SOLUTION: A scientist has 100 grams of a substance where half of it decays every hour. Write an equation to determine how long it takes until 25 grams are remaining

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Question 844689: A scientist has 100 grams of a substance where half of it decays every hour. Write an equation to determine how long it takes until 25 grams are remaining
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Q(t) = Q%5B0%5De%5E%28-kt+%29+
first find k
.5 = e%5E%28-k%2A1+%29+
ln(.5)/-1 = k = .6931
25 = 100e%5E%28-.6931t+%29+
.25 = e%5E%28-.6931t+%29+
ln%28.25%29%2F%28-.6931%29 = t