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Mathematics
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Mathematical Analysis
Exam 2: Applications and More Algebra
Path 4
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Question 41
Multiple Choice
The solution of 5x >2x is
Question 42
Multiple Choice
a = 6; r = -5
Question 43
Short Answer
Simplify: |(-3 - 7)/ 2|
Question 44
Short Answer
An appliance company makes coffee makers for which the variable cost per unit is $12 and the fixed cost is $92,000.What should the selling price be for the company to earn a profit of $88,000 on 10,000 units?
Question 45
Essay
The owner of a 20-room motel,which is 70% occupied,decides to charge $8 more than the single occupancy rate if two or more people occupy the room.This situation occurs in 75% of the occupied rooms,on the average.What should the two rates be so that the owner receives $160,000 in annual income to cover expenses and yield a reasonable profit? (Assume that a year has 365 days and give your answer to the nearest dollar.)
Question 46
Short Answer
Ohm's Law in electrical theory states that V = IR,where R is the resistance (in ohms)of an object,V is the potential difference (in volts)across the object,and I is the current (in amperes)that flows through it.If the voltage is 220 volts,what values for the current will result in a resistance that is less than 20 ohms?
Question 47
Short Answer
A county decides to retire some of its road construction bonds in 2 years.At that time $4,840,000 will be required.If it presently sets aside $4,000,000,at what annual rate of interest,compounded annually,will this money need to earn in order for its future value to be sufficient to retire the bonds?
Question 48
Essay
Solve:
= 7
Question 49
Multiple Choice
Suppose consumers purchase q units of a manufacturer's product when the price per unit (in dollars) is
If no more than 75 units can be sold,then the number of units that must be sold in order that sales revenue be $1000 is
Question 50
Essay
Express the sum in summation notation. 7 + 11 + 15 + 19 + 23 + 27 + ...+ 67
Question 51
Essay
Write the income range for line 3 as an inequality.Write the inequality that represents the tax owed.
Question 52
Short Answer
A rectangular deck attached to a ski lodge is 22 m long and 10 m wide.Planter boxes will be added along the 3 open sides,which include 1 long side and both short sides.How wide can the boxes be to leave 180 sq m of deck space?