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April 17, 2014

April 17, 2014

Posted by **Holly** on Tuesday, May 21, 2013 at 1:29pm.

51. Solve:

125=(x3)/0.3^-3

a.7

b.14

c.15

d.9

53. 49x-2 = 7Ö 7

a.-5/4

b.5/4

c.11/4

d.-11/4

60. Simplify:

2log^3 6 - log^3 4

a.3

b.6

c.4

d.2

61. Solve the equation:

logb (x^2 + 7) = 2/3logb 64

a.9

b.3

c. √23

d. ±3

62. Solve:

(The fifth root of x) divided by 9, is equal to 7

no multiple answers available.

66. ln 1/√e

a. -√e

b.-1/2

c.1/e

d.1/2

67. Solve:

e3x = 8

a. In 5/ In 8

b. 3 In 8/ In 3

c. In 8/ 3

d. In 3/ 8

68. Solve:

1/ex = 7

a. In^1/7

b. In 1/7

c. In^7

d. In 7

69. Solve:

3e2x + 2 = 50

a. In 8

b.In 0.25

c.In 14

d. 0.5In 16

70. Solve:

|ln x| = 1

no multiple answers available.

71. Determine if the sequence is geometric, arithmetic, both, or neither: 256, 64, 16, 4, ...

a. Geometric

b. Arithmetic

c. Both

d. Neither

72. Determine if the sequence is arithmetic, geometric, both, or neither:

1/12, 2/13, 3/13, 4/14, ...

a. Geometric

b. Arithmetic

c. Both

d. Neither

73. Find the first four terms of the sequence:

tn = 2n + 1

a. 3; 5; 7; 9

b. 1; 3; 5; 7

c. 9; 11; 13; 15

d. 15; 17; 19; 21

74. Find the next two terms using the pattern in the difference between terms for the sequence:

24, 23, 21, 17, 9, ...

a. -7, -39

b. -3, -15

c. -11, -37

d. -2, -13

75. Find the next two terms using the pattern in the difference between terms for the sequence:

1, 2, 6, 15, 31, ...

a. 63, 127

b. 72, 114

c. 56, 92

d. 44, 73

76. Find the arithmetic mean for the pair of numbers:

2.3, 9.1

a. 10.47

b. 6.3

c. 5.7

d. 8.4

77. Choose a formula for the nth term of the sequence:

a^2/2, a^4/4, a^6/8, ...

a. a^2n/2^n

b. a^2n/2n

c. a^2n/2+n

d.2^n/a

78. A house purchased last year for $80,000 is now worth $96,000. Assuming that the value of the house continues to appreciate (increase) at the same rate each year, find the value 2 years from now.

no multiple answers available.

- Math -
**Henry**, Wednesday, May 22, 2013 at 8:13pm51. X^3/0.3^-3 = 125

0.3^3X^3 = 125

X^3 = 125/0.3^3

X^3 = 5^3/0.3^3

X = 5/0.3

X = 16.66666667.

67. e^3x = 8

3xLne = Ln8

3x*1 = Ln8

X = Ln8/3.

68. 1/e^x = 7

e^x = 1/7

x*Ln e = Ln 1/7

x*1 = Ln 1/7

X = Ln 1/7.

69. 3e2x+2 = 50

6ex = 48

X = 48/6e = 8/e = 2.943

70. |Ln x| = 1

Ln x = 1

X = e^1 = e = 2.7182.

78. Increase = 96000-80,000 = $16,000

%Increase = (16000/80000)*100%=20%/yr.

V = 80000(1+0.2)^3 = $138,240.

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