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Source: Veritas Prep
A certain car depreciates such that its value at the end of each year is \(p\)% less than its value at the end of the previous year. If that car was worth \(a\) dollars on December 31,010 and was worth \(b\) dollars on December 31, 2011, what was the car worth on December 31, 2013 in terms of \(a\) and \(b\)?
A. \(\frac{b^3}{a^2}\)
B. \(\frac{b^2}{a}\)
C. \(\frac{b\sqrt{b}}{a}\)
D. \(\frac{b^2\sqrt{b}}{a^2}\)
E. \(\frac{b^2-a}{a}\)
The OA is A
A certain car depreciates such that its value at the end of each year is \(p\)% less than its value at the end of the previous year. If that car was worth \(a\) dollars on December 31,010 and was worth \(b\) dollars on December 31, 2011, what was the car worth on December 31, 2013 in terms of \(a\) and \(b\)?
A. \(\frac{b^3}{a^2}\)
B. \(\frac{b^2}{a}\)
C. \(\frac{b\sqrt{b}}{a}\)
D. \(\frac{b^2\sqrt{b}}{a^2}\)
E. \(\frac{b^2-a}{a}\)
The OA is A
