$6.$ I borrow $$85,000$

at an interest rate of $8\mathrm{.}00\%$ APR compounded continuously

with monthly payments of $$1,000\mathrm{.}00$

$3\mathrm{.}00$ years from now I

re$-$finance the remaining balance @ $6\mathrm{.}00\%$ APR compounded quarterly

with the same monthly payments. How long would it take from the original loan date $($months$)$

to pay the loan down to a balance of $$10,000\mathrm{.}00?$