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 13.4%, 7.8%, and 3.4% can be found by computing the geometric mean of 1.134, 1.078, and 1.034. find that average growth factor, or geometric mean. what single percentage growth rate would be the same as having three successive growth rates of 13.4%, 7.8%, and 3.4%? is that result the same as the mean of 13.4%, 7.8%, and 3.4%?

Suppose life expectancy in years (l) is a function of two inputs, health expenditures (h) and nutrition expenditures (n) in hundreds of dollars per year. the production function is upper l equals ch superscript 0.40 baseline upper n superscript 0.60l=ch0.40n0.60. beginning with c = 1, a health input of $400400 per year (hequals=44) and a nutrition input of $400400 per year (nequals=44), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing. the marginal product of health expenditures when h goes from 44 to 55 is nothing, and the marginal product of health when h goes from 66 to 77 is nothing. (round your answers to three decimal places.)

Suppose a jury of 12 people is chosen from the above pool, and this jury hears a case and discusses the verdict; x is the number who think the defendant is guilty.

For the year, uptowne furniture had sales of $818,790, costs of $748,330, and interest paid of $24,450. the depreciation expense was $56,100 and the tax rate was 34 percent. at the beginning of the year, the firm had retained earnings of $172,270 and common stock of $260,000. at the end of the year, retained earnings was $158,713 and common stock was $280,000. any tax losses can be used. what is the amount of the dividends paid for the year? a. $6,466 b. $7,566 c. $5,266 d. $6,898 e. $7,066