In 2004, an art collector paid $84,275,000 for a particular painting. The same painting sold for $27,000 in 1950. Complete part (a) through (d)? (a) Find exponential growth rate k, to 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 2010? (c) What is the doubling time for the value of the painting? (d) How long after 1950 will the value of the painting be $1 billion?