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A financial calculator is recommended.

Dax borrows $$200,000$ and the loan is governed by compound interest at an annual effective interest rate of $4\mathrm{.}5\%.$ Dax agrees to repay the loan by ten equally spaced payments, the first four of which are for $$22,000$ and the next six of which are for $$27,000.$ When should he make the first payment? $($Round your answer to three decimal places.$)$

He should make the first payment after $$ years.

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