step by step please

A lottery winner was offered a payment of $31,700 for 30 years or a lum-5um payment of 500,000 . She could invest the cash flows at 4.5 percent. What should she do? She should take the annuity because it is valued at $516,358 She should take the lump-5um because its value is more 450.000 She should take the annuity because it is valued at $500,00 She should take the lump-rum because it is valued at $500.00