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These are questions from applied calc 2. If someone could help that would be great. Thanks. A retiree is paid $1800 per month by an

These are questions from applied calc 2. If someone could help that would be great. Thanks.

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A retiree is paid $1800 per month by an annuity. If the income is invested in an account that earns 7% interest compounded continuously, what is the future value of the income after ten years? (Round your answer to two decimal places.) $ Need Help? i i An heiress receives an income stream from a will at a rate of f(t) = 20,000e0-027t dollars per year. She invests this income and earns 4.9% interest (compounded continuously). (Round your answers to two decimal places.) (a) What is the future value of the income alter ten years? $ l (b) Compute the present value of the income over a ten year period. $ Need Help? i i The winner of a lottery is awarded $4,000,000 to be paid in annual installments of $200,000 for 20 years. Alternatively, the winner can accept a "cash value" one-time payment of $1,800,000. The winner estimates he can earn 8% annually on the winnings. What is the present value of the installment plan? (Round your answer to two decimal places.) $ Should he choose the one-time payment instead? Q Yes, he should choose the one-time payment. 0 No, he should not choose the one-time payment. Need Help

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