The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years? Use rational functions to help justify your answer

Answers

Answer 1

Answer:

Step-by-step explanation:

They should purchase the $369 one with the $9 plan.

330 + (14x8) =442

369+ (9x8) = 441

Hope this helps!

Answer 2

Answer:

rational functions that model the average annual cost of each television if it is owned for x years, such as f(x)= (330+14x)/x and

g(x)= (369+9x)/x

calculation proving that over 8 years, the annual cost for the $330 television is $55.25; for the $369 television, it is $55.13

statement that the Gordons should buy the $369 television because it is less expensive overall

Step-by-step explanation:

edge 2022


Related Questions

While on vacation, your family traveled 2040 miles in 6 days. Your average speed was 340 miles
per day
a Find the independent and the dependent variables.
b. Write a linear function that models the distance that your family traveled each day.
c. b. Use the model to find the distance traveled after 2.5 days of travel.

Answers

Answer:

a. independent = number of days

dependent = number of miles

b. f(x)=340x

x = number of days

f(x) = number of miles

c. f(x)=850

850 miles

Step-by-step explanation:

a. the number of miles depends on number of days because more days equals more miles traveled.

b. Idk u need y or f(x) but just switch to one u need.

c. 340 × 2.5 = 850

Hope this helps!

____ probabilities will vary even if the total number of trials remains the same.
A. Simulated
B. Theoretical
C. Experimental
D. Situational

Answers

Answer:

Experimental

Step-by-step explanation:

3/4 divide 5 1/3 simplest form plz help I have to this today!!!!

Answers

Answer:

the answer 9/64 hope it helps

Answer:

[tex]\frac{9}{64}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] ÷ [tex]5\frac{1}{3}[/tex]

First translate [tex]5\frac{1}{3}[/tex] into an improper fraction.

[tex]5\frac{1}{3}[/tex] = [tex]\frac{16}{3}[/tex]

So that means: [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{16}{3}[/tex].

Now you have to switch [tex]\frac{16}{3}[/tex] to its reciprocal to multiply.

[tex]\frac{3}{4}[/tex] x[tex]\frac{3}{16}[/tex] = [tex]\frac{9}{64}[/tex]

Therefore, the answer is [tex]\frac{9}{64}[/tex].

Hope this helped! <3

If not, please let me know!

YOur math teacher gives you a worksheet that has 20 problems. She tells you choose 3/4 of the problems can you skip? If you get one third of the assigned problems done in class, how many problems do you have for homework?

Answers

Answer:

Step-by-step explanation:

mholwalker16

WILL VOTE BRAINIEST
Which expression has the same value as the one below?
22 + (negative 32)

A). 22 + (negative 22) + (negative 10)
B). 22 + (22) + (negative 10)
C). 22 + (negative 22) + (10)
D). 22 + 0 + 32

Answers

Answer:

The answer is A

Very simple and quick

Answer:

A)

Step-by-step explanation:

hope this helps!!

from e d g e n u i t y 2020

Consider the linear second-order differential equation:

d^2y/ dx^2 + a1(x)dy/dx +ao(x)y(x)=0

Note that this equation is linear because y(x) and its derivatives appear only to the first power and there are no cross terms. It does not have constant coefficients, however, and there is no general, simple method for solving it like there is if the coefficients were constants. In fact, each equation of this type must be treated more or less individually. Nevertheless, because it is linear, we must have that if y1(x) and y2(x) are any two solutions, then a linear combination.

y(x)=c1y1(x)+c2y2(x) where c1 and c2 are constants, is also a solution. Prove that y(x) is a solution.

Answers

Answer:

✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅

✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅

✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅cffffffffffffffffccc✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅

Step-by-step explanation:

what is 87,628 divided by 931 is Long divison

Answers

Answer:

94 remainder 114

Step-by-step explanation:

87,628 ÷ 931 = ?

87,628 is not divisible by 931. The closest number that is divisible by 931 is 87,514.

931 × 94 = 87,514

87,628 - 87,514 = 114

87,628 ÷ 931 = 94 remainder 114

Choose all the important facts about the y-intercept. (multiple select - more than one answer is correct) The y-intercept tells you where your line crosses the y-axis.
At the y-intercept, the y value is ALWAYS 0.
At the y-intercept, the x value is ALWAYS 0.
The y-intercept is the constant in y = mx + b
The y-intercept tells you where the line crosses the y-axis. The "b" stands for "begins," since our first point we plot is always the y-intercept.

Answers

Answer:

Your answer should be C and D

Step-by-step explanation:

The y-intercept of the line is the value of y at the point where the line crosses the y axis.

X + 8y > 16
A
B
C
D?

