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Your grandmother bought an annuity from Rock Solid Life Insurance Company for $430,000 when she retired. In exchange for the $430,000, Rock Solid will pay

Your grandmother bought an annuity from Rock Solid Life Insurance Company for $430,000 when she retired. In exchange for the $430,000, Rock Solid will pay her $35,000 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)?

Please show working out and formula. Please don't use excel

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