1. **State the problem:** We need to find the amount of each deposit into a sinking fund that will accumulate to $80,000 in 5 years. 2. **Given data:** - Future value (FV) = 80000 - Interest rate per year = 3% compounded semiannually - Number of years = 5 - Deposits made at the end of each 6-month period 3. **Calculate the number of periods and interest rate per period:** - Number of periods $n = 5 \times 2 = 10$ - Interest rate per period $i = \frac{3\%}{2} = 0.015$ 4. **Formula for sinking fund deposit (annuity payment):** $$ P = \frac{FV \times i}{(1+i)^n - 1} $$ 5. **Substitute the values:** $$ P = \frac{80000 \times 0.015}{(1+0.015)^{10} - 1} $$ 6. **Calculate the denominator:** $$ (1.015)^{10} = 1.16096848 $$ 7. **Calculate the denominator minus 1:** $$ 1.16096848 - 1 = 0.16096848 $$ 8. **Calculate the numerator:** $$ 80000 \times 0.015 = 1200 $$ 9. **Calculate the payment:** $$ P = \frac{1200}{0.16096848} = 7453.57 $$ 10. **Interpretation:** Each deposit should be approximately $7453.57 to accumulate $80,000 in 5 years with 3% interest compounded semiannually. **Final answer:** $$ \boxed{7453.57} $$