$5.$ You are negotiating to buy a new car with a car salesman at a local dealer. You have negotiated the price to $$28,000.$ You have $$3,000$ to put towards the down payment and plan to get a loan for the rest. If you can get an annual interest rate of $5$ percent APR $($with monthly compounding$)$ over a $5-$year period, what would be your monthly payment? Round it to two decimal place $($cents$),$ e$.$g$.,234\mathrm{.}56.$

$6.$ What is the present value of a $8-$year ordinary annuity with annual payments of $$512,$ evaluated at a $9$ percent interest rate? Round your answer to $2$ decimal places; for example $2345\mathrm{.}25.$

$7.$ A real estate investment has the following expected cash flows:

Year Cash Flows

$1$ $$14,000$

$211,000$

$322,000$

$427,000$

The discount rate is $11$ percent. What is the investment$$s present value? Round your answer to $2$ decimal places; for example $2345\mathrm{.}25.$