April segal and her sister obtained a 25 year , $120,000 loan for their new home. the interest rate is 7.5 percent and their monthly payment is $886. how much of the first payment is for principal

So this is creating what is called an amortization table.

For this you will need 5 columns:

Beginning Principal     Payment    Interest Pd.    Principal Pd.      New Principal    120,000                           886               750 .                    136               119,864

119,864                              886 .              749.15 .           136.85 .          119,727.15

To figure the interest paid for each payment you take the Interest Rate (7.5%) and divide that by 12 (the number of months in a year), You then take that rate and multiply by the beginning principal amount. This will tell you how much of your payment went to interest for that month.

For Principal paid, you take the total payment amount and subtract the interest paid you calculated in the previous step. This will tell you how much of your payment went to the principal on your loan.

For the new principal, you take the beginning principal and subtract the principal paid. This then becomes your beginning principal on the next line as well.

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answer/// sequence of operations that requires the longest time for completion';