SOLUTION: Find the associated exponential decay or growth model. Q = 1,800 when t = 0; half-life = 5

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Question 843241: Find the associated exponential decay or growth model.
Q = 1,800 when t = 0; half-life = 5

Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
Solve this generally for k: ;
Let t=5, A=(1/2)Q, , and find the formula this way for k.
Rewrite using the value you found for k.


Best if you follow that and do it.
I did not show you the specific steps. Do you need them?


SOLUTION WITH NEARLY ALL STEPS SHOWN--------------------------------
------Basic Model for Decay




The specific example has initial half life of 5 years, t=5 with , enough for finding the value of k.



But as a decimal number, this can be stated

The specific model equation based on given Q=1800 and the found value for k, becomes

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