Lori, age $22,$ earns $$50,000$ per year and she invests $6\%$ of her salary, $$3,000$ annually, through her employer sponsored $401($k$)$ retirement account. Because her employer also contributes $$0\mathrm{.}50$ for every dollar she contributes, Lori is saving $$4,500$ each year $($$$3,000+$ $$1,500).$ Even if she never increases her $401($k$)$ contributions, how much money will she have in the account after $40$ years if she earns an $8\%$ annual return? $($assume no pay increases for simplicity$)--***$ Hint: use Appendix A$-3$ in text.