Final answer:
To determine the best financing option for the Mustang convertible, calculations for both scenarios—a lower APR without cash back, and a higher APR with cash back—are required. The monthly payments must be computed for $27,000 at 4.1% APR, and for $26,000 at 6.1% APR. The better option will be the one with the lower monthly payment.
Step-by-step explanation:
To answer the student's questions regarding the monthly payments and the best financing option for buying a premium Mustang convertible, two calculations will be necessary. One for each financing scenario described: with the lower interest rate without cash back, and with the higher interest rate with a cash back incentive.
For part a, assuming an APR of 4.1% for 48 months on a loan amount of $27,000, Suzie's monthly payment can be found using the loan payment formula and then rounding to the nearest cent.
For part b, if Suzie chooses the $1,000 cash back and borrows $26,000 from VTech Credit Union at 6.1% APR for 48 months, her monthly payment would again be calculated using the loan payment formula.
For part c, to determine which option Suzie should choose, we need to compare the monthly payments calculated for each scenario. If the monthly payment with the low interest rate is less than the monthly payment with the cash back, Suzie should go for the low interest rate. Conversely, if the cash back option results in lower monthly payments, that would be the better choice.