{"id":1846,"date":"2019-08-15T16:57:03","date_gmt":"2019-08-15T20:57:03","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1846"},"modified":"2019-08-15T17:35:10","modified_gmt":"2019-08-15T21:35:10","slug":"answer-key-11-6","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-11-6\/","title":{"raw":"Answer Key 11.6","rendered":"Answer Key 11.6"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \r\n
      \r\n \t
    1. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nA&=&\\text{find}\\hspace{0.25in} P=\\$500\\hspace{0.25in} r=0.04\\hspace{0.25in} n=1 \\hspace{0.25in} t=10 \\\\ \\\\\r\nA&=&500\\left(1+\\dfrac{0.04}{1}\\right)^{10} \\\\ \\\\\r\nA&=&500(1.04)^{10} \\\\ \\\\\r\nA&=&\\$740.12\r\n\\end{array}\\)<\/li>\r\n \t
    2. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nA&=&\\text{find}\\hspace{0.25in} P=\\$600\\hspace{0.25in} r=0.06\\hspace{0.25in} n=1 \\hspace{0.25in} t=6 \\\\ \\\\\r\nA&=&600\\left(1+\\dfrac{0.06}{1}\\right)^6 \\\\ \\\\\r\nA&=&600(1.06)^6 \\\\ \\\\\r\nA&=&\\$851.11\r\n\\end{array}\\)<\/li>\r\n \t
    3. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nA&=&\\text{find}\\hspace{0.25in} P=\\$750\\hspace{0.25in} r=0.03\\hspace{0.25in} n=1 \\hspace{0.25in} t=8 \\\\ \\\\\r\nA&=&750\\left(1+\\dfrac{0.03}{1}\\right)^8 \\\\ \\\\\r\nA&=&750(1.03)^8 \\\\ \\\\\r\nA&=&\\$950.08\r\n\\end{array}\\)<\/li>\r\n \t
    4. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nA&=&\\text{find}\\hspace{0.25in} P=\\$1500\\hspace{0.25in} r=0.04\\hspace{0.25in} n=2 \\hspace{0.25in} t=7 \\\\ \\\\\r\nA&=&1500\\left(1+\\dfrac{0.04}{2}\\right)^{14} \\\\ \\\\\r\nA&=&1500(1.02)^{14} \\\\ \\\\\r\nA&=&\\$1979.22\r\n\\end{array}\\)<\/li>\r\n \t
    5. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nA&=&\\text{find}\\hspace{0.25in} P=\\$900\\hspace{0.25in} r=0.06\\hspace{0.25in} n=2 \\hspace{0.25in} t=5 \\\\ \\\\\r\nA&=&900\\left(1+\\dfrac{0.06}{2}\\right)^{10} \\\\ \\\\\r\nA&=&900(1.03)^{10} \\\\ \\\\\r\nA&=&\\$1209.52\r\n\\end{array}\\)<\/li>\r\n \t
    6. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nA&=&\\text{find}\\hspace{0.25in} P=\\$950\\hspace{0.25in} r=0.04\\hspace{0.25in} n=2 \\hspace{0.25in} t=12 \\\\ \\\\\r\nA&=&950\\left(1+\\dfrac{0.04}{2}\\right)^{24} \\\\ \\\\\r\nA&=&950(1.02)^{24} \\\\ \\\\\r\nA&=&\\$1528.02\r\n\\end{array}\\)<\/li>\r\n \t
    7. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nA&=&\\text{find}\\hspace{0.25in} P=\\$2000\\hspace{0.25in} r=0.05\\hspace{0.25in} n=4 \\hspace{0.25in} t=6 \\\\ \\\\\r\nA&=&2000\\left(1+\\dfrac{0.05}{4}\\right)^{24} \\\\ \\\\\r\nA&=&2000(1.0125)^{24} \\\\ \\\\\r\nA&=&\\$2694.70\r\n\\end{array}\\)<\/li>\r\n \t
    8. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nA&=&\\text{find}\\hspace{0.25in} P=\\$2250\\hspace{0.25in} r=0.04\\hspace{0.25in} n=4 \\hspace{0.25in} t=9 \\\\ \\\\\r\nA&=&2250\\left(1+\\dfrac{0.04}{4}\\right)^{36} \\\\ \\\\\r\nA&=&2250(1.01)^{36} \\\\ \\\\\r\nA&=&\\$3219.23\r\n\\end{array}\\)<\/li>\r\n \t
