You want to retire at age $65,$ you begin your investment program at $25$ with a one time deposit of $$10,000$ in a traditional IRA. On this investment you can earn $12\%$ in the Vanguard $2055$ retirement fund. At age $35$ you come into an inheritance of $$15,500$ of which you decide to put into a Roth IRA, using a Fidelity index fund which you anticipate will yield $10\%$ until $65.$ At $45$ you remember taking Elliott's class and listening to Bryan Washburn and Mark Russell and you realize that you have $$14,000$ extra saved for retirement. To be super safe you invest this sum in another Roth IRA which you will receive a $7\%$ return. At $65$ you want to retire at $$120,000,$ gross a year for $30$ years, $($you need this much because you didn't factor in Inflation, $($Elliott was too nice and didn't want you be depressed$)$ and you anticipate you can earn $4\%$ on the payout or annuity, not perpetuity. With all of this information, and it is not too much info $())$ how much will you need to invest each year at $10\%,$ beginning at $25$ to $65,$ using a mutual, traditional IRA account to achieve your retirement goal of $$120,000$ gross for $30$ years? $(3$ points$),$ part $A.($this must mean that you were still short of funds from the other investments$)$ The second part: $($Part B$)$ remember Bryan Washburn and Mark Russell indicated we are looking for tax$-$free income at retirement, and thus, you are the $25\%$ tax bracket at retirement, how much will you net each year in retirement, after taxes? $(3$ points$),($Part B$.)$

Part A$.($Traditional IRA $25$ to $65,).....3$ points.

Part B$-q,($After tax income$)......3$ points. $($please remember that the traditional IRA portion of your total funds is taxable at $25\%.)$