Mr. Castronovo's collectible Nerf Gun was purchased in 1974 for $20. Since this is a Chaminade original with great sentimental value, Mr. Castronovo figures that it probably appreciates in value at about 3.5%/a.

a) if V represents the value of the Nerf Gun, in dollars, andn represents the numbers of years since 1974, write and expression for the value of the Nerf Gun.

b) Find the current value of the Nerf Gun.

c) Determine when the Nerf Gun will be worth $200.