A lottery offers a ($ 1,000,000) prize to be paid in 29 equal annual installments of ($

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A lottery offers a \(\$ 1,000,000\) prize to be paid in 29 equal annual installments of \(\$ 20,000\) with a 30th final payment of \(\$ 420,000\). What is the total value of this annuity if the current annual rate is \(2 \%\) ?

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