SOLUTION: Lupe made a down payment of $1800 toward the purchase of a new car. To pay the balance of the purchase price, she has secured a loan from her bank at the rate of 11%/year compounde

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Question 1103064: Lupe made a down payment of $1800 toward the purchase of a new car. To pay the balance of the purchase price, she has secured a loan from her bank at the rate of 11%/year compounded monthly. Under the terms of her finance agreement she is required to make payments of $210/month for 48 months. What is the cash price of the car? (Round your answer to the nearest cent.)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = the cash price of the car
Let +A+ = the cost of the loan
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The loan was done after the down payment
so the amount loaned was +C+-+1800+
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+A+=+210%2A48+=+10080+
Use the formula
+A+=+P%2A%28+1+%2B+r%2Fn+%29%5E%28n%2At%29+
+10080+=+%28+C+-+1800+%29%2A%28+1+%2B+.11%2F12+%29%5E%28+12%2A4+%29+
+10080+=+%28+C+-+1800+%29%2A1.009167%5E48+
+10080+=+%28+C+-+1800+%29%2A1.5496+
+C+-+1800+=+6504.9127+
+C+=+8304.91+
The cash price of the car was $8,304.91
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