Question $2\mathrm{.}4$

Starting today, Sandy sets aside $$10,000$ at the beginning of each year into a bank account that pays an annual effective interest rate of $5\mathrm{.}5\%.$ She makes $25$ such deposits. Thirty years from today, Sandy uses the accumulated value in the account to purchase an annuity that pays $$x$ at the beginning of each year for $25$ years. Determine $x.$