Which of the following statements is true, assuming that no additional deposits or withdrawals are made?

$1.$If you invest $$5$ today at $15\%$ annual compound interest for $82\mathrm{.}3753$ years, you'll end up with approximately $$100,000.$

$2.$ If you invest $$1$ today at $15\%$ annual compound interest for $82\mathrm{.}3753$ years, you'll end up with approximately $$100,000.$