You are deciding whether to buy a new or two-year-old car (of the same make). Your decision will be based on which car will have cost you less when you resell it at the end of three years. Your cost consists of two parts: the loss in value of the car and repairs. A new car costs $25000 and loses 14% of its value each year. Repairs are $400 the first year and increase by 18% each subsequent year.
(a) For a new car, find the first three terms of the sequence d_n giving the depreciation (loss of value) in dollars in year n.

Give a formula for d_n.

Question

You are deciding whether to buy a new or two-year-old car (of the same make). Your decision will be based on which car will have cost you less when you resell it at the end of three years. Your cost consists of two parts: the loss in value of the car and repairs. A new car costs $25000 and loses 14% of its value each year. Repairs are $400 the first year and increase by 18% each subsequent year.
(a) For a new car, find the first three terms of the sequence d_n giving the depreciation (loss of value) in dollars in year n.

Give a formula for d_n.

anonymous · Answer

(b) Find the first three terms of the sequence r_n, the repair cost in dollars for a new car in year n.

Give a formula for r_n.

(c) Find the total cost of owning a new car for three years.

(d) Find the total cost of owning the two-year-old car for three years.

anonymous · Answer

I need help with the last 2 questions?

anonymous · Answer

for C, add the cost due to depreciation for the new car over the three years and the cost for repairs for the three years.
for D, do the same things over the interval t=3->5
if you have the formulas for d(n) and r(n) this should be easy.