Question

Joker goes wild and Egg scrambles for 1,000 decks of cards! Again, using 10 cards on the top level and 12% (r = 1.12) more cards on each level below, how many levels will this third and final card house have, if you use a total of 52,000 cards (round your answer to the nearest integer)?!

Answer 1

ANSWER::

This is analogous to a compound interest problem where, initial amount is 10, final amount is 52000 and rate of interest is 1.12% which is calculated yearly (as the rate increases once per level). So, n=1

Now finding time (t) for this question is similar to finding the number of levels in our problem.

Using compund interest formula, we get;

So, 768 levels were made.

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