Answers

Answer:

Its C i think. Sorry if Im wrong

Step-by-step explanation:

find the value of x for which the lines p and Q are parallel.
a. 9
b. 7
c. 8
d. 6​

Answers

the two angles are consecutive angles which makes them congruent so u set them equal to each other. 14x+18=116. subtract 18 from both sides and divide by 14. x=7

what is this answer 7x+9>−5

Answers

Answer: x>-2

Step-by-step explanation:

4 2/3 ÷ 7 to the lowest terms ​

Answers

Answer:

4 2/3 divided by 7. You can do 14/3 by making it an improper fraction. Then you can do 14/3 divided by 7/1.

(LCR) 14/3 * 1/7 = 14/21.

Simplify by 7.

14 divided by 7 is 2.

21 divided by 7 is 3.

The answer is 2/3!

PLSS HELP !! ITS DUE SOON , PLSS

Answers

Answer:

6.28 meters

Step-by-step explanation:

The formula for circumference is C=2[tex]\pi[/tex]r.

So circumference (C) equals 2 x pi x radius (aka half the diameter)

The diameter is 2 meters, so the radius is 1 meter. (2 meters÷2= 1 meter)

2 x pi (3.14) x 1 = 6.28

Kevin bought 4/6 pounds of pecans for $50.89. About how much was the cost per pound?

Answers

Answer:

$76.33

Step-by-step explanation

1 divided by 4/6 = 3/2 =1.5

50.89 x 1.5 =$76.33

Answer:

$10.00

Step-by-step explanation:

this is the answer!!!!!

a lacrosse ball has 200 j of kinetic energy . how much kinetic energy does it have if it is thrown 3 times faster? how much more will it hurt if that ball hit you​

Answers

Answer:When you change the position and speed of the ball in the carnival

game, you transfer energy to the ball. Energy is the ability of a person

or an object to do work or to cause a change. When you do work on an

object, some of your energy is transferred to the object. You can think

of work as the transfer of energy. In fact, both work and energy are

measured in the same unit, the joule.

The man in the photograph above converts one form of energy

into another form when he uses his muscles to toss the ball. You can

think of the man and the ball as a system, or a group of objects that

affect one another. Energy can be transferred from the man to the

ball, but the total amount of energy in the system does not change

Step-by-step explanation:

Find the measure of each marked angle.
(9x-27)
(4x)

Answers

Answer:

(9×-27)

= (243×4)

= 972

Given a mechanism consisting of the following two elementary steps:_______.
A (g)
B (g) C (g) fast equilibrium A (g)
C (g) 2
D (g) slow step write the rate law of the rate determining step, and then use the equilibrium condition to eliminate any intermediates.
Give the orders of the following substances which appear in the overall reaction:_______.
{A} is order.
{B} is order.
{C} is order.
For example, zero, half, first, second, third, etc. (If it is negative, you would write, negative first, negative second, etc)

Answers

Answer:

The reaction is second order in A(g), first order in B(g) and zero order in C(g)

Step-by-step explanation:

A non elementary reaction is a reaction that does not take place in a single reactive encounter. This implies that the reaction occurs in steps as shown in the question above.

C(g) is an intermediate, hence it does not occur in the overall reaction equation. The overall reaction equation is: 2A(g) + B(g) ---> 2D(g)

The rate law of the rate determining step is obtained from;

Rate= k1[A] [B] for fast step

Rate= k2 [A] [C] for slow step

But rate of forward reaction = rate of reverse reaction

k1[A] [B] = k-1 [C]

But [C] =k1 [A] [B]/k-1

Hence

Substitute into

Rate = k2 [A] [C]

Rate = k2k-1[A]^2 [B]/k-1

But k2k-1/k = K

Hence;

Rate = K [A]^2 [B]

The answer is when The reaction is second order in A(g), first-order in B(g), and zero-order in C(g)

Step-by-step explanation:

Elementary reaction

When A non-elementary reaction is a reaction that does not take place in a single reactive encounter. also, This implies that the reaction occurs in steps as shown in the question above.

Then C(g) is an intermediate, hence it does not occur in the overall reaction equation. also The overall reaction equation is: 2A(g) + B(g) ---> 2D(g)

Then The rate law of the rate-determining step is obtained from;

After that Rate= k1[A] [B] for fast step

Then Rate= k2 [A] [C] for slow step

But rate of forward reaction = rate of reverse reaction

k1[A] [B] = k-1 [C]

But [C] =k1 [A] [B]/k-1

Hence

Then Substitute into

Rate = k2 [A] [C]

Rate = k2k-1[A]^2 [B]/k-1

But k2k-1/k = K

Hence;

Thus, Rate = K [A]^2 [B]

Find out more information about Elementary reaction here:

https://brainly.com/question/13909436

÷6=7 what is the answer

Answers

Answer:

The answer is 42

Step-by-step explanation:

We have to do 6x7 to find it out or add 7 6 times and when we do that it equals into 42

42 because 6x7 is 42

Liam had a container of oatmeal that contained 5 1/2 cups oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal left in the container at the end of the five day week?

