A television set can be purchased with a $200 down payment plus a $39.99 monthly payment. Alternatively, the television can be purchased with no money down and monthly payments of $59.99. Solve for the number of months until the payments are of equal value.

Answers

Answer 1

Answer:

10 months

Step-by-step explanation:

Let x denotes number of months.

Down payment of first TV = $200

Per month payment of first TV = $39.99

Total payment of first TV [tex]=200+39.99x[/tex]

Down payment of second TV = $0

Per month payment of second TV = $59.99

Total payment of second TV [tex]=0+59.99x=59.99x[/tex]

To find number of months until the payments are of equal value,

solve [tex]200+39.99x=59.99x[/tex]

[tex]200+39.99x=59.99x\\200=59.99x-39.99x\\200=20x\\x=\frac{200}{20}\\ x=10[/tex]

So, payments become of equal value after 10 months.


Related Questions

QUICKKK!!! Lance's bowling score was 28 pins more than Jim's score. Lance's bowling score was 205. (a) Write an equation to determine Jim's score (j), (b) What was Jim’s score?

30 points!

Answers

Answer:

177

Step-by-step explanation: 205-28=177 ~

Can anybody help? I don't get what this question means

Answers

Answer: B is the only true statement.

Step-by-step explanation:

how do u position yourself while dribbling? (basketball)​

Answers

Answer:

so defener wont take it away

Step-by-step explanation:

a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

Answers

Answer:

[tex]\huge\boxed{7.79 \ \text{feet}}[/tex]

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that [tex]a^2+b^2=c^2[/tex], where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

[tex]a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79[/tex]

Hope this helped!

Can all one-variable inequalities be simplified to a two-step inequality?

Answers

Next , solve as you would solve any two -step inequality. Since 2 is added to , you can get by itself on one side of the inequality by subtracting 2 from both sides. Then, to get by itself on one side of the inequality, you need to multiply both sides by 2.D

I need help with this I am giving 60 points

Answers

Answer:

<2 ≅<4 with reason of vertical angle theorem.

Step-by-step explanation:

The vertical angle theorem states that two opposite (non-adjacent) angles formed by 2 intersecting lines have equal measure. In this problem, we are given that the angles are vertical angles. So the statement is that <2 ≅<4 with reason of vertical angle theorem.

richard is walking around his neighborhood. if he walks 1/3 mile in 1/6 hour, how fast is richard walking, in miles per hour?

Answers

Answer:

2 miles per hours

Step-by-step explanation:

You divide 1/3 mile by 1/6 hour

Use the reciprocal.

1/3 x 6/1 = 2/1

Simplify

2/1 = 2

You can also solve it this way:

If 1/6 hour is 10 minutes, and it takes 10 minutes to walk 1/3 a mile, then it would take 30 minutes to walk a mile.

30 x 2 = 60

Either way, Richard walks 2 miles per hour.

Richard is walking at an average speed of 2 miles per hour which is the correct answer would be option (B).

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

To determine how fast is Richard walking, in miles per hour

We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time

Total distance traveled by Richard = 1/3 mile

The total time taken = 1/6 hour

Average speed = the total distance / the total time

Average speed = (1/3) / (1/6)

Reciprocal the denominator term, and we get

Average speed = (1/3) × 6

Average speed = 2 miles per hour

Therefore, he is at an average speed of 2 miles per hour

Learn more about the average speed here :

brainly.com/question/12322912

#SPJ2

there are 325 7th graders in 12 classes determine the unit rate

Answers

Answer:

The answer is 27.08

Step-by-step explanation:

I divided 325 by 12 and after divided it my answer was 27.08. Hope this helped

please help me as soon as possible ! I have till 12AM to finish all my work I have a ton please help! :)

Answers

Answer: second one, then the 4th one

Step-by-step explanation:

Why don't churches use WiFi?

Answers

Answer:

becuase it is evil

Step-by-step explanation:

the will be evil and will become bad :)

What is the slope of the line on the graph? Enter your answer in the box

Answers

Answer:

Step-by-step explanation:

Slope is 6/1

Which rate can you set StartFraction 7 miles Over 1 hour EndFraction equal to in order to find the distance traveled in 49 hours at 7 miles per hour?
StartFraction 7 hours Over question mark miles EndFraction
StartFraction 49 hours Over question mark miles EndFraction
StartFraction question mark miles Over 7 hours EndFraction
StartFraction question mark miles Over 49 hours EndFraction

Answers

Answer (It should be D, or     ? miles

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

                                                 49 hours

Step-by-step explanation:

If i'm wrong then oh-well i took my unit test online then got the answer wrong so i could see which one was correct before i actually took the unit test... hope i'm correct for you..this is correct on my unit test practice!

