$6.$ What is the present value of a $8-$year ordinary annuity with annual payments of $$476,$ evaluated at a $12$ 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

$1$ $$13,000$

$219,000$

$319,000$

$429,000$

The discount rate is $7$ percent. What is the investment$$s present value? Round your answer to $2$ decimal places; for example $2345\mathrm{.}25.$

$8.$ Michael wants to have $$59,000$ in $8$ years on a savings plan that requires monthly contributions. If he can earn $5$ percent APR with monthly compounding on the savings plan, what is the amount that he will have to invest every month for the next $8$ years? Round it to two decimal places and do not include the $ sign, e$.$g$.,1234\mathrm{.}56.$