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mathematics
college mathematics for business
Questions and Answers of
College Mathematics For Business
In Problem find the solution set. y y 1 4
For what values of a and b is the inequality a + b < b - a true?
In Problem sketch a graph of each equation or pair of equations in a rectangular coordinate system.3x - 2y = 10
If a and b are negative numbers and a > b, then is a / b greater than 1 or less than 1?
In Problem find the solution set. m 3 m 3 5 5 V
In Problem find the solution set. 2 + 2 3 2 3
In Problem solve and graph. -4
Graph y = mx + b and y = -1/m x + b simultaneously in the same coordinate system for b fixed and several different values of m, m ≠ 0. Describe the apparent relationship between the graphs of the
In Problem sketch a graph of each equation or pair of equations in a rectangular coordinate system.x = 3; y = -2
An investor has $300,000 to invest. If part is invested at 5% and the rest at 9%, how much should be invested at 5% to yield 8% on the total amount?
Table 2 gives U.S. high school dropout rates as percentages for selected years since 1990. A linear regression model for the data isr = -0.308t + 13.9where t represents years since 1990 and r is the
In Problem solve and graph.2 < 3x - 7 < 14
A producer of educational DVDs is producing an instructional DVD. She estimates that it will cost $90,000 to record the DVD and $5.10 per unit to copy and distribute the DVD. If the wholesale price
In Problem find the slope of the graph of each equation4x + y = 3
Methanol, also known as wood alcohol, can be used as a fuel for suitably equipped vehicles. Table 1 lists the freezing temperature for various concentrations (as a percentage of total weight) of
A simple rule of thumb for determining your maximum safe heart rate (in beats per minute) is to subtract your age from 220. While exercising, you should maintain a heart rate between 60% and 85% of
A bulldozer was purchased by a construction company for $224,000 and has a depreciated value of $100,000 after 8 years. If the value is depreciated linearly from $224,000 to $100,000,(A) Find the
The U.S. Consumer Price Index (CPI) in recent years is given in Table 3. A scatter plot of the data and linear regression line are shown in the figure, where x represents years since 1990.(A)
In Problem find the slope of the graph of each equation3x + 5y = 15
In Problem solve for the indicated variable.3x - 4y = 12; for y
In Problem solve for the indicated variable.y = -2/3 x + 8; for x
In Problem find the slope of the graph of each equation-4x + 2y = 9
The weekly demand for mouthwash in a chain of drug stores is 1,160 bottles at a price of $3.79 each. If the price is lowered to $3.59, the weekly demand increases to 1,320 bottles. Assuming that the
In Problem solve for the indicated variable.F = 9/5 C + 32; for C
Graph y = 25x + 200, x > 0.
In Problem solve and graph.-3 ≤ 4 - 7x < 18
In Problem solve and graph.-10 ≤ 8 - 3u ≤ -6
(A) Graph y = 1.2x - 4.2 in a rectangular coordinate system.(B) Find the x and y intercepts algebraically to one decimal place.(C) Graph y = 1.2x - 4.2 in a graphing calculator.(D) Find the x and y
(A) Graph y = -0.8x + 5.2 in a rectangular coordinate system.(B) Find the x and y intercepts algebraically to one decimal place.(C) Graph y = -0.8x + 5.2 in a graphing calculator.(D) Find the x and y
If both a and b are negative numbers and b/a is greater than1, then is a - b positive or negative?
In Problem write the equations of the vertical and horizontal lines through each point.(4, -3)
In Problem write the equations of the vertical and horizontal lines through each point.(-5, 6)
In Problem write the equations of the vertical and horizontal lines through each point.(-1.5, -3.5)
In Problem write the equations of the vertical and horizontal lines through each point.(2.6, 3.8)
In Problem write the slope-intercept form of the equation of the line with the indicated slope that goes through the given point.m = 5; (3, 0)
In Problem write the slope-intercept form of the equation of the line with the indicated slope that goes through the given point.m = 4; (0, 6)
In Problem write the slope-intercept form of the equation of the line with the indicated slope that goes through the given point.m = -2; (-1, 9)
In Problem write the slope-intercept form of the equation of the line with the indicated slope that goes through the given point.m = -10; (2, -5)
In Problem write the slope-intercept form of the equation of the line with the indicated slope that goes through the given point.m =1/3; (-4, -8)
In Problem write the slope-intercept form of the equation of the line with the indicated slope that goes through the given point.m =2/7; (7, 1)
In Problem write the slope-intercept form of the equation of the line with the indicated slope that goes through the given point.m = -3.2; (5.8, 12.3)
In Problem write the slope-intercept form of the equation of the line with the indicated slope that goes through the given point.m = 0.9; (2.3, 6.7)
In Problem(A) Find the slope of the line that passes through the given points.(B) Find the standard form of the equation of the line.(C) Find the slope-intercept form of the equation of the line.(2,
In Problem(A) Find the slope of the line that passes through the given points.(B) Find the standard form of the equation of the line.(C) Find the slope-intercept form of the equation of the
In Problem(A) Find the slope of the line that passes through the given points.(B) Find the standard form of the equation of the line.(C) Find the slope-intercept form of the equation of the line.(5,
In Problem(A) Find the slope of the line that passes through the given points.(B) Find the standard form of the equation of the line.(C) Find the slope-intercept form of the equation of the line.(-2,
Discuss the relationship among the graphs of the lines with equation y = mx + 2, where m is any real number.
Discuss the relationship among the graphs of the lines with equation y = -0.5x + b, where b is any real number.
In stable air, the air temperature drops about 3.6°F for each 1,000-foot rise in altitude.(A) If the temperature at sea level is 70°F, write a linear equation that expresses temperature T in terms
A donut shop has a fixed cost of $124 per day and a variable cost of $0.12 per donut. Find the total daily cost of producing x donuts. How many donuts can be produced for a total daily cost of $250?
A drugstore sells a drug costing $85 for $112 and a drug costing $175 for $238.(A) If the markup policy of the drugstore is assumed to be linear, write an equation that expresses retail price R in
A farmer buys a new tractor for $157,000 and assumes that it will have a trade-in value of $82,000 after 10 years. The farmer uses a constant rate of depreciation (commonly called straight-line
The average number of persons per household in the United States has been shrinking steadily for as long as statistics have been kept and is approximately linear with respect to time. In 1980 there
Hooke’s law states that the relationship between the stretch s of a spring and the weight w causing the stretch is linear. For a particular spring, a 5-pound weight causes a stretch of 2 inches,
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