Alexander Industries just had a very profitable year. The owner has decided to invest $$225,000$ of the profits in a venture that pays an $8\%$ rate of return for fifteen years. How much more would the investment have been worth if the owner could have made $9\%$ on this investment?

Multiple Choice

$$211,641\mathrm{.}00$

$$819,558\mathrm{.}55$

$$52,910\mathrm{.}25$

$$105,820\mathrm{.}50$

$$713,738\mathrm{.}05$