mmm

The Problem Statement

This rendition of MMM has two problems for double the fun. You must answer both correctly to be elgible for the prize! Good luck!

Problem #1: A ball is dropped from a height of 64 meters. The ball always travels half as high as it did on the previous bounce. How many vertical meters has the ball traveled when it touches the floor for the third time?

Problem #2: In a city grocery store, all the oranges are stacked in a triangular pyramid.
Each layer of oranges is in the shape of an equilateral triangle and the top layer is a single orange. How many oranges are in a stack that is ten layers high?

The Prize

The winner will receive a 10 dollar gift certificate to Amazon.com!

The Rules

  1. Email your answers to mondaymathmadness at gmail dot com.

  2. Depending on how many submissions we receive, we will be giving out additional prizes, giving you yet more chances to win. We’d also like to give a prize out to the “best” or “most creative” answer.

  3. Inelgible for any one person to win more than once per year. But you should still submit your answer!

  4. Answer must be explained. You must show your work! We will accept answers in the form of a MATLAB script as well. We will be the final judge on whether an answer was properly explained or not.

  5. The deadline to submit answers is November 3rd 2008, Monday 11:59 PM Pacific Standard Time

  6. The winners will be chosen randomly from all the submittals using a random number generator.

  7. The winner will be announced at 9:00 AM PST November 7th, 2008.

  8. Comments for this post should only be used to clarify the problem. Please do not discuss ANY potential solutions.

  9. Please spread the word about our contest by stumbling this webpage!