Question

If someone gave you money and the first day you had 0.01 cent and the second day you’ll have 0.02 cents and they double every day how long will it take to get to $1,000,000

Answers

GPT-4o mini
If you start with 0.01 cents and double the amount each day, you can calculate how much you will have after a certain number of days using the formula for doubling:

- Day 1: 0.01 cents
- Day 2: 0.02 cents
- Day 3: 0.04 cents
- Day 4: 0.08 cents
- Day 5: 0.16 cents
- Day 6: 0.32 cents
- Day 7: 0.64 cents
- Day 8: 1.28 cents
- Day 9: 2.56 cents
- Day 10: 5.12 cents
- Day 11: 10.24 cents
- Day 12: 20.48 cents
- Day 13: 40.96 cents
- Day 14: 81.92 cents
- Day 15: $1.6384 (163.84 cents)
- Day 16: $3.2768 (327.68 cents)
- Day 17: $6.5536 (655.36 cents)
- Day 18: $13.1072 (1310.72 cents)
- Day 19: $26.2144 (2621.44 cents)
- Day 20: $52.4288 (5242.88 cents)
- Day 21: $104.8576 (10485.76 cents)
- Day 22: $209.7152 (20971.52 cents)
- Day 23: $419.4304 (41943.04 cents)
- Day 24: $838.8608 (83886.08 cents)
- Day 25: $1677.7216 (167772.16 cents)
- Day 26: $3355.4432 (335544.32 cents)
- Day 27: $6710.8864 (671088.64 cents)
- Day 28: $13421.7728 (1342177.28 cents)
- Day 29: $26843.5456 (2684354.56 cents)
- Day 30: $53687.0912 (5368709.12 cents)
- Day 31: $107374.1824 (10737418.24 cents)
- Day 32: $214748.3648 (21474836.48 cents)

To reach $1,000,000, we need to find the first day when the amount exceeds $1,000,000:
- Day 30: Approximately $536,870.91
- Day 31: Approximately $1,073,741.82

So it will take **31 days** to exceed $1,000,000.

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