Mary's car is 10 years old and has a problem. The repair man indicates that it will cost her $1200.00 to repair her car. She can purchase a different, more efficient car for $4,500.00. Her present car averages about $2,000.00 per year for gas while the new car would average about $1,500.00 per year. Find the number of years for when the total cost of repair would equal the total cost of replacement.

Answers

Answer 1

Answer:

6 years 6 months

Step-by-step explanation:

given data

let the number of year be x

le the total cost b y

for the older car

cost of repair $1200

cost of gas  $2,000.00  per year

the cost for using the old car is

y=1200+2000x-----------1

for the new car

cost of $4500

cost of gas  $1,500.00 per year

y=4500+1500x-----------2

equating 1 and 2 we have

1200+2000x=4500+1500x

solving for x

1200-4500=1500x-2000x

-3300=-500x

x=3300/500

x=6.6

The number of years is 6 years 6 months


Related Questions

The polynomial below is a perfect square trinomial of the form A^2 - 2AB+ B^2
16X^2- 36x9

True or False?

Answers

true

A² - 2AB + B² 16x²-36x8

thanks

$25,405.56-$7,983.12

Answers

Answer:

the answer is 17 422.44 US$

Step-by-step explanation:

Answer:

17,467.44

Step-by-step explanation:

7x-6- 1/4 {8x-12}=22

Answers

Answer: 90

Step-by-step explanation:

Mayzie and Madison are playing games at Dave and Buster’s. Mayzie started with $15 and the video game she is playing costs $.75 per game. Madison started with $13 and her video game costs $.50 per game. After how many games will the two girls have the same amount of money remaining?

Answers

Answer:

Mayzle at 8th game and madison at the 12th game

A shirt you like has a list price of $40.00. Today only, it is on sale at 35% off.
What is the sale price?

Answers

sale price of the shirt is $26
the sale price of the shirt is $26.00

During a​ sale, a dress is marked down from a selling price of ​$80 to a sale price of ​$64. What is the percent​ markdown?

Answers

Answer: 25% markdown

Jocelyn is going to invest in an account paying an interest rate of 2.3% compounded
continuously. How much would Jocelyn need to invest, to the nearest hundred
dollars, for the value of the account to reach $550 in 15 years?

Answers

9514 1404 393

Answer:

  $400

Step-by-step explanation:

The formula for the value of an account with interest rate r compounded continuously for t years is ...

  A = Pe^(rt)

We want to find P when A = 550, r = .023, and t = 15.

  550 = Pe^(0.023·15) ≈ 1.41199P

  P = 550/1.41199 = 389.52 ≈ 400

Jocelyn would need to invest about $400 to reach $550 in 15 years.

please helpppppppppp me

Answers

Answer:

y = 15x

Step-by-step explanation:

It’s the last one. y=15x

I need an answer! Madison Middle School sells rolls of wrapping paper to raise money for student activities. The school gets half of all sales, minus $300 for prizes to top sellers. What is the total sales if the school earns $5000?

Answers

Answer:

$10,600 worth of wrapping paper

Step-by-step explanation:

Let the total sales for wrapping paper be represented by variable x

Amount the school keeps is half of total sales x, minus $300. Written as an equation, that would be ; 0.5x - 300

If the schools wants to earn $5000, this amount would be equal to the above equation of what it keeps;

0.5x - 300 = 5000

add 300 to both sides;

0.5x = 5000+300

0.5x = 5300

divide both sides by 0.5 and solve for x;

x=5300 / 0.5

x= 10,600

Therefore, they need to sell $10,600 worth of wrapping paper.

hope dat good?

10300 dollars is the sales of the rolls or wrapping paper

ASAP ASAP ASAP
please help me

Answers

Answer:

35

5x7=35

Can I be brainliest plzzz

Answer:

5*7=35 so the area is 35 sq in.

Step-by-step explanation:

The equation d = 22.5n + 27.5 represents the amount of money, in dollars, that Kathryn earns for each sale she makes. The variable n represents the number of items sold, and the variable d represents the total amount of money earned.

What is the number of items Kathryn must sell in order to earn $500?


