At the age of $25,$ Tasha Fellows obtained her university degree and entered the workforce. She sought the opinion of an investment advisor regarding a tax$-$free savings account $($TFSA$).$ The main recommendations were to start investing early, to invest the maximum allowed each year, and to stay invested. Someone starting a career needs to consider investing as early as possible.The advisor provided Tasha with scenarios of investing $$100$ per month at $2\%$ return at different age ranges and calculated the value of her investment at age $65.$Age StartedTotal Amount Contributed to Age $65$Total Value of TFSA at Age $6525$$$48000$$$7356635$$$36000$$$4935545$$$24000$$$29529$Source: TFSA Calculator, Bank of Montreal site, www$.$bmo.com, accessed November $3,2018.$Tasha was shown that starting to contribute at a later age but still wanting to reach a goal of $$73566$ would require larger monthly contributions.Age StartedMonthly Contributions$35$$$15045$$$250$Source: TFSA Calculator, Bank of Montreal site, www$.$bmo.com, accessed November $3,2018\mathrm{.}2.$ To reach a goal of $$73566,$what is the total amount ofcontributions necessary if Tasha were to begin in$-$vesting at age $45?$