QUESTION $5$

Five years ago, Steven invested $$5,890.$ In $1$ year from today, he expects to have $$9,800.$ If Steven expects to earn the same annual return after $1$ year from today as the annual rate implied from the past and expected values given in the problem, then in how many years from today does he expect to have exactly $$17,200?$

$6\mathrm{.}63$ years $($plus or minus $10$ days$)$

$5\mathrm{.}52$ years $($plus or minus $10$ days$)$

$7\mathrm{.}63$ years $($plus or minus $10$ days$)$

$6\mathrm{.}52$ years $($plus or minus $10$ days$)$

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