4MA0 Higher January 2014 Paper 3 Q10
10 Serena bought a car that had a value of $16 000
At the end of each year, the value of her car had depreciated by 15%.
Calculate the value of her car at the end of 3 years.
(3)
| Scheme | Marks |
|---|---|
| eg \(\dfrac{15}{100} \times 16000\) oe or 2400 | M1 |
\(\dfrac{15}{100} \times (16000 - \text{“}2400\text{”})\) = 2040 \(\dfrac{15}{100} \times (16000 - \text{“}2400\text{”} - \text{“}2040\text{”})\) = 1734 16000 – “2400” – “2040” – “1734” | M1 |
| 9826 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for eg \(\dfrac{15}{100} \times 16000\) oe or 2400
M1: for completing method
A1: cao
OR \(16000 \times 0.85^3\)
M2 for \(16000 \times 0.85^3\)
(M1 for \(16000 \times 0.85\) or 13600 or \(16000 \times 0.85^2\) or 11560 or \(16000 \times 0.85^4\))
Accept (1 – 0.15) as equivalent to 0.85 throughout
SC: If no other marks gained, award M1 for \(16000 \times 0.55\) oe or 8800