(A)10

(B)17

(C)21

(D)23

Answers

The answer will be D I think?
C. X=21
Plug in 500 as d and solve












Find the value of x and y

Answers

angle x is supplemental to the 117 degrees so u do 180-117=x so x=63. and since x is complementary to y u do 90-63=y so y=27

When Marcus weighs himself at home, he weighs 179 lbs. When he weighs himself on a metric scale, he weighs 81.4 kg. Assuming that each scale is accurate, 1 kg = ______ lbs ?​

Answers

Answer:

2.199 lbs

Step-by-step explanation:

We can divide 179 by 81.4 to get how many pounds there are per kilogram. When we do this, we get 2.19 pounds per kilogram. We know this because we divided both sides by 81.4 as shown here:

81.4kg = 179lbs

    /             /

81.4           81.4

1kg = 2.199 lbs

Answer

Step-by-step explanation:

15. Jorge is getting a loan from the bank for a new car. The loan amount is $25,000. The bank will compound the interest annually for 6 years at 4%. What will be the total amount of the loan at the end of the 4 years?

Answers

Answer:

$120000

Step-by-step explanation:

"15. Jorge is getting a loan from the bank for a new car. The loan amount is $25,000. The bank will compound the interest annually for 6 years at 4%. What will be the total amount of the loan at the end of the 4 years?"

the expression for compound interest is given as

A=P(1+r)^t

given data

Principal P=$25000

rate r=4%= 0.04

time t= 4years

Substituting into the expression we have

A=P(1+r)^t

A=25000(1+0.04)^4

A=25000(1.04)^4

A=25000x4.80

A=$120000

The total amount of loan after 4 years is $120000

como se escribe 5.252525... como un numero mixto ​

Answers

Answer:

no te entiendo????

Step-by-step explanation:

helpp ill mark u as brain list​

Answers

Answer:

the answer is D

hopefully, itś right

HEEEEEEEEEEEEEEELP ASAP

Answers

Answer:

X=11

Step-by-step explanation:

Vertical angles equal each other.

5x+10 = 7x -12

Then solve for x by placing all the X values on one side and the number values on the other side.

5x+10=7x-12

5x-7x=-12-10

-2x=-22

x=11

A man has 1/3 of a kilogram of chocolate. He shares it equally amongst 4 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.

Answers

Answer:

1/12 of a kilogram

Please answer I will give you the crown

Answers

Answer:

-6x - 9[tex]-9(\frac{2}{3}x) - 9(1)[/tex]

I hope this helps!

Answer:

B and F

Step-by-step explanation:

B. I used the distributive property and distributed an -9 into both of the values so:

-9(2/3x+1) = -9(2/3x) - (9)(1)

D. You can simplify the equation above so:

-9(2/3x) - (9)(1)

-6x - 9

Halloween or Christmas :))

Answers

Answer:

Christmas! I get to go to Maine and Indiana and have four christmas's. Also, I get do a lot of fun stuff.

point a and b are plotted on the coordinate grid below​

Answers

The answer is (2, 2)

Don’t just calculate it please answer for the boxes will give brainliest if i can.

Answers

f(x) = 2x + 5

f(-1) = 2(-1) + 5

f(-1) = -2 + 5

f(-1) = 3

f(2) = 2(2) + 5

f(2) = 4 + 5

f(2) = 9

f(0) = 2(0) + 5

f(0) = 0 + 5

f(0) = 5

f(z) = 2(z) + 5

f(z) = 2z + 5

The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. cylinder 50 liters contains oxygen at a temperature of 200 K and a pressure of 6 atmospheres , what would the gas pressure be if the volume was changed to 25 liters and the temperature raised to 250 K?

Answers

Answer:

15 atm

Step-by-step explanation:

V varies directly with T and inversely with P.

V = kT/P

When T = 200 and P = 6, V = 50.

50 = k (200) / (6)

k = 1.5

When V = 25 and T = 250:

25 = 1.5 (250) / P

P = 15

Given that we know the relation between volume, pressure and temperature (given for the ideal gas), we want to find the change in pressure associated to the given change in volume and temperature.

We will see that the pressure after the change is 15 atm.

