$1.$ If a nurse deposits $$46,000$ today in a mutual fund that is expected to grow at a compounded annual rate of $8$ percent, what will be the value of this investment:

a$.3$ years from now?

b$.6$ years from now?

c$.9$ years from now?

d$.12$ years from now?

$2.$ The chief financial officer of a home health agency needs to determine the present value of a $$220,000$ investment received at the end of year $20.$ What is the present value if the discount rate is:

a$.4$ percent?

b$.6$ percent?

c$.8$ percent?

d$.10$ percent?

$3.$ After completing his residency, an oncologist plans to invest $$40,000$ per year at the end of each year into a high$-$risk retirement account. He expects to earn $7$ percent for $35$ years. What will his retirement account be worth at the end of those $35$ years?