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Your grandmother bought an annuity from Great-West Life Insurance Company for $474,213 when she retired. In exchange for the $474,213, Great-West will pay her $45,000

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Your grandmother bought an annuity from Great-West Life Insurance Company for $474,213 when she retired. In exchange for the $474,213, Great-West will pay her $45,000 per year until she dies. The interest rate is 3%. How long must she live after the day she retired to come out ahead (that is, to get more in value than what she paid in)? She must live at least years. (Round up to the nearest whole year.)

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