Mrs. Williams finds that she has two options for investing $32,000.02 for fifteen years. The first option is to deposit the $32,000.02 into a fund earning a nominal rate of discount d(4) payable quarterly. The second option is to purchase an annuity-immediate with 15 level annual payments, the annuity payments computed using an annual effective rate of 7%, and then when she gets an annuity payment, to immediately invest it into a fund earning an annual effective rate of 5%. Mrs. Williams calculates that the second option produces an accumulated value that is $1,500 more than the accumulated value yielded by the first option. Calculate d(4).

Which statement best defines a grant? a grant is an educational plan in which students alternate between studying for school and gaining work experience. a grant is a loan offered to students to pay for education-related expenses. a grant is money given by an organization for a specific purpose. a grant is a loan offered to anyone who is thinking about attending college.

Consumer surplus is: the difference between the price of a product and what consumers were willing to pay for the product. the difference between the discounted price of a product and its retail price. the difference between the price paid by consumers and the price required of producers. the difference between the price of a product and consumers' valuation of the last unit of the product purchased.

Which statement below best describes george waring's approach to solving the problems of water-borne illness? a. waring is going with his "gut," because he believes that instincts and emotions are the best guides for action. b. waring efficiently and thoroughly lays out the case for why the problems are too large and overwhelming to be solved: people should just move out of cities back to their farms. c. waring has gathered the testimonies of people who live in densely populated areas in order to learn how they themselves have solved their problems. d. waring exhibits the industrial age's increased respect for and reliance on science and the scientific method.