#1358

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• Number of doubling periods: (1690 – 1620) / 20 = 70 / 20 = 3.5
• Growth factor: 2^3.5 = 2^3 × √2 = 8 × 1.4142 ≈ 11.3136
• Final count: 120 × 11.3136 ≈ <<120*11.3136=1357.632>>1357.632 → round to 1358
• An engineer designs a lightweight frame for an electric motorcycle using a composite material that reduces weight by 18% compared to aluminum. If the aluminum version weighs 45 kg, what is the weight of the composite frame?
• Weight reduction: 18% of 45 = 0.18 × 45 = <<0.18*45=8.1>>8.1 kg
• Composite weight: 45 – 8.1 = <<45-8.1=36.9>>36.9 kg

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