4. using the rule of 70 consider an imaginary economy that has been growing at a rate of 3% per year. government economists have proposed a number of policies to increase the growth rate but first need to convince the president that the policies will pay off. to do so, they want to present a comparison of the number of years it will take for the economy to double, depending on the growth rate. using the rule of 70, determine the number of years it will take the economy to double at each growth rate. growth rate years required to double (percent) (nearest whole number of years) 3 4 5

Lucy is catering an important luncheon and wants to make sure her bisque has the perfect consistency. for her bisque to turn out right, it should have the consistency of a. cold heavy cream. b. warm milk. c. foie gras. d. thick oatmeal.

John and daphne are saving for their daughter ellen's college education. ellen just turned 10 at (t = 0), and she will be entering college 8 years from now (at t = 8). college tuition and expenses at state u. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. ellen should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).so far, john and daphne have accumulated $15,000 in their college savings account (at t = 0). their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. they expect their investment account to earn 9%. how large must the annual payments at t = 5, 6, and 7 be to cover ellen's anticipated college costs? a. $1,965.21b. $2,068.64c. $2,177.51d. $2,292.12e. $2,412.76

Hank itzek manufactures and sells homemade wine, and he wants to develop a standard cost per gallon. the following are required for production of a 70-gallon batch. 2,700 ounces of grape concentrate at $0.04 per ounce 77 pounds of granulated sugar at $0.43 per pound 133 lemons at $0.79 each 350 yeast tablets at $0.24 each 350 nutrient tablets at $0.14 each 2,500 ounces of water at $0.001 per ounce hank estimates that 4% of the grape concentrate is wasted, 9% of the sugar is lost, and 32% of the lemons cannot be used. compute the standard cost of the ingredients for one gallon of wine. (round intermediate calculations and final answer to 2 decimal places, e.g.