Financial Math,

Question one: Jacob purchased an annuity that had an interest rate of $4\mathrm{.}25\%$ compounded semi$-$annually. It provided her with payments of $$1,000$ at the end of every month for $6$ years. If the first withdrawal is to be made in $3$ years and $1$ month, how much did she pay for it$?$

question two: Evan invested her savings in a bank at $2\mathrm{.}75\%$ compounded quarterly. How much money did she invest to enable withdrawals of $$4,000$ at the beginning of every $6$ months from the investment for $6$ years, if the first withdrawal is to be made in $8$ years?