Question 866629
The lower bound L and the upper bound U are equal to 



L = xbar - ME
U = xbar + ME



where xbar is the sample mean and ME is the margin of error. In this case, 



xbar = 512
ME = 11.52



These are both given when they report the confidence interval (CI) of 512.00 ± 11.52



So,


L = xbar - ME
L = 512 - 11.52
L = 500.48


and


U = xbar + ME
U = 512 + 11.52
U = 523.52



Making the final answer to be <font color="red">500.48 to 523.52</font>