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mathematics
college mathematics for business economics

Questions and Answers of College Mathematics For Business Economics

In Problems 9–16, convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form.0.006
In Problems 9–16, convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form.0.0075
In Problems 9–16, convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form.0.4%
In Problems 9–16, convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form.0.9%
In Problems 9–16, convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form.0.2499
In Problems 9–16, convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form.0.165
In Problems 17–24, convert the given time period to years, in fraction form, assuming a 360-day year [this assumption does not affect the number of quarters (4), months (12), or weeks (52) in a
In Problems 17–24, convert the given time period to years, in fraction form, assuming a 360-day year [this assumption does not affect the number of quarters (4), months (12), or weeks (52) in a
In Problems 17–24, convert the given time period to years, in fraction form, assuming a 360-day year [this assumption does not affect the number of quarters (4), months (12), or weeks (52) in a
In Problems 17–24, convert the given time period to years, in fraction form, assuming a 360-day year [this assumption does not affect the number of quarters (4), months (12), or weeks (52) in a
In Problems 17–24, convert the given time period to years, in fraction form, assuming a 360-day year [this assumption does not affect the number of quarters (4), months (12), or weeks (52) in a
In Problems 41–46, solve each formula for the indicated variable. A = P + Prt; for P
In Problems 17–24, convert the given time period to years, in fraction form, assuming a 360-day year [this assumption does not affect the number of quarters (4), months (12), or weeks (52) in a
In Problems 41–46, solve each formula for the indicated variable. A = P(1 + rt); for t
In Problems 41–46, solve each formula for the indicated variable. I = Prt; fort
How much interest will you have to pay for a credit card balance of $554 that is 1 month overdue, if a 20% annual rate is charged?
A loan of $4,000 was repaid at the end of 10 months with a check for $4,270. What annual rate of interest was charged?
What annual interest rate is earned by a 13-week T-bill with a maturity value of $1,000 that sells for $989.37?
What is the purchase price of a 50-day T-bill with a maturity value of $1,000 that earns an annual interest rate of 5.53%?
In Problems 65–68, assume that the minimum payment on a credit card is the greater of $20 or 2% of the unpaid balance. Find the minimum payment on an unpaid balance of $1,215.45.
In Problems 65–68, assume that the minimum payment on a credit card is the greater of $20 or 2% of the unpaid balance.Find the minimum payment on an unpaid balance of $936.24.
In Problems 65–68, assume that the minimum payment on a credit card is the greater of $20 or 2% of the unpaid balance.If the annual interest rate is 16.99%, find the difference between the minimum
Use the commission schedule from Company A shown in Table 2 to find the annual rate of interest earned by each investment in Problems 71 and 72. An investor purchases 200 shares at $14.20 a share,
In Problems 65–68, assume that the minimum payment on a credit card is the greater of $20 or 2% of the unpaid balance.If the annual interest rate is 20.99%, find the difference between the minimum
Use the commission schedule from Company A shown in Table 2 to find the annual rate of interest earned by each investment in Problems 71 and 72. An investor purchases 450 shares at $21.40 a share,
Use the commission schedule from Company B shown in Table 3 to find the annual rate of interest earned by each investment in Problems 73 and 74. An investor purchases 215 shares at $45.75 a share,
Use the commission schedule from Company B shown in Table 3 to find the annual rate of interest earned by each investment in Problems 73 and 74.An investor purchases 75 shares at $37.90 a share,
In Problems 21–28, each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.xy - 4 = 0
In Problems 21–28, each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.x2 - y = 8
In Problems 9–24, graph each of the functions using the graphs of functions f and g below. y = g(x) - 1 5 f(x) 5 g(x) in ·x
In Problems 9–24, graph each of the functions using the graphs of functions f and g below. y = g(x - 1) 5 f(x) is -5 g(x) x+
Graph each function in Problems 47–52. f(x) = 2 - 2x (x - 2 if x < 2 if x ≥ 2
Graph each function in Problems 47–52. g(x) = x + 1 if x < -1 12 + 2x if x ≥ −1
Graph each function in Problems 47–52. h (x) 5 +0.5x -10 + 2x if 0≤x≤ 10 if x > 10
Graph each function in Problems 47–52. h(x) = 10 + 2x 40+0.5x if 0 ≤ x ≤ 20 if x > 20
Graph each function in Problems 47–52. h(x) 2x x + 20 0.5x + 40 if 0 ≤ x ≤ 20 if 20 < x≤ 40 ifx > 40
Graph each function in Problems 47–52. h(x) = 4x + 20 2x + 60 -x+ 360 if 0 ≤ x ≤ 20 if 20 < x≤ 100 if x > 100
In Problems 21–28, each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.y - 2x = 7
In Problems 21–28, each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.y = 10 - 3x
In Problems 21–28, each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither. 1 y = 5x + (7 - 10x)
In Problems 21–28, each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.3x + 4y = 5
In Problems 29–36, use point-by-point plotting to sketch the graph of each function. f(x) = x² - 1
