Theresa owns two investments, A and B$,$ that have a combined total value of $$27,100\mathrm{.}00.$ Investment $A$ is expected to pay $$22,180\mathrm{.}00$ in $4$ years from today and has an expected return of $12\mathrm{.}59$ percent per year. Investment $B$ is expected to pay $$25,414\mathrm{.}20$ in $6$ years from today and has an expected return of $R$ per year. What Is $R,$ the expected annual return for investment B$?$

$11\mathrm{.}40\%($plus or minus $10bps)$

$9\mathrm{.}84\%($plus or minus $10bps)$

$13\mathrm{.}83\%($plus or minus $10bps)$

$9\mathrm{.}70\%($plus or minus $10bps)$

none of the answers are within $10bps$ of the correct answer