1. **State the problem:** Eunice lent P 3,000 at 14% annual interest for 6 months. We need to find the interest earned. 2. **Formula used:** For simple interest, the formula is $$I = P \times r \times t$$ where: - $I$ is the interest earned - $P$ is the principal amount - $r$ is the annual interest rate (in decimal) - $t$ is the time in years 3. **Convert given values:** - $P = 3000$ - $r = 14\% = 0.14$ - $t = 6$ months $= \frac{6}{12} = 0.5$ years 4. **Calculate interest:** $$I = 3000 \times 0.14 \times 0.5$$ 5. **Intermediate step:** $$I = 3000 \times \cancel{0.14} \times \cancel{0.5}$$ 6. **Multiply:** $$I = 3000 \times 0.07 = 210$$ 7. **Answer:** Eunice earned P 210 in interest.