Show me the steps to solv$6.$ Sally has won the grand prize in a lottery and must choose between the following three options:

a$.$ Receive a lump sum payment of $$10,000,000$

b$.$ Receive annual end of the year payments of $$2,000,000$ for the next $8$ years

c$.$ Receive annual end of the year payments of $$1,500,000$ for the next $20$ years.

Which option should sally choose based on an annual investment rate of $65?$e