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An eighteen year old receives an annuity on her birthday from her great uncle's estate paying 3,000 on her nineteenth birthday and subsequent payments that increase by $500 per year until age thirty-five. Find the value of the annuity on her eighteenth birthday assuming an interest rate of 7.25% compounded monthly.

(A) 53,352

(B) 55,241

(C) 58,071

(D) 59,299

(E) 62,789

Financial Management, Finance

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