The return on a riskless asset is $\mathrm{.}005$ and an index fund has an expected return of $\mathrm{.}075$ and a standard deviation of $\mathrm{.}05.$ If you want a portfolio with a standard deviation of $\mathrm{.}04,$ how much of your money will you invest in each of the two assets? What will be your portfolio's expected return?