At age $40,$ Nathan purchased an annuity from an insurance company for $$241,920.$ According to the terms of the contract, Nathan will receive $$3,000$ per month for life beginning at age $66.$ Show all calculations using good form. Required: $1.$ Assume that Nathan did not make any withdrawals before he reached age $66.$ Nathan begins receiving monthly annuity payments on $9/1/2024,$ the date he turns age $66.$ How much gross income does Nathan recognize in $2024?2.$ Assume that Nathan lives $23$ years after the annuity start date. How much gross income does Nathan recognize in the $21$st year? $3.$ Assume that Nathan turned age $66$ on $9/1/2014.$ Further, assume that Nathan dies on $8/31/2024$ after collecting monthly annuity payments for exactly $10$ years. Pertaining to the annuity contract, answer the following: a$)$ How much is Nathan$$s deduction on his $2024$ income tax return? b$)$ How much is included in gross income on Nathan$$s $2024$ income tax return?