Let's see how to solve this problem:

So we start by knowing that the volume depends directly on the temperature and inversely on the pressure, then the relation is something like:

V = k*(T/P)

Where k is a constant.

We know that a cylinder of 50lt is at a temperature of 200K and with a pressure of 6 atm, replacing that in the above equation we get:

50lt = k*(200K/6atm)

With this we can find the value of k:

50lt*(6atm/200K) = k = 1.5 lt*atm/K

Then the equation is just:

V = (1.5 lt*atm/K)*(T/P)

Now the problem says that the volume is 25lt and the temperature is 250K, replacing that in the equation we get:

25lt =  (1.5 lt*atm/K)*(250K/P)

Solving for P we have:

P = (1.5 lt*atm/K)*(250K/25lt) = 15atm

Concluding, the pressure is after the change is 15 atm

If you want to learn more about ideal gases, you can read:

https://brainly.com/question/25290815

PLEASE HELP ILL MARK YOU WHAT U WANT!

Given; a (x) = x^3 – 4x – 3 when x> -3 and a (x) =l –2x - 5|when <-8
Evaluate a (0)

Answers

Answer: ^3(2+)^4)

Step-by-step explanation: (5^=+6)+9(=)7+3^

i want a brainliest

Answer:

2

Step-by-step explanation:

a(x) = x^3 – 4x – 3

a(0) = 0 - 0 -3

a(0) = -3

a(x) = l –2x - 5|

a(0) = | 0 - 5 |

a(0) = 5

therefore a(0) = -3 + 5 = 2

The length of a garden is 10 feet longer than three times the width. The perimeter of the garden is 240 feet. Find the length and the width of the garden.

Answers

Answer: width = 27.5 feet and length = 92.5 feet

Step-by-step explanation:

Let width = x, then length = 3x+10

Perimeter of rectangle = 2 (length +width)

Given:  Perimeter of the garden = 240 feet.

Then, [tex]2 (x+3x+10)=240[/tex]

[tex]\Rightarrow\ 2 (x+3x+10)=240\\\\\Rightarrow\ (4x+10)=120\\\\\Rightarrow\ 4x=110\\\\\Rightarrow\ x=\dfrac{110}{4}=27.5[/tex]

i.e. width = 27.5 feet

Then, length = 3(27.5)+10= 82.5+10=92.5 feet

Hence, width = 27.5 feet and length = 92.5 feet

who here is doing vlacs?

Answers

Answer:

Not me

Step-by-step explanation:

I am and I REALLY like it

Oh my god wait

I know you...

You are the one who writes like this "What was the economic effect of the Roman conquest. …"

six tubs of frosting for $5​

Answers

the answer is 30 because 6 times 5 equals 30 .

Answerjej:

Step-by-step explanation:

A water park sold 39 child tickets and 36 adult tickets. What percentage of the tickets sold were child tickets?

Answers

Answer:

39 / 36 = 108.333333333333%

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

39/36

The number above the bar is the numerator: 39

The number below the bar is the denominator: 36

Divide the numerator by the denominator to get fraction's value:

Val = 39 ÷ 36

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% = p/100 = p ÷ 100.

Calculate fraction's value.

Divide the numerator by the denominator to get fraction's value:

39/36 =

39 ÷ 36 ≈

1.083333333333333

Note:

100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100,

... and its value doesn't change.

Calculate the percent value:

1.083333333333333 =

1.083333333333333 × 100/100 =

(1.083333333333333 × 100)/100 ≈

108.333333333333/100 =

108.333333333333% ≈

108.33%;

In other words:

1) Calculate fraction's value.

2) Multiply that number by 100.

3) Add the percent sign % to it.

Answer:

:: written in two ways ::

Rounded to 12 decimals:

39/36 ≈ 108.333333333333%

Rounded to maximum 2 decimals:

39/36 ≈ 108.33%

i hope this helped:))

solve the problem cos15

Answers

Answer:

-.759

Step-by-step explanation:

i hope whoever sees this has a good day

Answers

Answer:

I hope you have a great day and also to whoever sees this.

Others pls don't get mad that you didn't get to answer

Step-by-step explanation:

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