The missing balance after the transactions is $101.48.
Let's calculate the missing balance in Lucy's check register. We'll start with the given information:
\[
\begin{array}c
\hline
\text{Check \#} & \text{Date} & \text{Transaction} & \text{Amount} & \text{Balance} \\
\hline
\text{-} & \text{-} & \text{Beginning Balance} & \text{-} & \$139.36 \\
\hline
429 & 11/6 & \text{Transfer to Savings} & -\$40.00 & \$99.36 \\
\hline
\text{-} & 11/7 & \text{Took Mom to Lunch} & -\$47.88 & \$51.48 \\
\hline
\text{-} & 11/16 & \text{Apple Pie Contest Winnings} & +\$50.00 & \$101.48 \\
\hline
\end{array}
\]
Now, we need to update the balance for each transaction. Starting with the initial balance:
- Initial balance: \$139.36
Then, for each transaction:
1. Transfer to Savings: \$139.36 - \$40.00 = \$99.36
2. Took Mom to Lunch: \$99.36 - \$47.88 = \$51.48
3. Apple Pie Contest Winnings: \$51.48 + \$50.00 = \$101.48
So, the missing balance after these transactions is \$101.48.