Higher June 2018 Paper 4 Q12
12 The value of a car, £\(V\), is given by
\[V = 16\,500 \times 0.82^n\]where \(n\) is the number of years after it is bought from new.
(a) Write down the value of the car when new. [1]
(b) Write down the annual percentage decrease in the value of the car. [1]
(c) Show that the value of the car after 4 years is less than half its value when new. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 16 500 | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 18 | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 7460 and 8250 oe or [0].452… and [0] .5 oe | 2 | M1 for [16 500 ×] \(.82^4\) or 7460 or [0].452 | accept 7460.01 or 7460.009… accept any correct argument for 2 marks e.g. 7460×2 and 16 500 or better |