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Mathematics
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Mathematical Analysis
Exam 2: Applications and More Algebra
Path 4
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Question 201
Short Answer
Solve: 7 - 2x < 9
Question 202
Short Answer
The CEO of an office equipment company decides to borrow money to expand their manufacturing facility.The company has current assets of $4,000,000 and current liabilities of $640,000.How much can they borrow if they want their current ratio of assets to liabilities to be no less than 3? (Note: (1)The current ratio is the ratio of a business' current assets to its current liabilities; (2)The funds they receive are considered as current assets and the loan as a current liability.)
Question 203
Short Answer
A sociologist is hired by a city to study different programs that aid the education of preschool-age children.The sociologist estimates that n years after the beginning of a particular program,p thousand preschoolers will be enrolled,where p =
n(12 - n).How many years after the start of the program will 25,000 preschoolers first be enrolled?
Question 204
Essay
Two resistors
and
are connected in parallel in an electrical circuit.The net resistance R is given by
If
= 20 ohms,what values of
will create a net resistance of less than 10 ohms?
Question 205
Short Answer
Solve: Six plus three times x is a number 12 units from zero.
Question 206
Multiple Choice
To train for a race,Will begins by jogging 11 minutes one day per week.He increases his jogging time by 6 minutes each week.Write the general term of this arithmetic sequence,and find how many whole weeks it takes for him to reach a jogging time of one hour.
Question 207
Short Answer
The owner of a floral shop wants to take out a loan to purchase a new delivery truck.The company has current assets of $121,600 and current liabilities of $28,000.How much can he borrow if he wants his current ratio of assets to liabilities to be no less than 2.8? (Note: The funds they receive are considered as current assets and the loan as a current liability.)
Question 208
Short Answer
The relationship between Fahrenheit and Celsius temperature is given by the formula
=
.Normal body temperature is F ≥ 98.6.Find the corresponding Celsius temperature.
Question 209
Multiple Choice
a = 12,24,36,48;
Question 210
Multiple Choice
a = 21; d = -5
Question 211
Short Answer
Approximately 21% of the air we breathe is oxygen.To the nearest milliliter,how many milliliters of air contain 1 milliliter of oxygen?
Question 212
Short Answer
Simplify: |-8|
Question 213
Multiple Choice
The solution of
≤ 5 is
Question 214
Essay
Three times x plus five is a number that is more than 4 units from zero.What are the possible values for x?
Question 215
Short Answer
A company produces a product for which the variable cost per unit is $3.50 and fixed cost is $20,000 per year.Next year,the company wants the total cost to be $48,000.How many units of the product should be made next year?