Which is the initial value that shrinks an exponential growth function by 50%? One-fifth One-fourth One-third One-half

Find dy/dx using implicit differentiation ln(20+e^xy)=y

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.

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.