Investing: Inverse ETFs $($Exchange Traded Funds$)$ Inverse ETFs, 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 $5,2015.$

You invested a total of $$9,000$ in the three funds at the beginning of $2011,$ including an equal amount in SH and REW. Your year$-$to$-$date loss from the first two

funds amounted to $$400.$ How much did you invest in each of the three funds?