In order to start the business has found an investor who will put up $500,000.$ The owner wants to pay back the investor out of profits, using $30\%$ of the pre tax profits to pay the investor, and he has guranteed the investor he will get back $750,000.$

Question $1$: How long will it take to pay the investor $750,000$ if sales in year one are $$2$ million, and sales increase $13\%$ each year. $($Assume fixed expenses will increase each year at the rate of inflation or about $4\%)$ Show the calculations.