Answer:
[tex]R = U + {1}{2}A\sigma^2[/tex]
Explanation:
Given
[tex]U = R - \frac{1}{2}A\sigma^2[/tex]
Required
Solve for R
We have:
[tex]U = R - {1}{2}A\sigma^2[/tex]
Add [tex]{1}{2}A\sigma^2[/tex] to both sides
[tex]U + {1}{2}A\sigma^2 = R - {1}{2}A\sigma^2 + {1}{2}A\sigma^2[/tex]
Evaluate like terms
[tex]U + {1}{2}A\sigma^2 = R[/tex]
Hence:
[tex]R = U + {1}{2}A\sigma^2[/tex]