43.0k views
5 votes
Mr. Steiner purchased a car for about $14,000. Assuming his loan was compounded monthly at an interest rate of 4.9% for 6 years. How much will he pay for the car in total? (Use the formula below. Round to TWO decimal places and include $ in front)

User Etchelon
by
8.4k points

1 Answer

3 votes

Answer: His car was $415.18 in total

Step-by-step explanation: The calculation of the present value of a cash flow or other income stream that produces $1 in income over so many periods of time.

Amount borrowed = $12,500

Annual interest rate = 12.00%

Monthly interest rate = 1.00%

Period = 36 months

Let monthly payment be x

12,500 = x/1.01 + x/1.01^2 + x/1.01^3 … + x/1.01^35 + x/1.01^36

12,500 = x * (1 - (1/1.01)^36) / 0.01

12,500 = x * 30.107505

x = 12,500/30.107505

x = 415.18

So, the monthly payment is $415.18

User Bobbie
by
8.3k points

Related questions

1 answer
5 votes
162k views
asked Jan 12, 2024 92.6k views
Kanielc asked Jan 12, 2024
by Kanielc
8.2k points
1 answer
3 votes
92.6k views
1 answer
4 votes
85.3k views