3. Titanium-44 is a radioactive isotope with a half-life of 63 years. Write an exponential equation to model the amount, A(t), remaining after t years from an initial sample of 20 mg. Show all work algebraically. а. b. How much of the sample will remain after 30 years? Show all work algebraically. When will the sample decay to 2 mg? Show all work algebraically using logarithms. С.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 15E
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3. Titanium-44 is a radioactive isotope with a half-life of 63 years.
Write an exponential equation to model the amount, A(t), remaining after t years from
an initial sample of 20 mg. Show all work algebraically.
b. How much of the sample will remain after 30 years? Show all work algebraically.
When will the sample decay to 2 mg? Show all work algebraically using logarithms.
C.
Transcribed Image Text:3. Titanium-44 is a radioactive isotope with a half-life of 63 years. Write an exponential equation to model the amount, A(t), remaining after t years from an initial sample of 20 mg. Show all work algebraically. b. How much of the sample will remain after 30 years? Show all work algebraically. When will the sample decay to 2 mg? Show all work algebraically using logarithms. C.
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