4MA0 Higher June 2015 Paper 4 Q12
12 The value of a boat depreciates by 16% each year.
At the end of 2012, the value of the boat is £65000
Work out the value of the boat at the end of 2015
(3)
| Scheme | Marks |
|---|---|
| eg \(\dfrac{16}{100} \times 65000\) oe or 10400 | M1 |
\(\dfrac{16}{100} \times (65000 - \text{“}10400\text{”})\) = 8736 \(\dfrac{16}{100} \times (65000 - \text{“}10400\text{”} - \text{“}8736\text{”})\) = 7338.24 65000 – “10400” – “8736” – “7338.24” | M1 |
| 38525.76 | A1 |
| (3) |
Notes
M1: For \(\dfrac{16}{100} \times 65000\) oe or 10400
M1: For completing Method
A1: for 38525 – 38526
65000 × 0.843: (M2 for 65000 × 0.843) or (M1 for 65000 × 0.84 or 54600 or 65000 × 0.842 or 45864 or 65000 × 0.844 or 32361.63..)
Accept (1 – 0.16) as equivalent to 0.84 throughout
SC: If no other marks gained, award M1 for 65000 x 0.48 oe (= 31200) or 65000 × 0.52 oe (= 33800)