Final answer:
The future value of £9000 invested for 3 years at 5.1% p.a. is £9918, and the compound interest earned is £918.
Step-by-step explanation:
To find the future value and compound interest, we can use the formula:
Future Value = Principal × (1 + interest rate)time
Compound interest = Future Value - Present Value
In this case, the principal is £9000, the interest rate is 5.1% per annum, and the time is 3 years. Plugging these values into the formula, we can calculate the future value and compound interest as follows:
- Future Value = £9000 × (1 + 0.051)3 = £9918
- Compound Interest = £9918 - £9000 = £918
Therefore, the correct answer is a) Future Value: £9918, Compound Interest: £918.