**Strontium 90 is a radioactive material that decays according to the function**

A(t)=A0e^−0.0244t, where A0 is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a sample of 400 grams of strontium-90.







a) the decay rate of strontium-90 is __%

b)approximately ___ grams of strontium 90 is left after 10 years

c) Only 100 grams of strontium-90 will be left in about ___ years

d)The half-life of strontium-90 is approximately ___ years 




round final answers to the nearest tenth as needed 




(no steps just answer)

a) 2.44%

b) 311.1 grams

c) 56.8 years

d) 28.4 years

Would you like details or have any questions?

Here are 5 questions you might want to ask:
1. How do you derive the decay constant from the half-life of a substance?
2. What is the formula for continuous exponential decay?
3. Can you explain the relationship between half-life and decay rate?
4. How do you calculate the remaining amount of a radioactive substance after a certain period?
5. What are some real-world applications of understanding radioactive decay?

**Tip:** To solve problems involving exponential decay, familiarize yourself with the key parameters like the decay constant and the initial amount, and use the exponential decay formula effectively.

Explore the decay of strontium-90 with calculations on decay rate, remaining amount after a specified time, and half-life determination. Solve for specific values using the exponential decay formula. Suitable for advanced high school or college students.

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