Suzanne has purchased a car with a list price of $23,860. She traded in her previous car, which was a Dodge in good condition, and financed the rest of the cost for five years at a rate of 11.62%, compounded monthly. The dealer gave her 85% of the listed trade-in price for her car. She was also responsible for 8.11% sales tax on the difference between the list price and trade in price, a $1,695 vehicle registration fee, and a $228 documentation fee. If Suzanne makes a monthly payment of $455.96, what was the trade in price of her original car?

Given that Suzanne has purchased a car with a list price of $23,860, and she traded in her previous car, which was a Dodge in good condition, and financed the rest of the cost for five years at a rate of 11.62%, compounded monthly, and the dealer gave her 85% of the listed trade-in price for her car, and she was also responsible for 8.11% sales tax on the difference between the list price and trade in price, a $1,695 vehicle registration fee, and a $228 documentation fee, if Suzanne makes a monthly payment of $455.96, to determine what was the trade in price of her original car, the following calculation must be made:

455.96 x 12 x 5 = 27,357.60
X x (1 + 0.1162/12)^(12x5) = 27,357.60
X x 1.009683^60 = 27,357.60
1.7828X = 27,357.60
X = 27,357.60 / 1.7828
X = 15,345
23,860 - 15,345 + (0.0811 x (23,860 - 15,345)) + 1695 + 228 = X
23,860 - 15,345 + 690.57 + 1695 + 228 = X
11,128.57 = X

Therefore, the trade in price of her original car was $11,128.57.

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