SOLUTION: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 8% per day. A sample of this radioactive substance has an initial m

Question 930791: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 8% per day. A sample of this radioactive substance has an initial mass of 2.01 kg Find the mass of the sample after two days. Round your answer to two decimal places.Note: This is a continuous exponential decay model.And though the decay rate parameter is 8%per day, the actual decay is not 8% each day.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Either this is exponential decay at 8% loss per day or it is not. You need to know or decide which it is.

Start with if this is the kind of model wanted. The variables are
A, amount after passage of time t
p, initial amount when t=0
t, time passage in days
e, base for the Natural Logarithm
k, a constant

First, find the value for k using your 8% loss per day.
For t=1, p=1, A=0.8.

Substitute the known or given values and evaluate k.

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The model for your example is , or using your given initial quantity of material, .
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