{"id":62,"date":"2020-02-07T15:11:24","date_gmt":"2020-02-07T20:11:24","guid":{"rendered":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/chapter\/4-4-practice-question-answers\/"},"modified":"2023-11-27T14:19:24","modified_gmt":"2023-11-27T19:19:24","slug":"4-4-practice-question-answers","status":"publish","type":"chapter","link":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/chapter\/4-4-practice-question-answers\/","title":{"raw":"4.4. Practice question answers","rendered":"4.4. Practice question answers"},"content":{"raw":"[Latexpage]\n

Chapter 4 practice question answers<\/h1>\n
\n

4.1. Exponential Functions<\/strong><\/p>\n\n<\/header>\n

\n\n1.<\/strong> \u2248 23.2%\n\n2.<\/strong> B(t) is growing faster, but after 3 years A(t) still has a higher account balance.\n\n3.<\/strong> 401.0071 , or about 401 people.\n\n4.<\/strong> \\$4048.06<\/span>\n\n5.<\/strong>\u00a0 \u2248 950 ants\n\n6.<\/strong>\u00a0 \u2248 0.59 cents\n\n<\/div>\n<\/div>\n \n
\n

4.2. Logarithmic Functions<\/strong><\/p>\n\n<\/header>\n

\n\n1.<\/strong> log4<\/sub>(16) = 2\n\n2.<\/strong> 6\n\n3.<\/strong> -2ln(x)\n\n4.<\/strong> $\\frac{\\ln(2)}{\\ln(0.93)}\\approx-9.5513$\n\n5.<\/strong> 5\n\n6.<\/strong> -3\n\n7.<\/strong> \u2248 10.8, or nearly 11 years.\n\n<\/div>\n<\/div>\n \n
\n

4.3. Exponential and Logarithmic Models<\/strong><\/p>\n\n<\/header>\n

\n\n1.<\/strong> \u2248 4.1874 weeks.\n\n2. <\/strong>\u2248 11.68 years.\n\n3.<\/strong> \u2248 229.32, or approximately 229 years.\n\n4. a.\u00a0<\/strong>99.7%\n\n\u00a0 \u00a0 b.\u00a0<\/strong>97.2%\n\n\u00a0 \u00a0 c.\u00a0<\/strong>74.9%\n\n5.<\/strong> 10.845, or approximately 11 years.<\/span>\n\n6.<\/strong> \u2248 9.9%.\n\n<\/div>\n<\/div>\n ","rendered":"

Chapter 4 practice question answers<\/h1>\n
\n
\n

4.1. Exponential Functions<\/strong><\/p>\n<\/header>\n

\n

1.<\/strong> \u2248 23.2%<\/p>\n

2.<\/strong> B(t) is growing faster, but after 3 years A(t) still has a higher account balance.<\/p>\n

3.<\/strong> 401.0071 , or about 401 people.<\/p>\n

4.<\/strong> $4048.06<\/span><\/p>\n

5.<\/strong>\u00a0 \u2248 950 ants<\/p>\n

6.<\/strong>\u00a0 \u2248 0.59 cents<\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

\n
\n

4.2. Logarithmic Functions<\/strong><\/p>\n<\/header>\n

\n

1.<\/strong> log4<\/sub>(16) = 2<\/p>\n

2.<\/strong> 6<\/p>\n

3.<\/strong> -2ln(x)<\/p>\n

4.<\/strong> \"\frac{\ln(2)}{\ln(0.93)}\approx-9.5513\"<\/p>\n

5.<\/strong> 5<\/p>\n

6.<\/strong> -3<\/p>\n

7.<\/strong> \u2248 10.8, or nearly 11 years.<\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

\n
\n

4.3. Exponential and Logarithmic Models<\/strong><\/p>\n<\/header>\n

\n

1.<\/strong> \u2248 4.1874 weeks.<\/p>\n

2. <\/strong>\u2248 11.68 years.<\/p>\n

3.<\/strong> \u2248 229.32, or approximately 229 years.<\/p>\n

4. a.\u00a0<\/strong>99.7%<\/p>\n

\u00a0 \u00a0 b.\u00a0<\/strong>97.2%<\/p>\n

\u00a0 \u00a0 c.\u00a0<\/strong>74.9%<\/p>\n

5.<\/strong> 10.845, or approximately 11 years.<\/span><\/p>\n

6.<\/strong> \u2248 9.9%.<\/p>\n<\/div>\n<\/div>\n

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