Suppose you invested $10,000 part at 6% annual interest and the rest at 9% annual interest. if you received $684 in interest after one year, how much did you invest at each rate?

In a recent basketball game between the storm and the chargers, the number of points scored by the storm in the first half was equal to the number of points scored by the chargers in the second half of the game. in the first half, the storm scored 64 points, which is one - third of the total points that were scored during the game. during the second half, the chargers scored 16 points more than one - fourth the points scored in the game. you want to know how many total points that were scored during the game. 1. write an equation that models this situation. then, solve the equation. 2. how many total points were scored during the game? explain your reasoning. 3. does your answer make sense? justify your reasoning.

Choose all answers that apply: a) ab and a’b’ are one the same line. b) quadrilaterals abcd and a’ b’ c’ d’ have the same perimeters. c) points a and a’ have the same coordinates. d) none of the above

Given this information, which expression must represent the value of b?