The Irrational Club wants to build a tree house. They have a 10-foot ladder that must be propped diagonally against the tree. If the base of the ladder is 6 feet from the bottom of the tree, how high will the tree house be off the ground?

G(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.

If $740 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in 7 years? use the continuous compound interest formula a = pert.