(Solved): please help me ! Art masterpieces. In 2005 , a collector paid $205,500,000 for Pablo Picasso's "Garc ...

Art masterpieces. In 2005 , a collector paid $\$205,500,000$ for Pablo Picasso's "Garcon à la Pipe." The same painting sold for $\$50,000$ in 1960 . a) Find the 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 1960. $\begin{array}{ll}k=& \text{ (Round to }3\text{ decimals) }\\ V(t)=& e^T\end{array}$ (Round to 3 decimals) b) Predict the value of the painting in 2020. Painting Value $=\$$ (Round to 2 decimals) c) What is the doubling time for the value of the painting? $T=yr\text{ (Round to }1\text{ decimal) }$ d) How long after 1960 will the value of the painting be $\$2$ billion? $T\text{ - }yr\text{ (Round to the next whole year) }$