Five years ago gary invested $10,000 into an account that makes 6% compounded annually. the value in the account after x years is represented by the formula v = 10,000(1.06)x. assuming that gary has made no deposits or withdrawals, how much money is in the account now?

The graph of y x3 is translated so that the point (1. 1) is moved to (1, 4). what is the equation of the new graph?

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.