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.

A.
 = 
B.
 = 
C.

 = 

D.
 = 


Answer: A

Mathematics

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Solve the problem.31% of a store's computers come from factory A and the remainder come from factory B. 2% of computers from factory A are defective while 1% of computers from factory B are defective. If one of the store's computers is selected at random, what is the probability that it is not defective and from factory A?

A. 0.987 B. 0.304 C. 0.98 D. 0.006

Mathematics

Solve the problem.Newton's Law of Cooling states that if a body with temperature T1 is placed in surroundings with temperature T0 different from T1, then the body will either cool or warm to temperature T(t) after time t, in minutes, where A dish of lasagna baked at 375°F is taken out of the oven into a kitchen that is 74°F. After 8 minutes, the temperature of the lasagna is 310.8°F. What will its temperature be 15 minutes after it was taken out of the oven? Round your answer to the nearest degree.

A. 274°F B. 260°F C. 252°F D. 266°F

Mathematics

Find the sum.

A. 186 B. 22 C. 255 D. Does not exist

Mathematics

Find the value of the indicated trigonometric function of the angle ? in the figure. Give an exact answer with a rational denominator.Find sin ?.

A. sin ? = 
B. sin ? = 
C. sin ? = 
D. sin ? = 

Mathematics