SOLUTION: I have been at this (and others) for hours and I don't know how to solve this...please help... A substance's mass grows exponentially at a 4% hourly rate. If the initial quantit

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Question 769065: I have been at this (and others) for hours and I don't know how to solve this...please help...
A substance's mass grows exponentially at a 4% hourly rate. If the initial quantity has a mass of 100 grams, what will be the mass after 10 hours?

Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
Trying to make this as simple as possible, starting with m grams, rate of growth is r in its decimal fraction form, in the first hour, the mass becomes:

In 2 hours,---------
In 3 hours, --------
..
In x hours, --------

Use that pattern. Your example uses m=100 and r=0.04 and x=10.
Mass after 10 hours will be grams.
grams.


You could use log table if desired and then find antilog of the result.



Most people these days use scientific calculators, so you're looking for .

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