Simplify

75
fully, giving your answer in the form
a

b

Answers

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{75}[/tex]

= [tex]\sqrt{25(3)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Answer:

the answer to your question is

5√3.

Which expression is equivalent to 200?

Answers

the 2nd one. 100(2) = 200. 100 is a perfect square (10x10) the radical of 100 is 10

Answer:

10 sqrt 2

Step-by-step explanation:

Mrs. Chin paid a 20 percent tip on the bill for lunch.
Total
100%
20%
$2.75
Percents
20%
$2.75
20%
$2.75
20%
20%
$2.75
$2.75
If the tip amount was $2.75, what was the bill for lunch before the tip was added to it?
0 $5.50
$13.75
O $16.50
O $55.00

Answers

Answer:$13.75

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I just took the test

can someone please help me they are making us do a review from last year and i forgot how to do this

Answers

Answer:

See below.

Step-by-step explanation:

20.

[tex] \sqrt{43} - \pi = 6.5574 - 3.1416 = 3.4158 [/tex]

Plot the number between 3.4 and 3.5, but much closer to 3.4 than to 3.5 since it is approximately 3.42.

21.

(7.3 * 10^6) / (3.2 * 10^4) = 7.3/3.2 * 10^6/10^4 = 2.3 * 10^2

Please?
4. - 3+(-3)=-3-3 True False​

Answers

Step-by-step explanation:

-3 +(-3)

= -3 -3

True because (+)(-) = -

True, cause the negative cancels out the plus sign

find the values of x and z.​

Answers

Answer:

x = 2

z = 93°

Step-by-step explanation:

set the top and bottom equations equal to each other...

5x + 77 = 9x + 69, solve for x...

subtract 69 and 5x from both sides...

8 = 4x

divide both sides by 4...

x = 2

substitute 2 for x in either equation...

5(2) + 77 = 87°

subtract 87 from 180...

180° - 87° = 93°

z = 93°

write 45/6 as a mixed number in simplest form

Answers

Answer:

7 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

45/6 = 7 Reminder 3

3/6 = 1/2

Therefore, the answer as a mixed number in simplest form is 7 [tex]\frac{1}{2}[/tex]

Answer:

45/6

= 15/2

This is the answer

describe in words how to graph the line y=3

Answers

You should have put a picture so ppl would know what the question is askin
you can start by listing a bunch of coordinates where y=3

example- (4,3) (2,3) (5,3) (9,3) etc

all of these coordinates would start to create a line on the same line

in other words... to graph line y=3 you go to the coordinates where y would equal three and make a line connecting over the entire thing

PLEASEEEE HURRY!! What MUST be true for a parabola that has a maximum value? (Select all that apply) a.) the leading coefficient is positive b.) the leading coefficient is negative. C.) it opens up d.) opens down

Answers

Answer:

B.)

Step-by-step explanation:

that is a characteristic of a maximum value parabola.

Answer: it's the letter b.

Step-by-step explanation:

can someone help with that?

if x+y=2, calculate:
P=4x (x-3)+4y(y-3)+8xy​

Answers

Answer:

Step-by-step explanation:

P = 4x(x - 3) + 4y(y - 3) + 8xy

  = 4x² - 12x + 4y² - 12y + 8xy

  = (4x² + 8xy + 4y²) - (12x + 12y)

 = 4(x² + 2xy + y²) - 12(x + y)

 = 4(x + y)² - 12(x + y)

x+y =2 ⇒ P = 4.2² - 12.2 = 16 - 24 = -8


m_1=3x, m 2 = 4x, m 3 = 2x, find x.
10
20
30
40

Answers

Answer:

x=20

Step-by-step explanation:

3x+4x+2x = 180

9x =180

x = 20

note: brainliest would be appreciated.

