September 15, 2009

Help Pricing Antique Furniture Currently For Sale On eBay

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Help Pricing Antique Furniture
Help Pricing Antique Furniture
please help on this hard derivative problem?

Certain pieces of antique furniture increased very rapidly in price in the 1970s and 1980s. For example, the value of a particular rocking chair is well approximated by
V = 125(1.5)^t

where V is in dollars and t is the number of years since 1975. Find the rate, in dollars per year, at which the price is increasing.
I need an actual rate for the answer.

V=125 (1.5)^t
dV/dt = 125 (1.5)^t ln (1.5) (this is the derivative)
dv/dt =125 ln(1.5) v^t

Note:
ln (v) = ln (125) + t ln (1.5)
(1/v) dv/dt = ln (1.5)
dv/dt = 1n(1.5) v
= ln (1.5) 125 (1.5)^t



Antique Furniture : How to Become an Auctioneer



Help Pricing Antique Furniture Currently For Sale On eBay.

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