If an investment of $$30,000$ is earning an interest rate of $8\mathrm{.}00\%,$ compounded annually, then it will take for this investment to reach

a value of $$37,791\mathrm{.}36-$assuming that no additional deposits or withdrawals are made during this time.

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

An investment of $$50$ at an annual rate of $5\%$ will return a higher value in five years than $$25$ invested at an annual rate of $10\%$ in the same time.

An investment of $$25$ at an annual rate of $10\%$ will return a higher value in five years than $$50$ invested at an annual rate of $5\%$ in the same time.