Question 81518
Given the value of investment after 1 year is :

V = P(1 + r/2 )^2

==> V = P (1 + r + r^2/4) [using (a+b)^2 = a^2 + 2ab + b^2]

==> V = P + Pr + Pr^2/4

This is the required polynomial.

When P = 200 and r = 0.1 then,

V = 200 + 200(0.1) + 200(0.1)^2/4

   = 200 + 20 + 0.5

   = 220.5

Thus the value of the investment of $200 after 1 year at 10% is $ 220.5