A radioactive substance is decaying exponentially with yearly decay factor 0.93.What is the monthly decay factor? Round your answer to two decimal places.

Question

A radioactive substance is decaying exponentially with yearly decay factor 0.93.What is the monthly decay factor? Round your answer to two decimal places. ​

Quizplus · Accepted Answer

The yearly decay factor is 0.93, which means the substance retains 93% of its amount each year. To find the monthly decay factor, we take the 12th root of 0.93 (since there are 12 months in a year), which gives approximately 0.99. This represents the substance retaining 99% of its amount each month.

A Radioactive Substance Is Decaying Exponentially with Yearly Decay Factor