1. **Problem:** Calculate the amount Sam needs to pay after multiple discounts on a $580 basic annual premium. 2. **Formula and rules:** When multiple discounts apply, each subsequent discount is applied to the already discounted price. 3. **Step 1:** Identify applicable discounts. - Sam has been with the company for 8 years (eligible for 20% discount). - He has more than 2 insurance policies (eligible for 15% discount). 4. **Step 2:** Apply the first discount (20%) to the basic premium. $$580 \times (1 - 0.20) = 580 \times 0.80 = 464$$ 5. **Step 3:** Apply the second discount (15%) to the new price. $$464 \times (1 - 0.15) = 464 \times 0.85 = 394.4$$ 6. **Step 4:** Sam needs to pay $394.40 after discounts. --- **Final answer:** Sam pays $394.40 after discounts. "slug": "car insurance", "subject": "financial maths", "desmos": {"latex": "y=580*(1-0.20)*(1-0.15)","features": {"intercepts": true,"extrema": true}}, "q_count": 21