What percent of Rs 80 is Rs 20

Answers

Answer:

Your answer is 25%

Step-by-step explanation:

Hope this helps you

Do mark me as brainliest

Need help pls it’s due today

Answers

Answer:

the answer is -2

Step-by-step explanation:

LOGIC lol

i’ll try to break it down for u so u can understand a little better.

the horizontal line is X and the vertical line is Y.

if u start in the middle going horizontally to the right u can find X and X will = 2

to find Y u need to start in the middle and count upwards until you find where the lines meet to create a point. Y = 1

X/Y = 2/1 which can simplify to 2

But since the line is going from left to right and going downwards it is negative hope this helped :)

A tennis ball is hit upward with a velocity of 48 feet per second. Use h(x) = -16x2 + 48x + 400 where h(t) is the
height of the ball after x seconds. Ignoring the height of the tennis player,
21. How long does it take the ball to hit the ground?
a. 1.5 sec
b. 8 sec
c. 6.72 sec
d. 436 sec
22. What is the maximum height reached by the ball? a. 1.5 ft
b. 8 ft
c. 6.72 ft
d. 436 ft
23. At what time does the ball reach the maximum height?
a. 1.5 sec
b. 8 ft
C. 6.72 ft
d. 436 ft
OCT
21

Answers

Answers:

21. C

22. D

23. A

Answer:

...

Step-by-step explanation:

...

Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $25 into her checking account. Complete the equation that can be used to find the number of weeks, x, until Rosa has the same amount of money in both accounts.

Answers

Answer:

It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.

Step-by-step explanation:

For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week ([tex]x[/tex]), she adds $21 to her savings account:

[tex]21x+117[/tex]

The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week ([tex]x[/tex]), she adds $25 to her checking account:

[tex]25x+95[/tex]

Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks ([tex]x[/tex]) it takes until Rosha has the same amount of money in both accounts:

[tex]21x+117=25x+95[/tex]

Subtract [tex]21x[/tex] from both sides of the equation:

[tex]117=4x+95[/tex]

Subtract [tex]95[/tex] from both sides of the equation:

[tex]22=4x[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]4[/tex]:

[tex]5.5=x[/tex]

[tex]x=5.5[/tex]

So it will take five and a half weeks for her accounts to have the same amount of money.

_

Check your work by substituting [tex]5.5[/tex] into the initial equation:

[tex]21(5.5)+117=25(5.5)+95[/tex]

[tex]115.5+117=137.5+95[/tex]

[tex]232.5=232.5[/tex]

Since the accounts have the same amount, the answer is correct!

Answer:

5.5 weeks  

Step-by-step explanation:

Given

Initial balance

Savings account = $117Checking account = $95

Added amount per week

Savings account = $21Checking account = $25

If number of weeks is x, then required equation is

117 + 21x = 95 + 25x

Solving for x

25x - 21x = 117 - 954x = 22x = 22/4x = 5.5

The answer is 5.5 weeks

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and two shirts for $84. Your friend buys two pairs of jeans, one pair of shorts and three shirts for $76. Your cousin buys one pair of jeans, two pairs of shorts and one shirt for $52. Find the cost of one pair of shorts.​

Answers

Answer:

So, cost of 1 pair of shorts =$12

Step-by-step explanation:

Let cost of 1 pair of jeans =x

Cost 1pair of shorts =y

cost of 1 pair of shirts=z

We can set up equations as

x+4 y+2 z=84

2 x+1 y+3 z=76

x+2 y+z=52

Solve the equations for y.

Take first and second equations multiply first equation by -2 and add it with second equation.

-2 x-8 y-4 z=-168

2 x+1 y+3 z=76

Add them, it gives -7 y-z =-92

Now, take second and third equations, multiply the third equation by -2 then add them together.

2 x +1 y +3 z =76

-2 x-4 y-2 z=-104

Add them together,

-3 y +z =-28

Now, take the -7 y -z =-92 and -3 y +z =-28

Add the equations

-10 y = -120

Divide both sides by -10

y =12.

So, cost of 1 pair of shorts =$12

z=8

The line shown represents the value y of change June has in her change jar. 1 week ago, she had $2 in the jar. What is an equation of the line in
point-slope form?
6
4
-2
O
2
O A. y - 2 = 4(x +1)
o B. y - 1 = 4(x+2)
OC. y + 2 = -4(X +1)
D. y + 1 = 4(x + 2)

Answers

The answer is A, hope it help

If LMN=XYZ, which congruences are true by CPCTC?

Answers

Answer: this is how you do it

Step-by-step explanation:

For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.

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