4MA0 Higher January 2016 Paper 3 Q14
14 Liam invests £8000 in a savings account for 4 years.
The savings account pays compound interest at a rate of
4.5 % for the first year
2.75 % for all subsequent years.
(a) Work out the value of Liam’s investment at the end of 4 years. (3)
Max invests some money in a savings bond.
The savings bond pays interest at a rate of 2% per year.
At the end of the first year, his savings bond is worth £5763
(b) How much money did Max invest in the savings bond? (3)
| Scheme | Marks |
|---|---|
| 8000 × 1.045 oe (=8360) | M1 |
| "8360" × \(1.0275^3\) oe | M1 |
| 9068.84 | A1 |
| (3) |
Notes
M1: or \(8000 \times 1.0275^3\) (=8678.316375)
M1: "8678.316375" × 1.045
A1: accept 9069 and answers in the range 9068.8(0) - 9068.9(0)
SC: B1 for an answer of 9020 (8000 + 360 + 3×220)
M2 for \(8000 \times 1.045 \times 1.0275^3\)
| Scheme | Marks |
|---|---|
| 1 + 0.02 (=1.02) | M1 |
| 5763 ÷ “1.02” oe | M1 |
| 5650 | A1 |
| (3) |
Notes
M1: M1 for 100(%) + 2(%) (= 102(%))
M1: dep
M1 (dep) for 5763÷”102” × 100 oe