Answer Key
783
99 . True; n =3 101 . False; f ( x ) = x b , where b is a real-valued constant, is a power function 103 . a. V ( t ) =−2733 t +20500 b. (0, 20, 500) means that the initial purchase price of the equipment is $20,500; (7.5, 0) means that in 7.5 years the computer equipment has no value. c. $6835 d. In approximately 6.4 years 105 . a. C =0.75 x +125 b. $245 c. 167 cupcakes 107 . a. V ( t ) =−1500 t +26,000 b. In 4 years, the value of the car is $20,000. 109 . $30,337.50 111 . 96% of the total capacity 113 . 4 π 3 rad 115 . − π 3 117 . 11 π 6 rad 119 . 210° 121 . −540°
123 . −0.5 125 . − 2 2 127 . 3−1 2 2 129 . a. b =5.7 b. sin A = 4
7 , cos , cot A = 5.7 4 131 . a. c =151.7 b. sin A = 0.5623, cos A = 0.8273, tan A = 0.6797, csc A = 1.778, sec A = 1.209, cot A =1.471 133 . a. c =85 b. sin A = 84 85 , cos A = 13 85 , tan A = 84 13 , csc A = 85 84 , sec A = 85 13 , cot A = 13 84 135 . a. y = 24 25 b. sin θ = 24 25 , cos θ = 7 25 , tan θ = 24 7 , csc θ = 25 24 , sec θ = 25 7 , cot θ = 7 24 137 . a. x = − 2 3 b. sin θ = 7 3 , cos θ = − 2 3 , tan θ = − 14 2 , csc θ = 3 7 7 , sec θ = −3 2 2 , cot θ = − 14 7 A = 5.7 7 , tan A = 4 5.7 , csc A = 7 4 , sec A = 7 5.7
139 . sec 2 x 141 . sin 2 x 143 . sec 2 θ 145 . 1 sin t
=csc t
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