If $f(x)=\sqrt[3]{x+2}-6,$ the find $f^{-1}(x).$

Find the balance of an account with a starting amount of $$600$ that is compounded continuously at $6\mathrm{.}3\%$ for $4$ years. $(3$ pts$)$

If $$2400$ is invested at a rate of $9\%$ compounded monthly, how many years will it take to have a balance of $$3600?$ Round to the nearest tenth of a year. $($$ pts$)$