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

write the number form 2.1 x 104 in standard form​

Answers

Answer:

218.4

Step-by-step explanation:

You multiply the numbers together.

Josh took his girlfriend out to dinner for her birthday. Dinner was $74.96. Tax on the meal was 7.5% of the price of the meal. They left a tip that was 18% of the meal and tax. What is the total cost of the meal?

Answers

Answer:

$97.07

Step-by-step explanation:

7.5% of 74.96 is 5.62

18% of 74.96 is 13.49

74.96+5.62+13.49=97.07

(9.r + 1)
(11x - 23),

Help me please

Answers

Answer

X= 8 i answered it  as fast as possible

Evaluate 6-2
A.
36
B.
1
36
C. -36
D. -12.

Answers

It’s -12 because if u multiply u get the same thing

Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buy 2 stamps each week. when will Mary have more stamps than Nick

Answers

Answer:

She already does have more than Nick!

Step-by-step explanation:

A father is 30 years elder than his son. after 8 years he will be 4 times as old as his son. find their present ages

Answers

Given:

Father is 30 years older than the son.

After 8 years , he will be 4 times as old as his son.

Find:

their present ages

Solution:

Let the son's age be x and age of father be y years

⟹ Father's age = Son's age + 30

⟹ y = x + 30 -- equation (1)

Also,

Son's age after 8 years = (x + 8) years.

Father's age after 8 years = (y + 8) years.

According to the above condition,

⟹ y + 8 = 4(x + 8)

⟹ y + 8 = 4x + 32

Substitute the value of y from equation (1).

⟹ x + 30 + 8 - 32 = 4x

⟹ 6 = 4x - x

⟹ 6 = 3x

⟹ 6/3 = x

⟹ 2 = x

Substitute the value x in equation (1).

⟹ y = 2 + 30

⟹ y = 32

Therefore,

Son's present age = x = 2 years.

Father's present age = y = 30 years.

I hope it will help you.

Regards.

Answer:

→ 11(2 + y) + 11y

→ 22 + 11y + 11y = 154

→ 22y + 22 = 154

→ 22y = 154 - 22

→ 22y = 132

→ y = 132/22

→ y = 6

Step-by-step explanation:


8x +32
Factor the gcf

Answers

Answer:

8(x+4)

Step-by-step explanation:

8(x+4)
8x+32
nope that helped

21.10 or 2.117 is bigger

Answers

Answer:

21.10

Step-by-step explanation:

The numbers before the decimal point represents the whole number so therefore, 21 as a whole number is bigger than 2.

Answer:21.10

Step-by-step explanation:

21.10

2.117

Look at place value.

a) Find the value of 8^1/3
b) Find the value of 8^2/3
c) Find the value of 16^3/4​

Answers

The 3 answers are 2,4,8

a. 8 can be written as 2^3== (2^3)^1/3,

would be cancelled and answer is 2

b. (2^3)^(2/3), 3 is cancelled.

2^2= 4

c. 16 can be written as 2^4

(2^4^(3/4), 4 is cancelled,

2^3 = 8

I need to figure this out in simplest form but I’m stuck

Answers

Answer:

z ≥ 2

Step-by-step explanation:

Step 1: Write inequality

-7z - (-5z - 4) ≤ -3z - 2 + 4z

Step 2: Solve for z

Distribute negative: -7z + 5z + 4 ≤ -3z - 2 + 4zCombine like terms: -2z + 4 ≤ z - 2Add 2z to both sides: 4 ≤ 3z - 2Add 2 to both sides: 6 ≤ 3zDivide both sides by 3: 2 ≤ zRewrite: z ≥ 2

Write the equation of the line below, in slope-intercept form.

Answers

Answer: y=3x-3

Step-by-step explanation: Formula: y=mx+b The slope is m which is 3, rise over run, and b is the y-intercept which is -3.

Answer:

y=3x+-3

Step-by-step explanation:

the slope is 3/1 which is 3.

the y intercept is the point at which theine crosses te y axis so it's-3

y=mx+b

y=3x+-3

40+5-9x+4
I need help with this it needs to be simplified

Answers

Step-by-step explanation:

40 + 5 - 9x + 4

45 - 9x + 4 = 0

41 - 9x = 0

41 = 9x

41/9 = x

Where do you start counting up 1 over 3?

Answers

Answer:

it depends where your y-intercept is at

if you dont have a y-intercept then just start anywhere on the y-intercept line then u go up one then over three

Step-by-step explanation:

Aurora has a cell phone plan that charges $65 for phone service plus $12 for each gigabyte of data used each month.If her bill for September is $113, how many gigabytes of data did she use in September?

