The value, V (t), in dollars, of a stock t months after it is purchased is modeled by the following equation.

V(t)= 42(1-e ^-1.5t) +36

a) V (1) =$. (Round to two decimal places as needed)
V (12) =$.(Round to two decimal places as needed)

b)Find V '(t)=.(Simply your answer. Use intergers or decimal for any numbers in the expression. Round to one decimal place as needed)

c) After how many months will the value of the stock first reach $75?( Do not round until the final answer. Then round to one decimal place as needed)

d)lim V (t)= $
t-->[infinity]