After graduating from the University of Texas with a degree in Finance, Stan Morgan took a position as a stockbroker

with Morgan Stanley in Austin. Although he had several college loans to make payments on$,$ his goal was to set aside

funds for the next ten $(10)$ years to make a down payment on a house. After considering the various suburbs of Austin,

Stan chose Round Rock as his desired future residency. Based on median house price data, he learned that three$-$bedroom,

two$-$bath houses currently have a median price of $$445,000.$ To avoid paying Private Mortgage Insurance $($PMI$),$ Stan

wanted to make a down payment of $20\%$