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The question provides the radioactive decay function of Strontium-90:

\[
y = y_0 e^{-0.024t}
\]

where \( y_0 \) is the initial amount and \( y \) is the amount remaining after \( t \) years. We are asked to find the half-life of Strontium-90, which is the time required for the substance to reduce to half of its initial amount.

### Steps to Solve
1. **Set up the half-life equation:**
   At the half-life \( t = T_{1/2} \), the amount \( y \) will be half of \( y_0 \):
   \[
   \frac{y_0}{2} = y_0 e^{-0.024 T_{1/2}}
   \]

2. **Divide by \( y_0 \) (assuming \( y_0 \neq 0 \)):**
   \[
   \frac{1}{2} = e^{-0.024 T_{1/2}}
   \]

3. **Take the natural logarithm of both sides:**
   \[
   \ln\left(\frac{1}{2}\right) = -0.024 T_{1/2}
   \]

   Since \( \ln\left(\frac{1}{2}\right) = -\ln(2) \), we have:
   \[
   -\ln(2) = -0.024 T_{1/2}
   \]

4. **Solve for \( T_{1/2} \):**
   \[
   T_{1/2} = \frac{\ln(2)}{0.024}
   \]

5. **Calculate \( T_{1/2} \):**
   Using \( \ln(2) \approx 0.693 \),
   \[
   T_{1/2} \approx \frac{0.693}{0.024} \approx 28.9 \text{ years}
   \]

### Answer
The half-life of Strontium-90 is approximately **28.9 years**.

Would you like a further breakdown of the calculation steps or have any questions?

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Here are some related questions for practice:

1. What is the general formula for the half-life of a radioactive substance given an exponential decay model?
2. How would you calculate the remaining amount of a substance after a certain number of years?
3. If the decay rate was different, say -0.03 instead of -0.024, how would the half-life change?
4. How does the half-life formula change if the exponential base is different from \( e \)?
5. Can this decay model apply to other processes besides radioactive decay?

**Tip:** When working with exponential decay problems, remember that the half-life is independent of the initial amount and only depends on the decay constant.

Strontium-90 is a radioactive substance that decays according to the following function, where y0 is the initial amount present, and y is the amount present at time t (in years).

y = y0 * e^(-0.024t)

Find the half-life of Strontium-90. Do not round any intermediate computations, and round your answer to the nearest tenth.

Learn how to find the half-life of Strontium-90 using exponential decay equations. This problem involves understanding radioactive decay, logarithmic functions, and solving for half-life using the decay constant. Suitable for high school students in Grades 11-12.

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