The half-life of ^40K is 1.27 billion years (bY). It was determined that only 10.2% of the original ^40K remains in some of the earth's oldest rocks, what is the minimum age of the earth? a.) 9.2 bY b.) 4.2 bY c.) 3.6 bY d.) 2.1 bY (please show work)

Chemistry for Today: General, Organic, and Biochemistry
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Chapter10: Radioactivity And Nuclear Processes
Section: Chapter Questions
Problem 10.85E
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The half-life of ^40K is 1.27 billion years (bY). It was determined that only 10.2% of the original ^40K remains in some of the earth's oldest rocks, what is the minimum age of the earth?

a.) 9.2 bY

b.) 4.2 bY

c.) 3.6 bY

d.) 2.1 bY

(please show work) 

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