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Assume the value of a particular house in Duchess County has increased in value according to a quadratic function V(t), where the units of V are in dollars and t represents the number of years the property has been owned. Suppose the house was purchased on January 1, 1970 and valued at $50,000. In 1980, the value of the house on January 1 was $80,000. Finally, on January 1, 1990 the value was $200,000. Find the value function V(t), determine the value on January 1, 1996 and find when the house will valued at $1,000,000.
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Answers
(a) V(t) = 0.45t2 - 1.5t + 50 (b) $315,200 in 1996 (c) value $1000,000 after 47.64 years |