Manny is an online student who currently owns an older car that is fully paid for. He drives, on average, 110 miles per week to commute to work. With gas prices currently at $2.65 per gallon, he is considering buying a more fuel-efficient car, and wants to know if it would be a good financial decision. The old car Manny owns currently gets 16 miles per gallon for average fuel efficiency. It has been a great vehicle, but with its age, it needs repairs and maintenance that average $740 per year (as long as nothing serious goes wrong). The newer, more fuel-efficient car that he is looking at to purchase will cost a total of $6,500 over a three-year loan process. This car gets 28 miles per gallon and would only require an average of $10 per month for general maintenance. To help make a decision, Manny wants to calculate the total cost for each scenario over three years. He decides to use the quantitative reasoning process to do this.

Respuesta :

Answer:

The new car costs more

Old car = $5062.125

New car = $7161.357

Step-by-step explanation:

Manny drives an average of 110 miles per week with his old car. The old car gets 16 miles per gallon. The cost per gallon is $2.65 repair and Maintainance costs an average of $740 per year.

For the old car, to find the amount spent on the car we have

110/16 * 2.65 = $18.21875 / week

There are 52 weeks in a year. We have

10.21875*52 = $ 947.375

947.375 + 740

= $1687.375

= 1687.357 * 3

= $5062.125

The new car cost $6500 over a three year loan process.

The car gets 28 miles per gallon. It requires a maintenance f $10 per month. For the new car to find the amount, we have

110*28 * 2.65 *52 = $541.357

541.357 + 10(12) + 6500

= $7161.357

In this exercise we have to use the knowledge of finance to identify the best cost benefit is to buy a new car or a used car, thus we find that:

The new car costs more, that can be prove if;

  • Old car: [tex]\$5062.125[/tex]
  • New car: [tex]\$7161.357[/tex]

Manny drives an average of 110 miles per week with his old car. The old car gets 16 miles per gallon. The cost per gallon is [tex]\$2.65[/tex] repair and maintainance costs an average of [tex]\$740[/tex] per year. For the old car, to find the amount spent on the car we have:

[tex](110/16) * (2.65) = \$18.21875 / week[/tex]

There are 52 weeks in a year. We have:

[tex](10.21875)*(52) = \$ 947.375\\947.375 + 740 = \$1687.375\\(1687.357) * (3) = \$5062.125[/tex]

The new car cost [tex]\$6500[/tex] over a three year loan process. The car gets 28 miles per gallon. It requires a maintenance of [tex]\$10[/tex] per month. For the new car to find the amount, we have:

[tex](110)*(28) * (2.65) *(52) = \$541.357\\541.357 + 10*(12) + 6500 = \$ 7161.357[/tex]

See more about finances at brainly.com/question/10024737