The mass of a substance, which follows a *continuous exponential growth model*, is being studied in a lab. A sample increases continuously at a relative rate of 3% per day. Find the mass of the sample after five days if there were 65 grams of the substance present at the beginning of the study.

Do not round any intermediate computations, and round your answer to the nearest tenth.

The mass of the sample after 5 days will be approximately **75.5 grams**.

Would you like more details or have any questions? Here are some related questions to consider:

1. What would the mass be after 10 days?
2. How would the mass change if the growth rate was 5% per day?
3. Can you calculate the mass after 3 days?
4. What if the initial mass was 100 grams instead of 65 grams?
5. How does the mass change after 7 days?
6. How much mass is added after 5 days?
7. What is the doubling time for this substance?
8. How would the result change if the growth rate was compounded semi-daily?

**Tip:** The continuous growth model is based on the natural exponential function, which is critical for modeling many real-world processes like population growth or radioactive decay.

Explore how to calculate the mass of a substance using a continuous exponential growth model with a 3% daily growth rate. Begin with an initial mass of 65 grams and find the mass after 5 days. Learn about the exponential growth formula and its application in real-world scenarios. Get detailed steps and answers to related questions.

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