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-A Veterinarian Depreciates A $10,000\$ 10,000 X-Ray Machine V(t)V ( t )

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-A veterinarian depreciates a $10,000\$ 10,000 X-ray machine. He estimates that the resale value V(t) V ( t ) (in $\$ ) after tt years is 90%90 \% of its value from the previous year. Therefore, the resale value can be approximated by V(t) =10,000(0.9) tV ( t ) = 10,000 ( 0.9 ) ^ { t } .
a. Find the resale value after 3yr3 \mathrm { yr } .
b. If the veterinarian wants to sell his practice 10yr10 \mathrm { yr } after the X-ray machine was purchased, how much is the machine worth? Round to the nearest $100\$ 100 .


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