Determine the principal P that must be invested at rate 7=3 1 A %1 compounded monthly, so that $500,000 will be available for retirement in t=13 years. (Round your answer to the nearest cent.) P=$ Write the partial fraction decomposition of the rational expression. Check your result algebraically. 7x -8 Solve the system of linear equations and check any solution algebraically. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express x, y, and zin terms of the real number a.) x + y + z = 7 x - 2y+4z = 9 3y+4z = 19 (x, y, z) = If possible, find 4A, and 4A - 3B. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) A = 8-2 2 85 -52 B 9