I NEED THE ACTUAL STEPS AND FORMULAS,thanks

$5-30$ REACHING A FINANCIAL GOAL Allison and Leslie, who are twins, just received $$10,000$ each for their $25$th birthday. They both have aspirations to become millionaires. Each plans to make a $$5,000$ annual contribution to her "early retirement fund" on her birthday, beginning a year from today. Allison opened an account with the Safety First Bond Fund, a mutual fund that invests in high$-$quality bonds whose investors have earned. $8\%$ per year in the past. Leslie invested in the New Issue Bio$-$Tech Fund, which invests in small, newly issued bio$-$tech stocks and whose investors have earned an average of $13\%$ per year in the fund's relatively short history.

a$.$ If the two women's funds earn the same returns in the future as in the past, how old will each be when she becomes a millionaire?

Answer:

$A=59\mathrm{.}89yrs$;$L=50\mathrm{.}08yrs$

b$.$ How large would Allison's annual contributions have to be for her to become a millionaire at the same age as Leslie, assuming their expected returnsare realized?

Answer:

$$12,649.$