The geometric mean is often used in business and economics for finding average rates of change, average rates of growth, or average ratios. given n values (all of which are positive), the geometric mean is the nth root of their product. the average growth factor for money compounded at annual interest rates of 9.3%, 7.9%, and 2.5% can be found by computing the geometric mean of 1.093, 1.079, and 1.025. find that average growth factor, or geometric mean. what single percentage growth rate would be the same as having three successive growth rates of 9.3%, 7.9%, and 2.5%? is that result the same as the mean of 9.3%, 7.9%, and 2.5%?

Four analysts cover the stock of fluorine chemical. one forecasts a 6% return for the coming year. the second expects the return to be negative 6%. the third predicts a return of 8%. the fourth expects a 2% return in the coming year. you are relatively confident that the return will be positive but not large, so you arbitrarily assign probabilities of being correct of 35 % comma 8 %, 17 %, and 40%, respectively, to the analysts' forecasts. given these probabilities, what is fluorine chemicals expected return for the coming year

He aldermanalderman company has prepared a sales budget of 42 comma 00042,000 finished units for a 3-month period. the company has an inventory of 10 comma 00010,000 units of finished goods on hand at december 31 and has a target finished goods inventory of 11 comma 00011,000 units at the end of the succeeding quarter. it takes 44 gallons of direct materials to make one unit of finished product. the company has inventory of 64 comma 00064,000 gallons of direct materials at december 31 and has a target ending inventory of 53 comma 00053,000 gallons at the end of the succeeding quarter. how many gallons of direct materials should aldermanalderman company purchase during the 3 months ending march 31? select the labels and enter the amounts to calculate the direct materials (gallons) to be purchased.

Kendra knight took part in a friendly game of touch football. she had played before and was familiar with football. michael jewett was on her team. in the course of play, michael bumped into kendra and knocked her to the ground. he stepped on her hand, causing injury to a little finger that later required its amputation. she sued michael for damages. he defended on the ground that she had assumed the risk. kendra claimed that assumption of risk could not be raised as a defense because the state legislature had adopted the standard of comparative negligence. what happens if contributory negligence applies? what happens if the defense of comparative negligence applies?