If $$25,000$ is deposited now to an account earning an interest of $15\%$ per year,what will be the value of X so that the withdrawal pattern shown below willzero out the account at the end of year $6?$End$-$of$-$year, $1,2,3,4,5,6$Amount $($P$),$ X$,$ X$(1\mathrm{.}08),$ X$(1\mathrm{.}08)^2,$ X$(1\mathrm{.}08)^3,$ X$(1\mathrm{.}08)^4,$ X$(1\mathrm{.}08)^5$ANS: $5,574\mathrm{.}13$ show solution