there are frequencies by column .

The columns of the table are "Vegetable Garden" and "No Vegetable Garden".

It means if we assume some one as a Vegetable Garden or No Vegetable Garden as initial condition, then Table A works.

In Table B, there are frequencies by rows .

The columns of the table are "Flower Garden" and "No Flower Garden".

It means if we assume some one as a Flower Garden or No Flower Garden as initial condition ,then Table B works.

Hence, Table B could be used to answer the given question  because the given condition is that the person has a flower garden.

Learn more about the probability visit:

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Question

James and shekar were given an apple pie each. James ate 2/3 of the pie and shekar ate 3/4. What portion of the pie did they eat together?

a. More than one pie

b. Less than one pie

c. Three sixth of pie

d. The relationship cannot be determined from the above information given.

Answers

Answer:

a. More than one pie

Step-by-step explanation:

2/3 + 3/4

8/12 + 9/12 = 17/12

17/12 = 1 5/12

Help ASAP PICTURE INCLUDED ! /

Find the value of x. Then find the mZS and m/T.
Enter your answers in the boxes.
x=
mZS =
mZT =

Answers

Answer:

x=34

m∠S = 38

m∠T = 111

Step-by-step explanation:

Since the angles of a triangle should add up to 180, you can solve this equation:

31 + x+4 + 3x+9 = 180

the solution is x=34

Then the angles S and T can be found by substituting that value for x.

Answer:

Step-by-step explanation:

In a triangle, there are 180 degrees.

180- 31 = 149 degrees

(x + 4) + (3x+9) = 149

x=34

X+ 4 = 38

3x +9 =111

X =34, T=111, S=38

Identificar todas las formas que se representa el intervalo del dominio de la función

Answers

Answer:

III

Step-by-step explanation:

please help me, very ez

Answers

Answer:

Q' (-2, 2)

P' (-2, 7)

R' (6, 2)

Step-by-step explanation:

When reflecting over a diagnal line such as y = x or y = -x, a trick is to count the boxes at an angle to see how many spaces it is away from the line. Be sure to recipicate what you counted the first time, and when reflecting over y = -x, flip the x and y coordinates and if needed, change the signs.

Hope this helps!

Answer:

Q' (-2, 2)

P' (-2, 7)

R' (6, 2)

Step-by-step explanation:

Which coordinate pair fits the set of coordinates (0,4), (-2, 1), (-4,-2)} defined by a linear function?
(5, 12)
(-6,-5)
(-3,-1)
(-6,-5)

Answers

Answer:

D.(-6,-5)

Step-by-step explanation:

y-intercept = 4

slope(m) =

1 - 4

-2 - 0

=

3

2

thus,

y =

3

2

x + 4

then, plug in values

What is volume of a cylinder with base area 647 cm2 and a height equal to twice the radius? Give your answer in
terms of pi

A)1024
B)256
C)4096
D)512

Answers

Answer:

A)1024

Step-by-step explanation:

i got it right

What is the value of cos (120 degrees)?
a. 5.0
b. 8.7
c. -1.7
d. -0.5

Answers

Answer:

b. 8.7

Step-by-step explanation:

A company uses the formula below to determine the salary offered to a potential employee, where s is the salary and y is the number of years of experience the potential employee has. s = 1,856y + 45,005 What salary would be offered to a potential employee with 10 years of experience?

Answers

Answer:

$63,565

Step-by-step explanation:

We can solve this problem by using the equation provided to us:

[tex]s = 1,856y + 45,005[/tex]

We are solving for 10 years of experience so for y, we plug in 10 as shown below. Now lets solve for s:

[tex]s = 1,856(10) + 45,005[/tex]    Multiply 1,856 by 10

[tex]s=18,560+45,005[/tex]        Add the two numbers

[tex]s=63,565[/tex]

The salary offered to a potential employee with 10 years of experience is $63,565

Which angles are pairs of alternate exterior angles? Check all that apply.

4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.

A: Angle5 and Angle11
B: Angle7 and Angle12
C: Angle11 and Angle16
D: Angle2 and Angle14
E: Angle4 and Angle6
F: Angle8 and Angle10

Answers

Answer:

A & E

Step-by-step explanation:

Factor 4x^2 + 49y^2 please.

Answers

Answer:

(2x + 7yj)(2x - 7yj)

Step-by-step explanation:

Both 4x^2 and 49y^2 are perfect squares, and

4x^2 + 49y^2 is the sum of two squares.

