Olga owns two investments, A and B$,$ that have a combined total value of $$28,500\mathrm{.}00.$ Investment A is expected to pay $$26,560\mathrm{.}00$ in $3$ years from today and has an expected return of $12\mathrm{.}32$ percent per year. Investment B is expected to pay $$17,158\mathrm{.}82$ in $7$ years from today and has an expected return of R per year. What is $R,$ the expected annual return for investment $B?$

$9\mathrm{.}87\%($plus or minus $10bps)$

$8\mathrm{.}40\%($plus or minus $10bps)$

$6\mathrm{.}30\%($plus or minus $10bps)$

$7\mathrm{.}31\%($plus or minus $10bps)$

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