SOLUTION: A hospital uses cobalt-60 in its radiotherapy treatments for cancer patients. Colbalt-60 has a half -life of 5.2 years. If the hospital has 75g of colbalt-60, how many grams will b

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: A hospital uses cobalt-60 in its radiotherapy treatments for cancer patients. Colbalt-60 has a half -life of 5.2 years. If the hospital has 75g of colbalt-60, how many grams will b      Log On


   

Question 1037489: A hospital uses cobalt-60 in its radiotherapy treatments for cancer patients. Colbalt-60 has a half -life of 5.2 years. If the hospital has 75g of colbalt-60, how many grams will be left after one year?
Thanks so much
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The formula is:
+A+=+A%5B0%5D%2A%28+1%2F2+%29%5E%28t%2Fh%29+
+A+=+75%2A%28+1%2F2+%29%5E%28+1%2F5.2+%29+
+A+=+75%2A%28+1%2F2+%29%5E.19231+
+A+=+75%2A.8752+
+A+=+65.64+
65.64 grams will be left after 1 year
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check:
+A+=+75%2A%28+1%2F2+%29%5E.19231+
+65.64+=+75%2A%28+1%2F2+%29%5E.19231+
+.8752+=+%28+.5+%29%5E.19231+
+.8752+=+.8752+
OK