up to his sister by the age of $60.$

$3.$ Marty and Anya's financial advisor is setting up a retirement income fund for them. When they turn $71,$ Marty and Anya will use their investments to draw a monthly income. They wish to be able to withdraw $$5000$ at the end of each month from this fund. Their investments currently earn $6\%$ per year, compounded monthly.

a$)$ If they want their savings to last for $24$ years $($until they turn $95),$ determine the amount they will need to have in the fund by the time they reach age $71.(3)$