Tanya Tomkins earns $$58,000$ annually, with raises of $2\mathrm{.}5$ percent each year. She is $30$ years old and plans to retire when she is $65.$ She also hopes to receive a promotion in $5$ years that will raise her salary by $15$ perecent at the time of the promotion.

Tanya is considering going to school next year to pursue a graduate degree. She will not earn anything over the two years it takes to earn the degree and in fact will have to pay tuition of $$15,000$ a year. When she graduates she hopes to see an increase in her salary to $$70000$ a year and to receive raises of $3$ percent annually.

If Tanya believes $7$ percent is a reasonable rate of return, should she go to school to pursue the graduate degree? Explain fully with all supporting calculations clearly presented in Excel and using Excel functions whenever possible.