You bought a car for $$10,000$ with a $6-$month loan

and monthly payments at a quoted APR of $5\%$

with quarterly $($once every three months$)$ interest

compounding.

$$ Represent this scenario on a timeline.

$$ What is your principal payment for month $3?$

$$ What is your interest payment for month $4?$

$$ What is your principal remaining at the end of month $3?$

$$ Suppose you sell the car for $$7000$ at the end of month