The mass of a radioactive substance follows an exponential decay model, with a decay rate of 5% per day. A sample of this radioactive substance was taken six days ago. If the sample has a mass of 3 kg today, find the initial mass of the sample. Round your answer to two decimal places.

asked by Kim

12 years ago

1,320 views

0

0

1 answer

3 = a(.95)^6
a = 3/.95^6 = 4.08 kg

answered by Reiny

0

1

Ask a New Question or answer this question.

Question

The mass of a radioactive substance follows an exponential decay model, with a decay rate of 5% per day. A sample of this radioactive substance was taken six days ago. If the sample has a mass of 3 kg today, find the initial mass of the sample. Round your answer to two decimal places.

1 answer

3 = a(.95)^6
a = 3/.95^6 = 4.08 kg

Reiny · Answer

3 = a(.95)^6 a = 3/.95^6 = 4.08 kg