Manuela has saved $12000 over the last 10 years she decides to invest some of it at 5.5% annual interest and the rest at 4.5% annual interest after one year her total interest from both accounts is $628 how much did she invest in each account? Define variables, create equation, and solve.

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?

Square a has a side length of (2x-7) and square b has a side length of (-4x+18). how much bigger is the perimeter of square b than square a?and show all work! you so