You are the lucky winner of a $$40$ million state lottery. You will get

your prize money in $20$ annual payments of $$2$ million per year

$($payments starting today$).$ If the appropriate discount rate is $8\%$

and there is annual compounding, which of the equations below

correctly reflects the present value of the $20$ payments?

Answer A: $(20)(2$ million$)$

Answer B: $\frac{40}{(1\mathrm{.}05{)}^{20}}$

Answer C: $\frac{40}{(1\mathrm{.}08{)}^{19}}+1$

Answer D: $(2)\frac{1}{\mathrm{.}08}-\frac{1}{\mathrm{.}08(1\mathrm{.}08{)}^{35}}$

Answer E: $(2)[\frac{1}{\mathrm{.}08}-\frac{1}{\mathrm{.}08(1\mathrm{.}08{)}^{17}}]+2$

Answer F: $(2)[\frac{1}{\mathrm{.}08}-\frac{1}{\mathrm{.}08(1\mathrm{.}08{)}^{35}}]+2$

Answer C

Answer F

Answer E

Answer B

Answer A

Answer D