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You want to buy a house that costs $$350,000.$ You will make a down payment equal to $20$ percent of the price of the house and finance the remainder with a loan that has an interest rate of $5\mathrm{.}00$ percent compounded monthly. If the loan is for $30$ years, what are your monthly mortgage payments? $($Do not round intermediate calculations. Round your final answer to two decimal places i$.$e$.1234\mathrm{.}56.$ Input your answer as a positive value. Do not input a dollar sign with your answer.$)$

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