$67.$ What is the discount factor for $$1$ to be received in $5$ years at a discount rate of $8\%?$

A$.\mathrm{.}4693$

B$.\mathrm{.}5500$

C$.\mathrm{.}6000$

D$.\mathrm{.}6806$

$68.$ What is the annually compounded rate of interest on an account with an APR of $10\%$ and

monthly compounding?

A$.10\mathrm{.}00\%$

B$.10\mathrm{.}47\%$

C$.10\mathrm{.}52\%$

D$.11\mathrm{.}05\%$

$69.$ A car dealer offers payments of $$522\mathrm{.}59$ per month for $48$ months on a $$25,000$ car after

making a $$4,000$ down payment. What is the loan's APR?

A$.6\%$

B$.9\%$

C$.11\%$

D$.12\%$

please explain with formulas :)