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Jill plans to retire in 15 years. She hopes to be able to purchase an annuity...

Jill plans to retire in 15 years. She hopes to be able to purchase an annuity from an insurance company that will pay her $3,000 per month for 25 years during retirement. To this date she has saved $36,578. If she can earn 5 percent on her investments, how much would she have to invest each month for the next 15 years? (Assume the insurance company does not charge any fees.)

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