installment loan\nprincipal $2,550\nterm length 3 1/2 years\ninterest rate 9%\nmonthly payment $71\nhow much…

installment loan\nprincipal $2,550\nterm length 3 1/2 years\ninterest rate 9%\nmonthly payment $71\nhow much of the 40th payment will go to principal if there is an outstanding principal of $210?\ninterest on 40th payment = $1.58\nprincipal on 40th payment = $?\nround to the nearest hundredth.
Answer
Explanation:
Step1: Recall payment - principal relationship
The monthly payment is composed of interest and principal components. The formula is $Monthly\ Payment=Interest + Principal$.
Step2: Solve for principal
We know that the monthly payment is $71$ and the interest on the 40th payment is $1.58$. Rearranging the formula from Step 1 gives $Principal = Monthly\ Payment - Interest$. So, $Principal=71 - 1.58$. $Principal = 69.42$
Answer:
$69.42$