Foundation June 2019 Paper 2 Q21
21. This motorcycle depreciates by 16% per annum.
Motorcycle now
worth £2500
After how many whole years will this motorcycle be worth less than £1000?
You must show all your working. [3]
Motorcycle will be worth less than £1000 after …………… whole years.
| Scheme | Marks | Comments |
|---|---|---|
| \(2500 \times 0.84^n\) with any value of \(n\) from \(n=1\) to \(n=10\) or equivalent | M1 | |
| \(2500 \times 0.84^n\) with a second value of \(n\) from \(n=1\) to \(n=10\) or \(n = 6\) or equivalent leading to an answer closer to £1000 than the previous trial | m1 | (\(2500 \times 0.84 =\) £2100) (\(2500 \times 0.84^{2} =\) £1764) (\(2500 \times 0.84^{3} =\) £1481.76) (\(2500 \times 0.84^{4} =\) £1244.6784) (\(2500 \times 0.84^{5} =\) £1045.529...) (\(2500 \times 0.84^{6} =\) £878.245...) (\(2500 \times 0.84^{7} =\) £737.725...) (\(2500 \times 0.84^{8} =\) £619.689...) (\(2500 \times 0.84^{9} =\) £520.539...) (\(2500 \times 0.84^{10} =\) £437.253...) |
| 6 (years) | A1 | CAO If no working, award SC2 for an answer of 6 (years) |
| (3) |