You have your choice of two investment accounts. Investment A is a $12-$year annuity that features end$-$of$-$month $$1,750$ payments and has an interest rate of $8$ percent compounded monthly. Investment B is a $7\mathrm{.}5$ percent continuously compounded lump sum investment, also good for $12$ years.

How much money would you need to invest in B today for it to be worth as much as Investment A $12$ years from now?