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Find the future value of an investment in which money is deposited steadily so that $400 per year is being invested at 6%

Question : Find the future value of an investment in which money is deposited steadily so that $400 per year is being invested at 6% : 2163324

Find the producer surplus for the supply curve at the given sales level, x.

61) p = 2x2; x = 1

A) $0.67

B) $4

C) $1.33

D) $1

62) p = x2; x = 4

A) $42.67

B) $12

C) $64

D) $2.67

63) p = x2 + 1; x = 1

A) $0.67

B) -$0.33

C) $1

D) -$1

For a particular commodity, the quantity produced and the unit price are given by the coordinates of the point where the supply and demand curves intersect. Determine the point of intersection for the following supply and demand curves.

64) Demand curve: p = -3x + 7, Supply curve: p = 4x + 1

A) (4, $-5)

B) (-3, $16)

C) ((6/7), $4.43)

D) (- (1/3) , $1.04)

65) Demand curve: p = 9 - 10x, Supply curve: p = 1 + 10x

A) ((2/5), $5.00)

B) (4, $41.00)

C) (- (2/5), -$3.00)

D) ((2/5), $41.00)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

66) Suppose that money is deposited in a savings account at a steady rate of $150 per month. If the account pays 2.5% interest compounded continuously, how much will be in the account at the end of 3 years? Enter your answer in the form a(eb ± c) where b is a real number to three decimal places (no units).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve the problem.

67) Find the future value of an investment in which money is deposited steadily so that $400 per year is being invested at 6%, compounded continuously for 20 years.

A) $28,800.78

B) $92,804.68

C) $22,134.11

D) $15,467.45

68) Find the future value of an investment in which money is deposited steadily so that $1000 per year is being invested at 5.5%, compounded continuously for 40 years.

A) $182,272.97

B) $145,909.34

C) $802,501.35

D) $164,091.15

69) Calculate the present value of a continuous income stream of $500 per year for 10 years at an interest rate of 4% compounded continuously.

A) $20,879.00

B) $8379.00

C) $6147.81

D) $4121.00

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

70) A region is bounded above by the graph of y = x-2 and below by the x-axis on the interval from x = 1 to x = 3. Find the volume of the solid of revolution generated by revolving the region about the x-axis.

Enter your answer as a reduced quotient of form (ab/c).

71) A region is bounded by the graph of y = x3, the y-axis, and the horizontal line y = 1. Find the volume of the solid of revolution generated by revolving the region about the x-axis.

Enter your answer as a reduced quotient in form (ab/c).

72) A region is bounded above by the graph of y = x - x3 and below by the x-axis on the interval from x = 0 to x = 1. Find the volume of the solid of revolution generated by revolving the region about the x-axis. Enter your answer as a reduced quotient of form (ab/c).

73) Find the volume of the solid of revolution generated by revolving the region formed by the graphs of y = x2, y = 2, and x = 0 about the x-axis.

Enter a reduced quotient (ab√(c)/d).

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the volume generated by revolving about the x-axis the region bounded by the following graph.

74) y = x, x = 2, x = 4

A) (2/3)π

B) 6π

C) 10π

D) (56/3)π

75) y = √(x), x = 0, x = 4

A) 2π

B) (16/3)π

C) 8π

D) 4π

76) y = x2, x = 0, x = 5

A) (625/4)π

B) (125/3)π

C) (3125/4)π

D) 625π

77) y = ex, x = -2, x = 2

A) (π/2)(e2 - e-2)

B) π2(e2 - e-2)

C) (π/2)(e4 - e-4)

D) π(e4 - e-4)

78) y = x + 2, x = -2, x = 4

A) 72π

B) 36π

C) 16π

D) 3π

79) y = √(25 - x2), x = 0, x = 5

A) (250/3)π

B) 10π

C) (500/3)π

D) 100π

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

80) For the Riemann sum, [5√(1.4) + 5√(1.8) + 5√(2.2) + 5√(2.6) + 5√(3)](0.4); a = 1, determine n, b, and f(x).

Enter your answer as just n, b, f(x) (2 integers in that order separated by commas and followed by a power function in x).

81) For the Riemann sum, [(3.5)4 + 7(3.5) + (4)4 + 7(4) + (4.5)4 + 7(4.5) + (5)4 + 7(5)](0.5); a = 3, find n, b, and f(x).

Enter your answer as just n, b, f(x) (2 integers in that order separated by commas and followed by a polynomial in x).

Solution
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