1. **State the problem:** Nina wants to have R800000 in 4 years. We need to find the amount she must invest at the beginning of each year to reach this goal, assuming compound interest. 2. **Identify the type of problem:** This is an annuity problem where equal payments are made at the beginning of each period (annuity due). 3. **Formula for future value of an annuity due:** $$FV = P \times \frac{(1 + r)^n - 1}{r} \times (1 + r)$$ where: - $FV$ is the future value (R800000), - $P$ is the payment per period (what we want to find), - $r$ is the interest rate per period, - $n$ is the number of periods (4 years). 4. **Use compound interest tables or approximate interest rate:** Since the interest rate is not given, assume a rate $r$ from the tables or use a typical rate (e.g., 10% or 0.10) for demonstration. 5. **Calculate the annuity factor:** For $r=0.10$ and $n=4$, $$\frac{(1 + 0.10)^4 - 1}{0.10} = \frac{1.4641 - 1}{0.10} = 4.641$$ Multiply by $(1 + r) = 1.10$: $$4.641 \times 1.10 = 5.105$$ 6. **Solve for $P$:** $$800000 = P \times 5.105$$ $$P = \frac{800000}{5.105} = 156700.88$$ 7. **Interpretation:** Nina must invest approximately R156700.88 at the beginning of each year for 4 years at 10% compound interest to have R800000 at the end. **Note:** If a different interest rate is given, replace $r$ accordingly and recalculate.