A ​$257 comma 800 mortgage for 30 years for a new home isobtained at the rate of 7.8​% compounded monthly. Find​ (a) themonthly​ payment, (b) the interest in the first ​payment, (c) theprincipal repaid in the first​ payment, and​ (d) the financecharge. ​(a) The monthly payment on the mortgage is ​$ nothing.​(Round the final answer to two decimal places as needed. Round allintermediate values to six decimal places as​ needed.) ​(b) Theinterest in the first payment is ​$ nothing. ​(Round the finalanswer to two decimal places as needed. Round all intermediatevalues to six decimal places as​ needed.) ​(c) The principal repaidin the first payment is ​$ nothing. ​(Round the final answer to twodecimal places as needed. Round all intermediate values to sixdecimal places as​ needed.) ​(d) The finance charge is ​$nothing.
