Suppose P is a partition of a set A. Define a relation R on A by declaring x~_R y if and only if x, y ∈ X for some X ∈ P. Prove R is an equivalence relation on A. Then prove that P is the set of equivalence classes of R.

What is the compound interest in a three-year, $100,000 loan at a 10 percent annual interest rate a) 10.00 b) 21.00 c) 33.10 d) 46.41

The test scores of 32 students are listed below. construct a boxplot for the data set and include the values of the 5-number summary. 32 37 41 44 46 48 53 55 57 57 59 63 65 66 68 69 70 71 74 74 75 77 78 79 81 82 83 86 89 92 95 99

Erin bought christmas cards for $2 each to send to her family and friends. which variable is the dependent variable?