Dear Rachel You got 85 (out of 100) in the makeup exam Here is what you got wrong: #1: form the answer is wrong: -7 points #2: wrong answer, right way (but WAY too complicated, hence you messed up): -5 points #6: wrong ans. but RIGHT way (careless error): -3 points Since this is higher than 20 (that you got in midterm 1) your score is 85 Best wishes, Dr. Z.