IAT SOLUTIONS - C_7.pdf

Chapter 7, continuedCopyright © by McDougal Littell, a division of Houghton Mifflin Company.b. t nc.Number of breeding pairs0 411 44.6492 48.6233 52.9504 57.6635 62.7956 68.3837 74.4708 81.097n330300270240210180150120906030tYears since 1977n9 88.31510 96.17511 104.73512 114.05613 124.20714 135.26215 147.23016 160.41000 3 6 9 12 15 18 21 24ttn17 174.68618 190.23319 207.16420 225.60121 245.68022 267.54523 291.35724 317.288d. Using the graph, you can estimate that in 2001 (t 5 24),there were about 315 breeding pairs of bald eagles.43. Investing $3000 at 6% annual interest: A 15 3000(1.06) tInvesting $3000 at 8% annual interest: A 25 3000(1.08) tInvesting $6000 at 7% annual interest: A 35 6000(1.07) tx 1 2 3 4A 11 A 26420 6870 7352.18 7868.90A 36420 6869.40 7350.26 7864.78No, A 11 A 2and A 3are not the same. After the first year,the money split between the 6% and 8% accounts growsat a faster rate.44. a. Initial amount 5 5200; final amount 5 9000; numberof years 5 59000 5 5200(1 1 r) 545}26 5 (1 1 r)5 → Î } 45 5 }26 5 1 1 r0.116 ø rThe average annual growth rate was about 11.6%b. y 5 9000(1 1 0.116) 5 5 9000(1.116) 5 ø 15,579.86The cost will be $15,579.86 in 5 more years.47. (0.5) 5 5 (0.5)(0.5)(0.5)(0.5)(0.5) 5 0.0312548. (0.25) 3 5 (0.25)(0.25)(0.25) 5 0.01562549. 1 }1 22 4 5 1 }1 221 }1 221 }1 221 }1 22 5 }1 1650. 1 }3 82 3 5 1 }3 821 }3 821 }3 82 5 }27 51251. 1 }102 7 5 5 1 }102 7 1 }102 7 1 }102 7 1 }102 7 1 }752. 1 }4 52 3 5 1 }4 521 }4 521 }4 52 5 }64 125102 5 }16,807100,00053. x 2 1 7x 2 30 5 (x 1 10)(x 2 3)54. x 2 1 15x 1 54 5 (x 1 9)(x 1 6)55. 2x 2 2 7x 2 30 5 (2x 1 5)(x 2 6)56. 12x 2 2 5x 1 25 cannot be factored57. x 3 2 2x 2 2 3x 1 6 5 x 2 (x 2 2) 2 3(x 2 2)5 (x 2 2 3)(x 2 2)58. x 3 2 64 5 (x 2 4)(x 2 1 4x 1 16)59. x 5 5 3125 60. 3x 3 5 1029x 5 5 x 3 5 343x 5 761. x 7 1 8 5 264 62. (x 1 12) 4 5 52x 7 5 272 (x 1 12) 5 6 Ï 4 } 52x 5 Ï 7 } 272 x 5 2126 Ï 4 } 5263. 25x 6 5 21000 64. (x 2 9) 8 5 17x 6 5 200 x 2 9 5 6 Ï 8 } 17x 5 6 Ï 6 } 200 x 5 96 Ï 8 } 17Lesson 7.27.2 Guided Practice (pp. 487–488)1.y2.3.1f(x)21221 xx4.(21, 4)21(0, 1)21y1y(0, 5)y 51(1, 2)x1( ) x 2 1 4 1 1y 51( 4)Domain: all real numbersRange: y > 1xxMixed Review45. (0.6) 3 5 (0.6)(0.6)(0.6) 5 0.21646. (0.4) 2 5 (0.4)(0.4) 5 0.16Algebra 2Worked-Out Solution Key423