{"id":431,"date":"2015-10-26T18:25:01","date_gmt":"2015-10-26T18:25:01","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&#038;p=431"},"modified":"2015-11-12T18:37:59","modified_gmt":"2015-11-12T18:37:59","slug":"solutions-to-selected-exercises-3","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/chapter\/solutions-to-selected-exercises-3\/","title":{"raw":"Solutions to Selected Exercises","rendered":"Solutions to Selected Exercises"},"content":{"raw":"<h2>Solutions to Try Its<\/h2>\r\n1.\u00a011 and 25\r\n\r\n2.\u00a0[latex]C=2.5x+3,650[\/latex]\r\n\r\n3.\u00a045 mi\/h\r\n\r\n4.\u00a0[latex]L=37[\/latex] cm, [latex]W=18[\/latex] cm\r\n\r\n5.\u00a0250 ft<sup>2<\/sup>\r\n<h2>Solutions to Odd-Numbered Exercises<\/h2>\r\n1.\u00a0Answers may vary. Possible answers: We should define in words what our variable is representing. We should declare the variable. A heading.\r\n\r\n3.\u00a0[latex]2,000-x[\/latex]\r\n\r\n5.\u00a0[latex]v+10[\/latex]\r\n\r\n7.\u00a0Ann: [latex]23[\/latex]; Beth: [latex]46[\/latex]\r\n\r\n9.\u00a0[latex]20+0.05m[\/latex]\r\n\r\n11.\u00a0300 min\r\n\r\n13.\u00a0[latex]90+40P[\/latex]\r\n\r\n15.\u00a06 devices\r\n\r\n17.\u00a0[latex]50,000-x[\/latex]\r\n\r\n19.\u00a04 h\r\n\r\n21.\u00a0She traveled for 2 h at 20 mi\/h, or 40 miles.\r\n\r\n23.\u00a0$5,000 at 8% and $15,000 at 12%\r\n\r\n25.\u00a0[latex]B=100+.05x[\/latex]\r\n\r\n27.\u00a0Plan A\r\n\r\n29.\u00a0[latex]R=9[\/latex]\r\n\r\n31.\u00a0[latex]r=\\frac{4}{5}[\/latex] or 0.8\r\n\r\n33.\u00a0[latex]W=\\frac{P - 2L}{2}=\\frac{58 - 2\\left(15\\right)}{2}=14[\/latex]\r\n\r\n35.\u00a0[latex]f=\\frac{pq}{p+q}=\\frac{8\\left(13\\right)}{8+13}=\\frac{104}{21}[\/latex]\r\n\r\n37.\u00a0[latex]m=\\frac{-5}{4}[\/latex]\r\n\r\n39.\u00a0[latex]h=\\frac{2A}{{b}_{1}+{b}_{2}}[\/latex]\r\n\r\n41.\u00a0length = 360 ft; width = 160 ft\r\n\r\n43.\u00a0405 mi\r\n\r\n45.\u00a0[latex]A=88\\text{ in}{.}^{2}[\/latex]\r\n\r\n47.\u00a028.7\r\n\r\n49.\u00a0[latex]h=\\frac{V}{\\pi {r}^{2}}[\/latex]\r\n\r\n51.\u00a0[latex]r=\\sqrt{\\frac{V}{\\pi h}}[\/latex]\r\n\r\n53.\u00a0[latex]C=12\\pi [\/latex]","rendered":"<h2>Solutions to Try Its<\/h2>\n<p>1.\u00a011 and 25<\/p>\n<p>2.\u00a0[latex]C=2.5x+3,650[\/latex]<\/p>\n<p>3.\u00a045 mi\/h<\/p>\n<p>4.\u00a0[latex]L=37[\/latex] cm, [latex]W=18[\/latex] cm<\/p>\n<p>5.\u00a0250 ft<sup>2<\/sup><\/p>\n<h2>Solutions to Odd-Numbered Exercises<\/h2>\n<p>1.\u00a0Answers may vary. Possible answers: We should define in words what our variable is representing. We should declare the variable. A heading.<\/p>\n<p>3.\u00a0[latex]2,000-x[\/latex]<\/p>\n<p>5.\u00a0[latex]v+10[\/latex]<\/p>\n<p>7.\u00a0Ann: [latex]23[\/latex]; Beth: [latex]46[\/latex]<\/p>\n<p>9.\u00a0[latex]20+0.05m[\/latex]<\/p>\n<p>11.\u00a0300 min<\/p>\n<p>13.\u00a0[latex]90+40P[\/latex]<\/p>\n<p>15.\u00a06 devices<\/p>\n<p>17.\u00a0[latex]50,000-x[\/latex]<\/p>\n<p>19.\u00a04 h<\/p>\n<p>21.\u00a0She traveled for 2 h at 20 mi\/h, or 40 miles.<\/p>\n<p>23.\u00a0$5,000 at 8% and $15,000 at 12%<\/p>\n<p>25.\u00a0[latex]B=100+.05x[\/latex]<\/p>\n<p>27.\u00a0Plan A<\/p>\n<p>29.\u00a0[latex]R=9[\/latex]<\/p>\n<p>31.\u00a0[latex]r=\\frac{4}{5}[\/latex] or 0.8<\/p>\n<p>33.\u00a0[latex]W=\\frac{P - 2L}{2}=\\frac{58 - 2\\left(15\\right)}{2}=14[\/latex]<\/p>\n<p>35.\u00a0[latex]f=\\frac{pq}{p+q}=\\frac{8\\left(13\\right)}{8+13}=\\frac{104}{21}[\/latex]<\/p>\n<p>37.\u00a0[latex]m=\\frac{-5}{4}[\/latex]<\/p>\n<p>39.\u00a0[latex]h=\\frac{2A}{{b}_{1}+{b}_{2}}[\/latex]<\/p>\n<p>41.\u00a0length = 360 ft; width = 160 ft<\/p>\n<p>43.\u00a0405 mi<\/p>\n<p>45.\u00a0[latex]A=88\\text{ in}{.}^{2}[\/latex]<\/p>\n<p>47.\u00a028.7<\/p>\n<p>49.\u00a0[latex]h=\\frac{V}{\\pi {r}^{2}}[\/latex]<\/p>\n<p>51.\u00a0[latex]r=\\sqrt{\\frac{V}{\\pi h}}[\/latex]<\/p>\n<p>53.\u00a0[latex]C=12\\pi[\/latex]<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-431\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>College Algebra. <strong>Authored by<\/strong>: OpenStax College Algebra. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@3.278:1\/Preface\">http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@3.278:1\/Preface<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":276,"menu_order":6,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"College Algebra\",\"author\":\"OpenStax College Algebra\",\"organization\":\"OpenStax\",\"url\":\"http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@3.278:1\/Preface\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-431","chapter","type-chapter","status-publish","hentry"],"part":209,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/431","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/wp\/v2\/users\/276"}],"version-history":[{"count":4,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/431\/revisions"}],"predecessor-version":[{"id":665,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/431\/revisions\/665"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/parts\/209"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/431\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/wp\/v2\/media?parent=431"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=431"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/wp\/v2\/contributor?post=431"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/wp\/v2\/license?post=431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}