There is a formula for factoring the difference of two squares:

a^2 - b^2 = (a - b)(a + b) (all real numbers here), but unless imaginary numbers are allowed, there's no formula for factoring the sum of two squares.

If imaginary numbers are allowed, then a^2 + b^2 factors into

(a + jb)(a - jb).

Following this pattern, 4x^2 + 49y^2 factors into (2x + 7yj)(2x - 7yj)

a^2 + b^2 = (a + b)(a

In the above figure, m∠XOV = 47° and m∠UOW = (2x + 35)°. If ∠UOW and ∠XOV are vertical angles, what is the correct equation that could be used to solve for x?

Answers

Answer:

(2x + 35)° = 47°

I need help with this question ASAP for my homework

Answers

Answer:

Slope = 3

Step-by-step explanation: Use the slope intercept form

y= mx +b

Im 100% sure this is correct

Complete the work to determine the value of a.


Use the law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction.

Substitute: StartFraction sine (45 degrees) Over a EndFraction = StartFraction sine (77 degrees) Over 8 EndFraction .

Cross multiply: 8sin(45°) = asin(77°).

Solve for a and round to the nearest hundredth:

a ≈

.

Answers

Answer:

5.81

Step-by-step explanation:

just did the problem

Final answer:

To find the value of 'a' given the angles and one side length using the Law of Sines, we calculate a ≈ 5.80 by substituting the values into the formula and solving.

Explanation:

To determine the value of a using the Law of Sines, we are given two angles A and B and the length of one side b. We use the equation provided:

\(\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\)

Substitute the given information into the equation:

\(\frac{\sin(45^\circ)}{a} = \frac{\sin(77^\circ)}{8}\)

Next, cross multiply to solve for a:

\(8 \times \sin(45^\circ) = a \times \sin(77^\circ)\)

Finally, solve for a:

\(a = \frac{8 \times \sin(45^\circ)}{\sin(77^\circ)}\)

Use a calculator to find the approximate value of a, rounding to the nearest hundredth:

a \approx \frac{8 \times 0.7071}{0.9744}

a \approx \frac{5.6576}{0.9744}

a \approx 5.80

Is someone gives me the answer to these...you are literally a Goat

Answers

Answer:

1. 12 games

2. 5 gift cards

3. 6 games

4. 2 more bags

Step-by-step explanation:

1. 50/ 4= 12.5, you can't play half a game, so reduce to 12

2. 120-36=84

84/15=5.6, again can't have part, reduce to 5

3. 720-330=390

390/60=6.5, you get it, reduce to 6

4. 30*4=120

200-120=80--  80/30=2.6667, reduce to 2

what quadrant is (-3,y) y

Answers

Its found in the second quadrant

Leticia recently rented an office space and now needs someone to do weekly cleaning. She received these bids from two different cleaning services. Quick Clean charges a $30 cleaning supply fee for every visit and $20 per hour. Three Friends Cleaners provided the table below to show its cost. image 584f4e6957dd4bd891b08a92e88537ac Which statements comparing the costs of the two cleaners are true? Choose all that are correct. A If it takes 10 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean. B If the cleaning costs for each company were graphed, the y-intercepts would be the same. C If it takes 5 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean. D If the cleaning costs for each company were graphed, the graphs would intersect when x equals 6 hours. E Three Friends Cleaners charges $5 more per hour than Quick Clean.

Answers

Answer:

C

Step-by-step explanation:

I also did this question, and the answer was C

What are the domain and range of f(x) = (1/5)^X

Answers

Answer:

Step-by-step explanation:

hello : f(x) = (1/5)^X

the domain is : D=ℝ =]-∞ ,+∞[

limf(x) =0   and : limf(x) =+∞

the range is : E= ]0 ,+∞[

x⊶ -∞                  x⊶ +∞

what is -2 - the radical 15 over 2

Answers

Answer:

Step-by-step explanation:

-3.9364916731

Use multiplication in the distributive property to find the quotient 60÷4

Answers

Answer: 60 divided by 4 = 15

Step-by-step explanation:

60 divided by 4 is 15.

I multiply 4 and 10.

That gets me to 40.

Now I muplity 5.

It got me to 20.

Then I add 40 and 20.

Then I get 60. (I hope this helped!)

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