You are considering investing in portfolio with a risk$-$free asset and a risky asset $($both assets must be in your portfolio$).$ The cash you currently have is $$50,000.$ If you want to have $$55,000$ dollars one year later, how much of that money should you invest in the risky asset? For this question, assume that the risky asset has a return of $18\%$ and a standard deviation of $10\%.$ The risk$-$free return is $3\%.$ Show your work!