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The answer to the question, "Where did the extra dollar come from?" can be found from consecutively adding the bank rest from three different days. This way is correct only if the money owner withdraws every day exact half of the money. Then it will add up. ($25 + $12.50 + $6.25) + $6.25 = $50
The Clay Institute has pledged a US $1 million prize for the first correct solution to each problem. The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP ...
For example, suppose the envelope can hold only three stamps, and the available stamp values are 1 cent, 2 cents, 5 cents, and 20 cents. Then the solution is 13 cents; since any smaller value can be obtained with at most three stamps (e.g. 4 = 2 + 2, 8 = 5 + 2 + 1, etc.), but to get 13 cents one must use at least four stamps.
When we recently wrote about the toughest math problems that have been solved, we mentioned one of the greatest achievements in 20th-century math: the solution to Fermat’s Last Theorem. Sir ...
Who says math can't be fun?! These math puzzles with answers are a delightful challenge. The post 30 Math Puzzles (with Answers) to Test Your Smarts appeared first on Reader's Digest.
The following is a dynamic programming implementation (with Python 3) which uses a matrix to keep track of the optimal solutions to sub-problems, and returns the minimum number of coins, or "Infinity" if there is no way to make change with the coins given. A second matrix may be used to obtain the set of coins for the optimal solution.
For example, the largest amount that cannot be obtained using only coins of 3 and 5 units is 7 units. The solution to this problem for a given set of coin denominations is called the Frobenius number of the set. The Frobenius number exists as long as the set of coin denominations is setwise coprime.
Of course, teaching by example is one of the surest ways to get kids to learn. Here are 10 money questions to challenge your basic knowledge about managing finances. Find an area you need to brush ...
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