Enter your answer as a number, like this: 42

Answers

Answer:

4

Step-by-step explanation:

65 + 12x=113

12x=113-65

12×=48

×=48/12

x=4

PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST FOR FASTEST AND CORRECT ANSWER!!!!
(IF YOU ONLY ANSWER FOR POINTS I WILL REPORT YOU :)

Line segment AB is shown on a coordinate grid:

1.) A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3.
The line segment is reflected about the y-axis to form A′B′. Which statement describes A′B′?
A. A′B′ is half the length of AB.
B. A′B′ and AB are equal in length.
C. A′B′ is greater than twice the length of AB.
D. A′B′ and AB are perpendicular.



2.) Line segment CD is shown on a coordinate grid:

A coordinate plane is shown. Line segment CD has endpoints 1 comma 2 and 1 comma negative 1.
The line segment is rotated 90 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
A. C′D′ and CD are equal in length.
B. C′D′ is parallel to CD.
C. C′D′ is half the length of CD.
D. C′D′ is greater than twice the length of CD.



3.) A shape is shown on the graph:

A coordinate plane is shown. Triangle ABC has vertices 3 comma 0, 3 comma negative 3, and 1 comma negative 3.
Which of the following is a reflection of the shape?
A.) A coordinate plane is shown. A triangle has vertices 3 comma 0, 1 comma 0, and 3 comma 3.
B.) A coordinate plane is shown. A triangle has vertices 2 comma 4, 2 comma 1 and 4 comma 4.
C.) A coordinate plane is shown. A triangle has vertices negative 1 comma 0, negative 1 comma negative 3, and negative 3 comma negative 3.
D.) A coordinate plane is shown. A triangle has vertices at negative 3 comma 0, negative 3 comma negative 3, and negative 1 comma negative 3.


A rotation is shown in the drawing:

A blue triangle is shown labeled Figure K. A dotted line shows a right turn to a green triangle labeled Figure K prime. The new image is directly above the original.
Which statement best describes the rotation?
A. Clockwise 90-degree rotation
B. Clockwise 180-degree rotation
C. Counterclockwise 90-degree rotation
D. Counterclockwise 180-degree rotation

Answers

Answer:

1) choice B, they are equal in length

2) choice A, theyre equal in length

3) Choice D, (-3,0) (-3, -3) (-1, -3)

4) Choice A, Clockwise 90- degree rotation

Step-by-step explanation:

The statements which describe A'B' is:

A'B' and AB are equal in length ⇒ (B)

Step-by-step explanation:

Let us take about reflication:

⇒ Reflections are mirror images, means the shape or the size of

  the figure does not affect by reflection, think of "folding" the

  graph over the y-axis or the x-axis

⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in

   the y-axis and used the formula (x, y) → (x, -y) for a reflection in

   the x-axis.

In our question segment AB, where A = (1, 3) and B = (5, 3) is

reflected about the y-axis

By using the rule above

∴ A' =(-1, 3)

∴ B' = (-5,3)

∵ Reflection does not change the shape or the size of the original figure

∴ Line segment A'B' has the same length of line segment AB

The correct answer is:

A'B' and AB are equal in length

You can check your answer by finding the lengths of AB and A'B'

∵ The length of AB = 5 - 1 = 4 units

∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units

∴ AB = A'B'

Note:

If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.

In one version of a trail mix, there are 6 cups of peanuts mixed with 4 cups of
raisins. In another version of trail mix, there are 13.5 cups of peanuts mixed
with 9 cups of raisins.
1a. Are the ratios equivalent for the two mixes?
Yes
No
This is a required question
16. Explain how you know.
Your answer

Answers

Ratio of peanuts to raisins in the first version of a trail mix = 3:2.

Ratio of peanuts to raisins in the second version of a trail mix = 4.5:3.

Divide the ratio by 1.5.

Ratio for second mix = 3:2.

The ratios are equivalent for the two mixtures.

Hopefully this helped.

select all ordered pairs that satisfy the function of y=2/3x+1.
(-3,-1)
(6,4)
(-6,3)
(3,3)

Answers

Answer:

A.

Step-by-step explanation:

Plugging in all the values into the equation, only A holds a true statement.

A. Sorry if wrong hope it helps tho

USING STRUCTURE What type of pair of angles are 6 and 13?


Answers

Answer:

Consecutive interior angles

Step-by-step explanation:

This chart may also help

100 pts + brainliest for the best answer :)

Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the president’s goal?