    9. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nA&=&\\text{find}\\hspace{0.25in} P=\\$3500\\hspace{0.25in} r=0.06\\hspace{0.25in} n=4 \\hspace{0.25in} t=12 \\\\ \\\\\r\nA&=&3500\\left(1+\\dfrac{0.06}{4}\\right)^{48} \\\\ \\\\\r\nA&=&3500(1.015)^{48} \\\\ \\\\\r\nA&=&\\$7152.17\r\n\\end{array}\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
    10. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\\r\nA&=&\\$10,000\\left(1+\\dfrac{0.04}{4}\\right)^{40} \\\\ \\\\\r\nA&=&\\$10,000(1.01)^{40} \\\\ \\\\\r\nA&=&\\$14,888.64\r\n\\end{array}\\)<\/li>\r\n \t
    11. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\\r\nA&=&\\$27,500\\left(1+\\dfrac{0.06}{12}\\right)^{12(9)} \\\\ \\\\\r\nA&=&\\$27,500(1.005)^{108} \\\\ \\\\\r\nA&=&\\$47,126.74\r\n\\end{array}\\)<\/li>\r\n \t
    12. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\\r\nA&=&\\$55,000\\left(1+\\dfrac{0.10}{12}\\right)^{18} \\\\ \\\\\r\nA&=&\\$55,000(1.008\\bar{3})^{18} \\\\ \\\\\r\nA&=&\\$63,861.18\r\n\\end{array}\\)<\/li>\r\n \t
    13. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n\\$20,000&=&P\\left(1+\\dfrac{0.06}{2}\\right)^{10} \\\\ \\\\\r\nP&=&\\dfrac{\\$20,000}{(1.03)^{10}} \\\\ \\\\\r\nP&=&\\$14,881.88\r\n\\end{array}\\)<\/li>\r\n \t
    14. \\(\\begin{array}{rrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n\\$4200&=&P\\left(1+\\dfrac{0.04}{4}\\right)^{4(5)} \\\\ \\\\\r\nP&=&\\dfrac{\\$4200}{(1.01)^{20}} \\\\ \\\\\r\nP&=&\\$3442.09\r\n\\end{array}\\)<\/li>\r\n<\/ol>","rendered":"
        \n
      1. \n
          \n
        1. \"\begin{array}{rrl}<\/li>\n
        2. \"\begin{array}{rrl}<\/li>\n
        3. \"\begin{array}{rrl}<\/li>\n
        4. \"\begin{array}{rrl}<\/li>\n
        5. \"\begin{array}{rrl}<\/li>\n
        6. \"\begin{array}{rrl}<\/li>\n
        7. \"\begin{array}{rrl}<\/li>\n
        8. \"\begin{array}{rrl}<\/li>\n
        9. \"\begin{array}{rrl}<\/li>\n<\/ol>\n<\/li>\n
        10. \"\begin{array}{rrl}<\/li>\n
        11. \"\begin{array}{rrl}<\/li>\n
        12. \"\begin{array}{rrl}<\/li>\n
        13. \"\begin{array}{rrl}<\/li>\n
        14. \"\begin{array}{rrl}<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":107,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1846","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1846","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/727"}],"version-history":[{"count":3,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1846\/revisions"}],"predecessor-version":[{"id":1849,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1846\/revisions\/1849"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1846\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1846"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1846"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1846"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1846"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}