Some years ago, James purchased two rare Pokeman cards, costing $$1,000$ then. Today, the cards are valued at $$590.$ How long has he owned the cards if the price of the cards has been decreasing by $10\%$ per year?

$4\mathrm{.}1$ years

$5\mathrm{.}0$ years

$5\mathrm{.}5$ years

$5\mathrm{.}9$ years

none of the above