Karim Soltan is shopping for a new vehicle, and has noticed that many vehicle manu-facturers are offering special deals to sell off the current year’s vehicles before the new models arrive. Karim’s local Ford dealership is advertising 3.9% financing for a full 48 months (i.e., 3.9% compounded monthly) or up to $4000 cash back on selected vehicles. The vehicle that Karim wants to purchase costs $24 600 including taxes, delivery, licence, and dealer preparation. This vehicle qualifies for $1800 cash back if Karim pays cash for the vehicle. Karim has a good credit rating and knows that he could arrange a vehicle loan at his bank for the full price of any vehicle he chooses. His other option is to take the dealer financing offered at 3.9% for 48 months. Karim wants to know which option requires the lower monthly payment. He knows he can use annuity formulas to calculate the monthly payment.QUESTIONS  Suppose Karim buys the vehicle on July 1. What monthly payment must Karim make if he chooses the dealer’s 3.9% financing option and pays off the loan over 48 months? (Assume he makes each monthly payment at the end of the month and his first payment is due on july 31

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Karim Soltan is shopping for a new vehicle, and has noticed that many vehicle manu-
facturers are offering special deals to sell off the current year’s vehicles before the new models
arrive. Karim’s local Ford dealership is advertising 3.9% financing for a full 48 months (i.e.,
3.9% compounded monthly) or up to $4000 cash back on selected vehicles.
The vehicle that Karim wants to purchase costs $24 600 including taxes, delivery, licence,
and dealer preparation. This vehicle qualifies for $1800 cash back if Karim pays cash for the
vehicle. Karim has a good credit rating and knows that he could arrange a vehicle loan at his
bank for the full price of any vehicle he chooses. His other option is to take the dealer financing
offered at 3.9% for 48 months.
Karim wants to know which option requires the lower monthly payment. He knows he can
use annuity formulas to calculate the monthly payment.
QUESTIONS
 Suppose Karim buys the vehicle on July 1. What monthly payment must Karim make if he
chooses the dealer’s 3.9% financing option and pays off the loan over 48 months? (Assume
he makes each monthly payment at the end of the month and his first payment is due on july 31

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