Use the formula for depreciation where $A$ is the current price, $A_0$ is the original price, $r$ is the depreciation rate and $t$ is the time in years:

$A=A_0{e}^{-rt}$

How long does it take for a new $$30,000$ car to depreciate to $$15,000$ if the depreciation rate is $6\%?$

Round answer to $2$ decimal places.

Select the correct response:

$13\mathrm{.}86$ years

$1\mathrm{.}37$ years

$1\mathrm{.}15$ years

$11\mathrm{.}55$ years