Solve the problem. suppose an economy consists of three sectors: energy (e), manufacturing (m), and agriculture (a). sector e sells 70% of its output to m and 30% to a. sector m sells 30% of its output to e, 50% to a, and retains the rest. sector a sells 15% of its output to e, 30% to m, and retains the rest. denote the prices (dollar values) of the total annual outputs of the energy, manufacturing, and agriculture sectors by pe, pm, and pa, respectively. if possible, find equilibrium prices that make each sector's income match its expenditures. find the general solution as a vector, with pa free.

Maker-bot corporation has 10,000 shares of 10%, $90 par value, cumulative preferred stock outstanding since its inception. no dividends were declared in the first two years. if the company pays $400,000 of dividends in the third year, how much will common stockholders receive?

Investment x offers to pay you $5,700 per year for 9 years, whereas investment y offers to pay you $8,300 per year for 5 years. if the discount rate is 6 percent, what is the present value of these cash flows? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) present value investment x $ investment y $ if the discount rate is 16 percent, what is the present value of these cash flows? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) present value investment x $ investment y

In year 1, the bennetts' 25-year-old daughter, jane, is a full-time student at an out-of-state university but she plans to return home after the school year ends. in previous years, jane has never worked and her parents have always been able to claim her as a dependent. in year 1, a kind neighbor offers to pay for all of jane's educational and living expenses. which of the following statements is most accurate regarding whether jane's parents would be allowed to claim an exemption for jane in year 1 assuming the neighbor pays for all of jane's support? a.no, jane must include her neighbor's gift as income and thus fails the gross income test for a qualifying relative.b.yes, because she is a full-time student and does not provide more than half of her own support, jane is considered her parent's qualifying child.c.no, jane is too old to be considered a qualifying child and fails the support test of a qualifying relative.d.yes, because she is a student, her absence is considered as "temporary." consequently she meets the residence test and is a considered a qualifying child of the bennetts.