In Problems 21–28, each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.9x - 2y + 6 = 0
In Problems 29–36, use point-by-point plotting to sketch the graph of each function. f(x) = 3 - x2
In Problems 47–52, find the domain of each function. H(x) = 72x² - x²
In Problems 29–36, use point-by-point plotting to sketch the graph of each function. f(x) = 8/x
In Problems 47–52, find the domain of each function. f(x) = x-2 x + 4
In Problems 47–52, find the domain of each function. g(x) = x + 1 x-2
In Problems 47–52, find the domain of each function. g(x) = √7-x
In Problems 47–52, find the domain of each function. F(x) = 1 √5 + x
In Problems 53–60, does the equation specify a function with independent variable x? If so, find the domain of the function. If not, find a value of x to which there corresponds more than one value
In Problems 53–60, does the equation specify a function with independent variable x? If so, find the domain of the function. If not, find a value of x to which there corresponds more than one value
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4.f(4)
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4.f(x - 2)
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4.f(-6x)
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4. f(Vx)
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4.f(10x)
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4. f(2) + f(h)
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4. f(-3) + f(h)
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4. f(2 + h)
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4. f(-3 + h)
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4. f(2 +h)-f(2)
In Problems 61–72, find and simplify the expression if f(x) = x2 - 4. f(-3+h)-f(-3)
Solve Problems 28 and 29 for the indicated variable. 9 x = ²/² (c + (C K = (C+B)G; for B(G 0)
Solve Problems 28 and 29 for the indicated variable. P = 9 K 51+ st, ; for for s(st = 0)
In Problems 1–3, use point-by-point plotting to sketch the graph of each equation.y = 5 - x2
In Problems 1–3, use point-by-point plotting to sketch the graph of each equation.x2 = y2
For f(x) = 2x - 1 and g(x) = 2x2 + 3x, find: (A) f(-1) + g(-2) g(-1) f(2) (C) (B) f(-2) g(0) ƒ(2) g(-1) (D)
In Problems 1–3, use point-by-point plotting to sketch the graph of each equation.y2 = 4x2
Write in exponential form using base 10: log A = B.
Solve Problems 10–12 for x exactly without using a calculator.log4 x = 3
Solve Problems 10–12 for x exactly without using a calculator.logx 49 = 2
Solve Problems 10–12 for x exactly without using a calculator.log3 27 = x
Solve Problems 13–16 for x to three decimal places.10x = 130.6
Solve Problems 13–16 for x to three decimal places.ex = 200
Use the graph of function f in the figure to determine (to the nearest integer) x or y as indicated. (A) y = f(0) (C) y = f(3) (E) y = f(-6) 7 (B) 4 = f(x) (D) 3 = f(x) (F) -1 = f(x) f(x) 5 -X
Solve Problems 13–16 for x to three decimal places.log x = 2.15
Solve Problems 13–16 for x to three decimal places.ln m = -1.24
Sketch a graph of each of the functions in parts (A)–(D) using the graph of function f in the figure below. (A) y = -f(x) (C) y = f(x - 2) 5 (B) y = f(x) + 4 (D) y = -f(x + 3) -3 f(x) 5 5 HA
Complete the square and find the standard form for the quadratic function Then write a brief verbal description of the relationship between the graph of f and the graph of y = x2 . f(x) = -x² + 4x
Find the domain of each function: (A) f(x) = 2х - 5 x² - x - 6 (B) g(x) = 3x V5 - х
Let f(x) = x2 - 3x + 1. Find (A) f(a) (C) f(a+h)-f(a) (B) f(a+h) (D) f(a+h)-f(a) h , h = 0
Find the vertex form for f(x) = 4x2 + 4x - 3 and then find the intercepts, the vertex, the maximum or minimum, and the range.
Explain how the graph of is related to the graph of m(x) = -|x - 4|
Let f(x) = ex - 1 and g(x) = In (x + 2). Find all points of intersection for the graphs of f and g. Round answers to two decimal places.
Sketch the graph of f for x ≥ 0. f(x) 9 + 0.3x (5 +0.2x if 0 ≤ x ≤ 20 ifx > 20
Explain how the graph of g(x) = 0.3x3 + 3 is related to the graph of y = x3 .
Sketch the graph of g for x ≥ 0. f(x) = 0.5x + 5 1.2x2 2x - if 0 ≤ x ≤ 10 if 10 < x≤ 30 30 26 if x
Given f(x) = -0.4x2 + 3.2x + 1.2, find the following algebraically (to one decimal place) without referring to a graph:(A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range
Graph f(x) = -0.4x2 + 3.2x + 1.2 in a graphing calculator and find the following (to one decimal place) using trace and appropriate commands:(A) Intercepts (B) Vertex (C) Maximum or minimum (D)
Given G(x) = 0.3x2 + 1.2 x - 6.9, find the following algebraically (to one decimal place) without the use of a graph:(A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range
The population of fish in a lake has a relative growth rate of 5% per year. At this rate, how long (to the nearest tenth of a year) will it take the number of fish in the lake to triple?
Graph G(x) = 0.3x2 + 1.2x - 6.9 in a standard viewing window. Then find each of the following (to one decimal place) using appropriate commands.(A) Intercepts (B) Vertex (C) Maximum or minimum (D)
Solve 7w + 2y = 9w + 11 for w.
Solve Problems 5–7 and graph on a real number line. -1 < -2x + 5 ≤3
Solve 7m + 7k = 9k + 17 for k.
Solve Problems 5–7 and graph on a real number line. 1- x-3 3 VI 1 2
Solve Problems 15–19. k 15 1 5 || k 9
Write an equation of a line with x intercept 6 and y intercept -5. Write the final answer in the form Ax + By = C.
Solve Problems 15–19. 3x + 25 = 5x

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