SOLUTION: Consider the following​ situation, which involves two options. Determine which option is less expensive. Are there unstated factors that might affect your​ decision?

Algebra.Com
Question 1126218: Consider the following​ situation, which involves two options. Determine which option is less expensive. Are there unstated factors that might affect your​ decision?
You currently drive
330 miles per week in a car that gets
19 miles per gallon of gas. You are considering buying a new​ fuel-efficient car for
15,000 ​(after trade-in on your current​ car) that gets
43 miles per gallon. Insurance premiums for the new and old car are ​$
1000
700 per​ year, respectively. You anticipate spending ​$
1300
1300 per year on repairs for the old car and having no repairs on the new car. Assume gas costs ​$
3.00
3.00 per gallon. Over a​ five-year period, is it less expensive to keep your old car or buy the new​ car?
Over a​ five-year period, the cost of the old car is ​$
nothing
and the cost of the new car is ​$
nothing
. ​Thus, over a​ five-year period, it is less expensive to


keep your old car.
buy the new car.
​(Round to the nearest dollar as​ needed.)

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Gas cost for old car is 52*330*$3/19 or $2709.47.
For 5 years it is $13547.37 +$3500 insurance +6500 on repairs or $23,547.37
For the new car the cost is 52*330*$3/43 or $1197.21, for 5 years $5986.05
Add to that $5000 for insurance and $15000 for purchase, and total is $25,986.95
It is slightly more expensive to buy a new car over the five year period.

RELATED QUESTIONS

A certain college offers students two monthly options for local telephone service.... (answered by Fombitz)
you play ball at a club. you have 2 options for paying. Option A, you pay $12 for court (answered by stanbon)
Rob is going to the country fair. There are two ticket options as shown in the chart... (answered by richwmiller)
Suppose you are offered a job for the month of Sept (it has 30 days) with the following... (answered by Boreal)
Consider two functions: g(x)=20(1.5)x and the function ​f(x)​ shown in the... (answered by Boreal)
You are a star basketball player and receive the following two offers. Which one should... (answered by htmentor)
Hello, I have a question regarding algebra in finance that I'm having problems with. The... (answered by solver91311)