I need help with finite math

timer Asked: May 2nd, 2016

Question description

Inverse mutual funds, sometimes referred to as "bear market" or "short" funds, are designed to deliver the opposite of the performance of the index or category they track, and so can be 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 $9,000 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 $540. How much did you invest in each of the three funds? 

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