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advanced-mathAn EV battery's capacity degrades to 80% of original after 1,000 charge cycles. What is the decay factor per cycle?
A
About 0.9998
B
About 0.99
C
About 0.9995
D
About 0.98
Correct Answer: A
Choice A is the correct answer. Find the decay factor per cycle.
- Model: where is decay factor per cycle.
- After 1000 cycles: .
- Simplify: .
- Solve: .
- Calculate: (loses about 0.02% per cycle).
💡 Strategic Tip: Small decay per cycle compounds to significant loss over many cycles.
Choice B is incorrect because this loses 1% per cycle (too much). Choice C is incorrect because this loses 0.05% per cycle. Choice D is incorrect because this loses 2% per cycle (way too much).