SOLUTION: Hello, I am building a study guide and I need a working example of this problem so I can study it for the exam next week. Can someone help me solve, thank you. The decay rate o

Question 1130962: Hello, I am building a study guide and I need a working example of this problem so I can study it for the exam next week. Can someone help me solve, thank you.
The decay rate of a certain chemical is 9.5% per year. What is its half-life? Use the exponential decay model P(t)
=P0e subscript -kt where k is the decay rate, and P0 is the original amount of chemical.
The half-life of the chemical is ______years.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

Your 9.5% per year information will allow you to find k.

From this, take natural log of both sides and find k.

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Answer by MathTherapy(10553) (Show Source): You can put this solution on YOUR website!

Hello, I am building a study guide and I need a working example of this problem so I can study it for the exam next week. Can someone help me solve, thank you.
The decay rate of a certain chemical is 9.5% per year. What is its half-life? Use the exponential decay model P(t)
=P0e subscript -kt where k is the decay rate, and P0 is the original amount of chemical.
The half-life of the chemical is ______years.

------- Substituting for P(t), and .095 (9.5%) for k

Half-life of the chemical, or
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