SOLUTION: The half life of Erbrium-165 is 10.4 hours. What is the hourly decay rate? Express the decimal result to four significant digits and the percentage to two significant digits. How o

Algebra ->  Rational-functions -> SOLUTION: The half life of Erbrium-165 is 10.4 hours. What is the hourly decay rate? Express the decimal result to four significant digits and the percentage to two significant digits. How o      Log On


   

Question 1138147: The half life of Erbrium-165 is 10.4 hours. What is the hourly decay rate? Express the decimal result to four significant digits and the percentage to two significant digits. How old is the artifact?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


part 1....

If x is the fraction REMAINING after each hour and the half-life is 10.4 hours, then

x%5E%2810.4%29+=+.5
10.4%2Alog%28%28x%29%29+=+log%28%28.5%29%29
log%28%28x%29%29+=+log%28%28.5%29%29%2F10.4+=+-.0289452
x+=+10%5E%28-.0289452%29+=+.93552373

Then the hourly decay rate is

1-.93552373+=+.06447627

Round the answers as directed....

part 2....

You didn't give any information about an artifact....