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63 grpo-gsm8k-test-30ep-success_global_step_50 gsm8k_main(0) 62 Question: If Marcy works for the same company for 40 years, she gets an annual pension of $50,000/year. Starting after 20 years, she becomes entitled to 5% of the value of the pension per year. If she quits after 30 years, what will her annual pension be? Answer: <|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Output format: end your response with \boxed{<answer>} where <answer> is the final answer. Question: If Marcy works for the same company for 40 years, she gets an annual pension of $50,000/year. Starting after 20 years, she becomes entitled to 5% of the value of the pension per year. If she quits after 30 years, what will her annual pension be? Answer:<|im_end|> <|im_start|>assistant 25000 0 [105000] [stop:-] To determine Marcy's annual pension after 30 years, we need to break down the problem into two parts: the pension she receives for the first 20 years and the pension she receives for the next 10 years. 1. **Pension for the first 20 years:** Marcy receives an annual pension of $50,000 for the first 20 years. \[ \text{Pension for the first 20 years} = 50,000 \times 20 = 1,000,000 \] 2. **Pension for the next 10 years:** After 20 years, Marcy becomes entitled to 5% of the value of her pension per year. The value of her pension after 20 years is $1,000,000. \[ \text{Annual pension for the next 10 years} = 1,000,000 \times 0.05 = 50,000 \] 3. **Total pension after 30 years:** The total pension Marcy receives after 30 years is the sum of the pension for the first 20 years and the pension for the next 10 years. \[ \text{Total pension after 30 years} = 1,000,000 + 50,000 = 1,050,000 \] Thus, the annual pension Marcy will receive after 30 years is \(\boxed{105000}\).
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