Richard owns two investments, A and B$,$ that have a combined total value of $$32,200\mathrm{.}00.$ Investment A is expected to pay $$24,800\mathrm{.}00$ in $3$ years from today and has an expected return of $12\mathrm{.}39$ percent per year. Investment B is expected to pay $$28,500\mathrm{.}00$ in T years from today and has an expected return of $8\mathrm{.}83$ percent per year. What is T$,$ the number of years from today that investment B is expected to pay $$28,500\mathrm{.}00?$

$5\mathrm{.}96$ years $($plus or minus $10$ days$)$

$7\mathrm{.}80$ years $($plus or minus $10$ days$)$

$5\mathrm{.}65$ years $($plus or minus $10$ days$)$

$4\mathrm{.}14$ years $($plus or minus $10$ days$)$

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