On January $1,2024,$ Blossom issued $$4,100,000,4\%$ bonds. Interest is payable semi$-$annually on June $30$ and December $31.$ The bonds mature on January $1,2034.$ The bonds are sold to yield $12\%.$

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$($a$)$

Calculate the issue price of the bonds. $($Round factor values calculations to $5$ decimal places, e$.$g$.2\mathrm{.}55555$ and final answer to $0$ decimal places, e$.$g$.25,000.)$

Issue price of bond $

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$($b$)$

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