5. (15 points) John paid 28000 for a new car on 1st January 2021. It is...

 

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5. (15 points) John paid 28000 for a new car on 1st January 2021. It is expected that its value will depreciate at an average rate of 20% per year. (a) Find the value of the car on 1st January 2024. (b) Explain why the value of the car n years after it has been bought will be 28000-0.8". (c) John wants to sell the car when its value falls below 2000 and he calcu- lated that this will be n years after it was purchased. Find the value of n. (d) John pays for an insurance scheme to cover the maintenance of his car. The cost is 200 for the first year (paid on 1st January 2021), and for every following year the cost increases by 12%. Find how much he will have to pay to the scheme for the 5th year, giving your answer to the nearest penny. (e) Find the total amount he will have paid to the insurance scheme when he sells the car. 5. (15 points) John paid 28000 for a new car on 1st January 2021. It is expected that its value will depreciate at an average rate of 20% per year. (a) Find the value of the car on 1st January 2024. (b) Explain why the value of the car n years after it has been bought will be 28000-0.8". (c) John wants to sell the car when its value falls below 2000 and he calcu- lated that this will be n years after it was purchased. Find the value of n. (d) John pays for an insurance scheme to cover the maintenance of his car. The cost is 200 for the first year (paid on 1st January 2021), and for every following year the cost increases by 12%. Find how much he will have to pay to the scheme for the 5th year, giving your answer to the nearest penny. (e) Find the total amount he will have paid to the insurance scheme when he sells the car.

Answer rating: 100% (QA)

a To find the value of the car on January 1 2024 we need to calculate the depreciation for each year from 2021 to 2024 and subtract it from the initia... View the full answer