# Used by traders to bet against the stock market the

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used by traders to bet against the stock market. The following table shows the performance of three such funds as of August 12, 2011. Year-to-Date Loss SHPIX (Short Smallcap Profund) 6% RYURX (Rydex Inverse S&P 500) 5% RYIHX (Rydex Inverse High Yield) 7% You invested a total of \$12,000 in the three funds at the beginning of 2011, including an equal amount in SHPIX and RYURX. Your total year-to-date loss amounted to \$720 . How much did you invest in each of the three funds?
RYURX \$ 4000 RYIHX \$ 4000 8. 1/1 points | Previous AnswersWaneFM6 4.3.063. Ask Your Teacher My Notes Matrices are commonly used to encrypt data. Here is a simple form such an encryption can take. First, we represent each letter in the alphabet by a number, so let us take < space > = 0, A = 1, B = 2, and so on. Thus, for example, "ABORT MISSION" becomes [1 2 15 18 20 0 13 9 19 19 9 15 14]. To encrypt this coded phrase, we use an invertible matrix of any size with integer entries. For instance, let us take A to be the 2 × 2 matrix 2 4 1 3 . We can first arrange the coded sequence of numbers in the form of a matrix with two rows (using zero in the last place if we have an odd number of characters) and then multiply on the left by A . Encrypted Matrix = 2 4 1 3 1 15 20 13 19 9 14 2 18 0 9 19 15 0 = 10 102 40 62 114 78 28 7 69 20 40 76 54 14 , which we can also write as [ 10 7 102 69 40 20 62 40 114 76 78 54 28 14 ]. To decipher the encoded message, multiply the encrypted matrix by A −1 . The following exercise uses the above matrix A for encoding and decoding. Use the matrix A to encode the phrase "GO TO PLAN B". 74 5 2 8 0 6
0 3 0 1 5 8 0 5 2 5 8 4 3 8 6 9. 1/1 points | Previous AnswersWaneFM6 4.3.065.