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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
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You're calculating the aug separately and then tacking it on, this is incorrect.
While you're accounting for the compounding growth with this expression (1500 * 1.05 ** 15), you're not factoring in the impact of aug on the compounding percentage growth.