SOLUTION: A sample of 400 grams of radioactive sustance decays according to the function A(t) = 400e negative.032t, where t is the time in years. How much of the substance will be left in t

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: A sample of 400 grams of radioactive sustance decays according to the function A(t) = 400e negative.032t, where t is the time in years. How much of the substance will be left in t      Log On


   

Question 314180: A sample of 400 grams of radioactive sustance decays according to the function A(t) = 400e negative.032t, where t is the time in years. How much of the substance will be left in the sample after 10 years?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A sample of 400 grams of radioactive sustance decays according to the function A(t) = 400e negative.032t, where t is the time in years. How much of the substance will be left in the sample after 10 years?
.
Given
+A%28t%29+=+400e%5E%28-.032t%29+
Simply plug in the 10:
+A%28t%29+=+400e%5E%28-.032%2A10%29+
+A%28t%29+=+400e%5E%28-.32%29+
+A%28t%29+=+400%28.7261%29+
+A%28t%29+=+290.460+ grams