$($Related to Checkpoint $6\mathrm{.}6)($Present value of annuities and complex cash flows$)$ You are given three investment alternatives to analyze. The cash flows from these three investments are

as follows:

a$.$ What is the present value of investment A at an annual discount rate of $19$ percent?

I $($Round to the nearest cent.$)$

b$.$ What is the present value of investment $B$ at an annual discount rate of $19$ percent?

$$,($Round to the nearest cent.$)$

c$.$ What is the present value of investment C at an annual discount rate of $19$ percent?

$ $($Round to the nearest cent.$)$