Use synthetic division to solve
1 answer:
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Answer:
The monthly payment is $262.95
Step-by-step explanation:
* Lets explain how to solve the problem
- Omar has decided to purchase an $11,000 car
- He plans on putting 20% down toward the purchase
* Lets find the value of the 20%
∵ The principal value is $11000
∴ the value of the 20% = 20/100 × 11000 = 2200
∴ He will put $2200 down
* Lets find the balance to be paid off on installments
∴ The balance = 11000 - 2200 = 8800
- He financing the rest at 4.8% interest rate for 3 years
* Lets find the rule of the monthly payment
∵ , where
- pmt is the monthly payment
- P = the investment amount
- r = the annual interest rate (decimal)
- n = the number of times that interest is compounded per unit t
- t = the time the money is invested or borrowed for
∵ P = 8800
∵ r = 4.8/100 = 0.048
∵ n = 12
∵ t = 3
∴
∴
* The monthly payment is $262.95