Least number of tickets = ___

Answers

Step-by-step explanation:

Least No. of tickets is 100

Answer:

least number of ticket is 100

Find the percent decrease. Round to the nearest percent.
From 94°F to 70°F

Answers

Answer:

25%

Step-by-step explanation:

94°F-100%

70°F-x%

x%=70°F*100%/94°F=74.5%~75%

100%-75%=25%

been an hour pls help 3

Answers

Answer:

a = 3.09 m/s^2

Step-by-step explanation:

v^2 = Vo^2 +2ax

v= final velocity

Vo = initial velocity

a = acceleration

x = distance

(-10.9)^2 = (-27.7)^2 + 2(a)(-105)

118.81 = 767.29 - 210a

-210a = -648.48

a = 3.09 m/s^2

[tex]( {v})^{2} - ({v(0)} \: )^{2} = 2 \times a \times ∆x[/tex]

[tex]( { - 10.9})^{2} - ({ - 27.7})^{2} = 2 \times a \times - 105 \\ [/tex]

[tex]118.81 - 767.29 = - 210 \times a[/tex]

[tex] - 648.48 = - 210 \times a[/tex]

Negatives simplified :

[tex]648.48 = 210 \times a[/tex]

Divided both sides by 210 :

[tex]a = \frac{648.48}{210} \\ [/tex]

[tex]a = 3.088 \: \: \frac{m}{ {s}^{2} } \\ [/tex]

_________________________________

I think it's the correct answer.

Hope helped.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

please help!!!!!! im desperate!!!

Answers

Answer:

148degrees

Step-by-step explanation:

add 180 plus 32 which is 212 subtract that from 360 which is 148

Can someone help me
7 + 2h = 3 + 4h

Answers

h = 2

[tex]7 + 2h = 3 + 4h[/tex]

You must isolate the variable to solve using the order of operations, or PEMDAS.

[tex]4 = 2h[/tex]

Subtract 3 from both sides of the equation, and subtract 2h from both sides of the equation.

[tex] \frac{4}{2} = h[/tex]

Divide both sides of the equation by 2.

[tex]h = 2[/tex]

jan is 5 years older than tom.jan will be 3/4 as old as jan.what is tom´s age now

Answers

6 but hold on. Helping..

What's the equation of a line that passes through (-4,-7) and (4,-1)

Answers

What's the equation of a line that passes through (-4,-7) and (4,-1)

Answer:

y=-x+3

Answer:

y = 3/4x - 4

Step-by-step explanation:

Slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-1 - (-7)) / (4 - (-4))

   = 6 / 8

   = 3/4

y-intercept:

y = mx + b

use the slope above and anyone of the given points to find b. Let's use (4, -1)

(-1) = 3/4(4) + b

-1 = 12/4 + b

- 1 = 3 + b

b = -4

Equation of a line:

y = mx + b

use the m and b from above to form the equation of a line.

y = 3/4x - 4

Jim and his friends are going to the Del Mar Fair and find they have two ticket options. In one option each person could buy an admission ticket for $5 and then pay $0.25 for each ride. The other option is to buy an admission ticket for $2 and then pay $0.75 a ride. What do you think Jim should do?

Answers

Step-by-step explanation:

let the cost of the options be y

since they are two already we can model the cost as

For the first ticket option

y=5+0.25(2)

y=5+0.5

y=$5.5

For the second ticket option

y=2+0.75(2)

y=2+1.5

y=$3.5

They should go for the second ticket option since it is $2 less than the first option

Your older brother drove to your grandparents’ house in a different car but left from the same location at the same time. If he traveled at a constant speed of 60 miles per hour, explain why he would reach your grandparents’ house first. Use words, diagrams, or numbers to explain your
Please answer I will mark brainlist

Answers

75m/60=1.25

1.25=1 1/4 hours

So the answer Is 1 1/4 hours.

hope this helps

Which equation is represented by the graph below?

Answers

Answer:

y = 2/3x + 6

Step-by-step explanation:

PLEASE HELP, URGENT. I’ll name Brainly if correct

Answers

Answer:

y=5-9x

Step-by-step explanation:

y is means y=

5 less than means 5-

product of 9 ans x means 9x

so... y=5-9x

Answer:

y = 9x - 5

Step-by-step explanation:

'is' = equal to

'less than' = difference/subtract

'product' = multiply

y = 9x - 5

Please... I really need help​

Answers

hope it's right that is what I thought good luck

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