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You currently have $$6,000.$ First United Bank will pay you an annual interest rate of $7\mathrm{.}1,$ while Second National Bank will pay you an annual interest rate of $8\mathrm{.}4.$ How many fewer years must you wait for your account value to grow to $$19,300$ at Second National Bank?

Multiple Choice

$2\mathrm{.}35$ years

$2\mathrm{.}87$ years

$2\mathrm{.}32$ years

$2\mathrm{.}55$ years

$3\mathrm{.}06$ years