In 2004, an art collector paid $72719000 for a particular painting. The same painting sold for

In 2004, an art collector paid $72719000 for a particular painting. The same painting sold for $34000 in 1950.
a) Find the exponential growth rate k, three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950
b) Predict the value of the painting in 2026
c) Estimate the rate of change of the painting's value in 2026
d) How long after 1950 will the value of the painting be $4 billion

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