You invest an amount of $$20,000$ in account A that pays simple interest at a rate of $9\mathrm{.}58$ percent per year. You also invest the same amount in account B that pays compound interest. What is the difference in the amounts of money in the two accounts after $23$ years?

None of these options are correct

$$144,002\mathrm{.}25$

$$64,068\mathrm{.}00$

$$164,002\mathrm{.}25$

$$99,934\mathrm{.}25$