If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year? $ If you leave this money in the account, how much will be in your account after 2 years?

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

Which of the following would be a good name for the function that takes the weight of a box and returns the energy needed to lift it?

Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)