Question
A particular substance decays in such a way that it loses one third of its weight each day if the substance originally weighs 300 grams, how much is left after 10 days
Answers
GPT 3.5
If the substance loses one third of its weight each day, then after one day it would have $(1 - \frac{1}{3}) \times 300 = \frac{2}{3} \times 300 = 200$ grams. After the second day, it would have $\frac{2}{3} \times 200 = \frac{4}{3} \times 100 = \frac{400}{3}$ grams. After the third day, it would have $\frac{2}{3} \times \frac{400}{3} = \frac{800}{9}$ grams. And so on.
After 10 days, the weight of the substance would be $\frac{2}{3} \times \frac{800}{9} = \frac{1600}{27} \approx 59.26$ grams.
Therefore, after 10 days, there would be approximately 59.26 grams of the substance left.
After 10 days, the weight of the substance would be $\frac{2}{3} \times \frac{800}{9} = \frac{1600}{27} \approx 59.26$ grams.
Therefore, after 10 days, there would be approximately 59.26 grams of the substance left.