If a security currently worth $$9,200$ will be worth $$15,767\mathrm{.}18$ seven years in the future, what is the implied interest rate the investor will earn on the security$$assuming that no additional deposits or withdrawals are made?

$1\mathrm{.}71\%$

$5\mathrm{.}83\%$

$6\mathrm{.}40\%$

$8\mathrm{.}00\%$

If an investment of $$50,000$ is earning an interest rate of $8\mathrm{.}00\%,$ compounded annually, then it will take for this investment to reach a value of $$89,052\mathrm{.}92$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 $$25$ at an annual rate of $10\%$ will return a higher value in five years than $$50$ invested at an annual rate of $5\%$ in the same time.

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.