An investor purchased a parcel of land costing $$67,900.$ Today, that land is valued at $$64,800.$ How long has she owned this land if the price has been decreasing by $1\mathrm{.}5$ percent per year? $($Assume annual compounding.$)$ Nine years ago, you invested $$15,000.$ Today, it is worth $$23,097.$ What annual compounded rate of interest did you earn?

Multiple Choice

$4\mathrm{.}68\%$

$4\mathrm{.}91\%$

$\mathrm{.}02\%$

$5\mathrm{.}32\%$

$5\mathrm{.}26\%$

Multiple Choice

$3\mathrm{.}33$ years

$2\mathrm{.}48$ years

$3\mathrm{.}09$ years

$3\mathrm{.}57$ years

$2\mathrm{.}08$ years