Let S = {A1, A2, A3, A4, A5} be a collection of five subsets of the set A = {−5, −4, . . . , 4, 5}, where A1 = {x ∈ A : 1 < x2 < 10} A2 = {x ∈ A : (x + 2)(x − 4) > 0} A3 = {x ∈ A : |x + 2| + |x − 3| ≤ 5} A4 = {x ∈ A : 1 x2+1 > 2 5 } A5 = {x ∈ A : sin πx 4 = 0}. A relation R is defined on S by Ai R Aj (1 ≤ i, j ≤ 5) if Ai and Aj are numerically equivalent. According to Theorem 11.1, R is an equivalence relation. Determine the distinct equivalence classes for this equivalence relation.

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?

He weights of 2-pound bags of best dog food are approximately normally distributed with a given mean  and standard deviation  according to the empirical rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47.5%68%95%99.7%

The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. the function below shows the relationship between f(x) and x: f(x) = 10(1.3)xwhich of the following graphs best represents the function? graph of f of x equals 1.3 multiplied by 10 to the power of x graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity graph of f of x equals 10 multiplied by 1.3 to the power of x graph of f of x equals 1.3 to the power of x