Let s(t) denote the position of a particle at time t, and let v and a be the velocity and acceleration respectively. the particle is moving according to the data v(t)=sin(t)−cos(t),s(0)=−10. find a function describing the position of the particle.

125 tickets were sold for the jazz band concert for a total of $1,022. students tickets cost $6 each, and general admission tickets cost $10 each. how many of each kind of tickets were sold?

Five dinosaurs go for a walk and come across some lovely chicken wings. their names are rexy, bronto, steggy, paly, and terry. there are exactly 5 dozen wings(equal enough for each dino to have a dozen right? ); however, terry is on a diet and he only eats 6 wings. if paly eats 2 more than terry, steggy eats 4 more than paly, and bronto and rexy eat the same amount because they are really hungry from not eating all day, how many chicken wings did each dino eat?

Mustafa contributes 11% of his $67,200 annual salary to his 401k plan. what is his pretax income