There is a $$750,000$ foreclosed home for sale in your neighborhood. You have been pre$-$qualified for a one$-$year loan at $8\mathrm{.}25\%$ interest to cover the full purchase price and anticipate it will take $$72,500$ to pay off an existing lien. You also know that you will need to invest $$10,000$ a month in the house for repairs. You know enough about the market to ascertain that this property will sell for $$1,025,500$ in one year. If you want at least a $13\%$ return on your investment, should you make the purchase? Show all work please!!