After returning from a trip to Spain, you find that you have several dollars and several Euros in your purse. Each Euro has a value of $1.27. There are a total of 28 items, and they have a total value of $31.78.
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A: Using ?D for the number of dollar bills and ?E the for number of Euros, write a system of two equations that describes the money in your purse. Round your answers to two decimal places, if necessary.
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B: How many dollar bills and how many Euros do you have?
What will be an ideal response?
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B: We have 14 dollar bills and 14 Euros.
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Express the vector in the form ai + bj + ck.8u - 5v if u = 
and v = 
A. v = -7i + 8j - 5k B. v = 8i + 8j - 5k C. v = 23i + 8j - 5k D. v = -7i + 13j - 5k
Given that f(x) = sin x, g(x) = cos x, and h(x) = tan x, evaluate the given function. The point (x, 
), on the circle 
, also lies on the terminal side of an angle ? in quadrant II. The point 
, on the circle 
, also lies on the terminal side of an angle ? in quadrant III.f(2?)
A. 
B. - 
C. 
D. - 
Solve using Cramer's rule, if possible. If it is not possible, state whether the system is inconsistent or has infinitely many solutions.
A. (5, 4) B. (-5, -4) C. (4, 5) D. (-4, 5)
The quantity demanded x (in units of a hundred) of the miniature cameras per week is related to the unit price p (in dollars) by
?
?
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and the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
?
?
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Please round the answers to the nearest dollar.
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A. The consumers' surplus: $22,075, the producers' surplus: $26,872
B. The consumers' surplus: $6,667, the producers' surplus: $11,667
C. The consumers' surplus: $22,161, the producers' surplus: $39,729
D. The consumers' surplus: $11,667, the producers' surplus: $6,667
E. The consumers' surplus: $39,729, the producers' surplus: $22,161