Celia owns two investments, A and B$,$ that have a combined total value of $$28,300\mathrm{.}00.$ Investment A is expected to pay $$26,310\mathrm{.}00$ in $3$ years from today and has an expected return of $12\mathrm{.}44$ percent per year. Investment B is expected to pay $$18,606\mathrm{.}98$ in $5$ years from today and has an expected return of R per year. What is R$,$ the expected annual return for investment B$?17\mathrm{.}41\%($plus or minus $10$bps$)13\mathrm{.}70\%($plus or minus $10$bps$)9\mathrm{.}68\%($plus or minus $10$bps$)11\mathrm{.}29\%($plus or minus $10$bps$)$ none of the answers are within $10$bps of the correct answer