You have just made an offer on a new home and are seeking a mortgage. You need to borrow $$$$582$ comma $000582,000.$

a$.$ The bank offers a $2525-$year mortgage with fixed monthly payments and an interest rate of $0\mathrm{.}55\%0\mathrm{.}55\%$ per month. What is the amount of your monthly payment if you take this$$ loan?

b$.$ Suppose you take the $2525-$year mortgage described in part $($a$).$ How much will you still owe on the mortgage after $1010$years$?$

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Part $1$

a$.$ The bank offers a $2525-$year mortgage with fixed monthly payments and an interest rate of $0\mathrm{.}55\%0\mathrm{.}55\%$ per month. What is the amount of your monthly payment if you take this$$ loan?

If you take the $2525-$year mortgage with an interest rate of $0\mathrm{.}55\%0\mathrm{.}55\%$ per$$ month, your monthly payment will be $$$enter your response here. $($