#### 8 Ah

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• A rare battery decays exponentially, with half-life of 8 years. If initially holding 64 Ah (amp-hours), how much charge remains after 24 years?
• Number of half-lives: 24 ÷ 8 = 3
• Remaining charge: \( 64 \times \left(\frac{1}{2}\right)^3 = 64 \times \frac{1}{8} = 8 \) Ah
• A triangle has side lengths 13 cm, 14 cm, and 15 cm. What is its area using Heron’s formula?
• Semi-perimeter: \( s = \frac{13+14+15}{2} = 21 \) cm
• Area: \( \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{21(21-13)(21-14)(21-15)} \)

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