Answers

Answer: The answer Is B.3   Sorry If I'm wrong xoxo

Step-by-step explanation:

Answer:

A 2 1/2

Step-by-step explanation:

which expression is equivalent 2 x (3 x 5)

Answers

What are the answer choices ?

what are the answer choices?

A motorcycle weighs 500 pounds.
How many tons does the motorcycle weigh?

Answers

Answer:0.25 tons

Step-by-step explanation:

I looked it up on the internet

Use the diagram to complete the statement.

Answers

Answer:

<FJH is congruent to <AJB

Step-by-step explanation:

Because angle FJH is vertical to <AJB they have the same degree, but not only that, we see that both have similar angle markings. these two pieces of evidence then show us to see that <FJH is congruent to <AJB

Which division problem does the diagram below best illustrate?


A diagram with 5 ovals containing 7 squares.

30 divided by 5 = 6

35 divided by 7 = 5

21 divided by 7 = 3

40 divided by 5 = 8

Answers

Question

Which division problem does the diagram below best illustrate?

A diagram with 5 ovals containing 7 squares.

30 divided by 5 = 6

35 divided by 7 = 5

21 divided by 7 = 3

40 divided by 5 = 8

Answer:

B

The division which correctly illustrates a diagram with 5 ovals containing 7 squares is: 35 divided by 7 = 5

What is division?

"It is the process of breaking a number up into equal parts."

What is equation?

"It is a statement which consists of equal symbol between two algebraic expressions."

For given example,

A diagram with 5 ovals containing 7 squares,

This means, there is an unknown number X such that:

⇒ X/7 = 5

Now, we can solve the equation for X.

⇒ X/7 = 5

⇒ (X/7) × 7= 5 × 7

⇒ X = 35

Therefore, the division which correctly illustrates a diagram with 5 ovals containing 7 squares is: 35 divided by 7 = 5

Learn more about division here:

https://brainly.com/question/11476141

#SPJ2

10 less than three times a number is 23. Find the number

Answers

Answer:

x = 11

Step-by-step explanation:

23 = 3x-10

1. Add 10 to both sides of the equation. -10 plus 10 is equal to zero so it cancels out to nothing, and 23 plus 10 is 33.

2. The new equation is now 33 = 3x.

3. Now you want to divide both sides by 3 to make x by itself since that is what you are trying to solve for.

4. 33/3 is equal to 11 so x = 11.

The value of the unknown number is 11

Inequality is a concept in mathematics that shows the comparison between two non-equal numbers.

From the given information

Let the unknown number be x

3x - 10 = 23

Collect like terms

3x  = 23 + 10

3x = 33

Divide both sides by 3

[tex]\mathbf{\dfrac{3x}{3}= \dfrac{33}{3}}[/tex]

x = 11

Learn more about inequality here:

https://brainly.com/question/11613554

Which equation is a simplified form of 3(x + 9) - (5x - 2) = 14

Answers

Its 14 is the answer

Complete the long division problem on your own sheet of paper. Then, fill in the digits 5 divied by 680

Answers

Answer:

3,400

Step-by-step explanation:

5 divided by 680 equals 3,400.

Answer:

the answer would be 136 hope this helps

Step-by-step explanation:

URGENT!!!!!! PLEASE LOOK AT THE IMAGE!

The graph of the linear function g is shown on the grid. What is the zero of g?

A) -1

B) 1

C) 3

D) -3

Answers

Answer:

C. 3

Step-by-step explanation:

Zero of a function is the point where the line of the function crosses the x-axis. At this point, y = 0. In simple terms, it is the value of x (input value) that will give us a y-value (output value) of zero.

In the graph of the function given above, the line intercepts the x-axis at 3. When x = 3, y = 0.

Therefore, the zero of g is 3.

You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each.
When t=3 what is the total amount of money received?

Answers

Answer:   $132

Step-by-step explanation:

(3t + 2) = 55

(2t + 5) = 77

$55 + $77 = $132

find the quotient, then check your answer using multiplication​

Answers

What’s the equation? Or do I make my own?

3 schools are participating in a donut fundraiser and shipments have been delivered each pallet has 10 cartons East curtain has 10 boxes each box has 10 donuts the shipment consist of five pallets six cartons for boxes and eight individually wrapped donuts how can the donuts be shared equally among five classes

Answers

Answer: Each class get 1121 donuts (3 donuts are still left).

Step-by-step explanation:

Given : 1 pallet has 10 cartons.

1 carton has 10 boxes.

1 box has 10 donuts.

So, 1 pallets has 10 x 10 x 10 =100 donuts

1 carton has 10 x 10 =100 donuts

In shipment,5 pallets, six cartons and eight individually wrapped donuts

= 5x 1000+6x 100+  8

=5608

Total classes =5

Number of donuts 1 class get = 5608 ÷5 =[tex]1121\dfrac{3}{5}[/tex]

So each class get 1121 donuts (3 donuts are left).

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