“The problem seems to state simple interest (a 4% interest rate per year), while the AI response appears to solve for continuously compounded interest.”
DAILY compounded interest.
The AI clearly states upfront that it made that assumption based on a daily deposit.
The AI clearly states upfront that it made that assumption based on a daily deposit.
OK...
Daily interest rate (approximately) = \frac{0.04}{365} \approx 0.000109589