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Compute all parts of given problem:

Problem: The radioactive source in most smoke detectors is ^241Am, which has a half-life of 432 years. Suppose only about 0.130mg of this material is needed.

Part I: Write down its alpha decay equation and predict the product nucleus.

Part II: What is the initial source activity?

Part III: What would be the source's activity after 40 years in operation?

Part IV: How many ^241Am, nuclei would have decayed in this 40-year-period?

Please break down every step and do not skip over anything - I have been at this problem awhile and keep getting hung up. Thanks for the help!

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