Consider a $20,000 loan over 10-years with loan rate i(2) a) [2pt] Suppose the at the end of every 6-months $1000 of principal is repaid and interest is paid on the outstanding loan balance. If the total paid over the life of the loan is $30,500 find the loan rate i(2). b) [2pt] If instead the loan is repaid with level end of month payments, what would be the total amount paid over the life of the loan. Use the interest rate from part (a). Don't round the monthly payment. c) [2pt] Find the outstanding loan balance at the end of the first year for parts (a) and (b)