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Problem 9. For winning first prize in an essay contest, you are offered a choice of prizes: A. a single payment of P dollars now;

Problem 9. For winning first prize in an essay contest, you are offered a choice of prizes: A. a single payment of P dollars now; or

B. two payments: $300 one year from now and $400 two years from now.

To the nearest cent, what would P have to be in order for choices A and B to have equal value? Assume that all payments will be deposited as soon as they are received into an account paying 5% interest, compounded annually.

(A) $653.06 (B) $680.95 (C) $685.71 (D) $647.30 (E) $648.53 (F) $700.00

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