Show that푦=퐴sin(푘푡)+퐵cos(푘푡), is a solution to the differential equation푦′′=−푘2푦. Findconstants 퐴and 퐵that satisfy the initial conditions 푦(0)=20and 푦′(0)=0.

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

Which system of linear inequalities is represented by the graph?

The description below represents function a and the table represents function b: function a the function is 5 more than 3 times x. function b x y −1 2 0 5 1 8 which statement is correct about the slope and y-intercept of the two functions? (1 point) their slopes are equal but y-intercepts are not equal. their slopes are not equal but y-intercepts are equal. both slopes and y intercepts are equal. neither slopes nor y-intercepts are equal.