A certain machine, which had an original value of $10,000 when purchased new, depreciated in value each year for 9 years. For each year after the machine was purchased, its value was at most 80 percent of its value the previous year. What was the maximum possible value,
in thousands of dollars, of the machine 9 years after it was purchased?
A. \((10*0.8)^8\)
B. \((10*0.8)^9\)
C. \(10(0.8)^8\)
D. \(10(0.8)^9\)
E. \(10(0.8)^{10}\)
To find the maximum possible value, let’s assume the value of the machine was exactly 80% of its value from the previous year, not less. Then, its value in 9 years would be $10,000 * 0.8^9. However, note that the question asks for the value
in thousands of dollars. Therefore, expressed in thousands of dollars, the value is 10 * 0.8^9.
Answer: D.
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