1. **State the problem:** You deposit 200 every two weeks at an interest rate of 3% compounded bi-weekly. We want to find the total amount after 4 years. 2. **Identify the formula:** This is a future value of an annuity problem with compound interest. The formula is: $$ A = P \times \frac{(1 + r)^n - 1}{r} $$ where: - $A$ is the future value - $P$ is the payment per period - $r$ is the interest rate per period - $n$ is the total number of payments 3. **Calculate parameters:** - Interest rate per period $r = \frac{3}{100} = 0.03$ (3% per bi-weekly period) - Number of periods in 4 years: $n = 4 \times 26 = 104$ (since 52 weeks/year and bi-weekly means 26 periods/year) 4. **Plug values into the formula:** $$ A = 200 \times \frac{(1 + 0.03)^{104} - 1}{0.03} $$ 5. **Calculate intermediate powers:** $$ (1 + 0.03)^{104} = 1.03^{104} $$ 6. **Evaluate $1.03^{104}$:** Using a calculator, $1.03^{104} \approx 19.218$ (rounded) 7. **Substitute back:** $$ A = 200 \times \frac{19.218 - 1}{0.03} = 200 \times \frac{18.218}{0.03} $$ 8. **Simplify fraction:** $$ \frac{18.218}{0.03} = 607.267 $$ 9. **Calculate final amount:** $$ A = 200 \times 607.267 = 121453.4 $$ **Answer:** After 4 years, you will have approximately $121453.4$.