{"id":4774,"date":"2022-09-02T14:25:19","date_gmt":"2022-09-02T12:25:19","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/slovni-ulohy-priklad-6-trojclenka\/"},"modified":"2022-09-02T14:25:19","modified_gmt":"2022-09-02T12:25:19","slug":"slovni-ulohy-priklad-6-trojclenka","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/slovni-ulohy-priklad-6-trojclenka\/","title":{"rendered":"Slovn\u00ed \u00falohy &#8211; p\u0159\u00edklad 6 (troj\u010dlenka)"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed:<\/strong> <strong>Ke ka\u017ed\u00e9 \u00faloze p\u0159i\u0159a\u010fte spr\u00e1vn\u00fd v\u00fdsledek.<\/strong><br \/>1) Petr m\u00e1 270 K\u010d. Karel m\u00e1 o polovinu m\u00e9n\u011b. Kolik K\u010d maj\u00ed p\u00e1nov\u00e9 dohromady?<br \/>2) Do banky byl vlo\u017eeno 50 500 K\u010d na 2 roky. \u00darokov\u00e1 sazba za rok \u010din\u00ed 0,5 %, \u00faroky se zda\u0148uj\u00ed 15 % a na \u00fa\u010det se p\u0159ipisuj\u00ed v\u017edy na konci roku. Kolik K\u010d p\u0159ibyde ke vkladu za 2 roky? (Zaokrouhlete na cel\u00e9 \u010d\u00edslo)<br \/>3) Star\u00e1 po\u0161tovn\u00ed zn\u00e1mka za posledn\u00ed rok zvedla svou cenu 2x a to v\u017edy o 25% z p\u0159ede\u0161l\u00e9 ceny. Nyn\u00ed by V\u00e1s p\u0159i\u0161la na 750 K\u010d. Kolik st\u00e1la p\u0159ed rokem?<br \/>&nbsp; <br \/>Mo\u017en\u00e9 odpov\u011bdi:<br \/>A) M\u00e9n\u011b ne\u017e 400 K\u010d<br \/>B) 430 K\u010d<br \/>C) 450 K\u010d<br \/>D) 480 K\u010d<br \/>E) jin\u00fd po\u010det korun<\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p><b>P\u0159\u00edklad 1<\/b><\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">1) Pom\u011brem vypo\u010d\u00edt\u00e1me kolik K\u010d m\u00e1 Karel:<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">Petr &#8230;. 270 K\u010d Karel .. 270 : 1,5 = 180 K\u010d<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">2) Finan\u010dn\u00ed obnos Petra a Karla se\u010dteme:<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">270 + 180 = 450 K\u010d<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\"><b>Spr\u00e1vn\u011b je mo\u017enost (C)<\/b><\/p>\n<p style=\"text-align: left\" data-mce-style=\"text-align: left;\">&nbsp; <b>P\u0159\u00edklad 2<\/b><\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">1) Nejd\u0159\u00edve vypo\u010d\u00edt\u00e1me \u00farok:<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">u= 50 500 \u00b7 0,005 = 252,5 K\u010d<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">2) Nyn\u00ed vypo\u010d\u00edt\u00e1me \u00farok s 15% zdan\u011bn\u00edm (za 1 rok):<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">252,5 \u00b7 0,85 = 214,625 K\u010d<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">3) Za dva roky bude na \u00fa\u010det p\u0159i\u010dteno (vypo\u010d\u00edt\u00e1me \u010d\u00e1stku po zdan\u011bn\u00ed na 2 roky):<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">p = 2 \u00b7 x<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">p = 2 \u00b7&nbsp;214,625&nbsp;<span style=\"font-family: Cambria Math, serif\">\u2250<\/span> 430 K\u010d<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\"><b>Spr\u00e1vn\u011b je mo\u017enost (B)<\/b><\/p>\n<p style=\"text-align: left\" data-mce-style=\"text-align: left;\">&nbsp; <b>P\u0159\u00edklad 3<\/b><\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">1) Nejd\u0159\u00edve vypo\u010d\u00edt\u00e1me, kolik st\u00e1la zn\u00e1mka po prvn\u00ed slev\u011b:<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">750 &#8230;&#8230;.. 125 % y &#8230;&#8230;&#8230;&#8230; 100 %<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">$$y = \\frac{100}{125}750$$<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">$$y = 600$$<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">2) Nyn\u00ed m\u016f\u017eeme po\u010d\u00edtat, jak\u00e1 byla cena zn\u00e1mky p\u0159ed rokem:<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">600 &#8230;.. 125 % y &#8230;&#8230;&#8230;. 100 %<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">$$y = \\frac{100}{125}600$$<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">$$y = 480 K\u010d$$<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\"><b>Spr\u00e1vn\u011b je mo\u017enost (D)<\/b><\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">\u010casov\u00e1 n\u00e1ro\u010dnost: 7-8 minut<\/p>\n<p align=\"center\" style=\"text-align: left\" data-mce-style=\"text-align: left;\">Jedn\u00e1 se o p\u0159\u00edklad z maturitn\u00edho testu.<\/p>\n","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-4774","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Slovn\u00ed \u00falohy - p\u0159\u00edklad 6 (troj\u010dlenka) | Studijni-svet.cz<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/slovni-ulohy-priklad-6-trojclenka\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Slovn\u00ed \u00falohy - p\u0159\u00edklad 6 (troj\u010dlenka) | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed: Ke ka\u017ed\u00e9 \u00faloze p\u0159i\u0159a\u010fte spr\u00e1vn\u00fd v\u00fdsledek.1) Petr m\u00e1 270 K\u010d. 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Karel m\u00e1 o polovinu m\u00e9n\u011b. Kolik K\u010d maj\u00ed p\u00e1nov\u00e9 dohromady?2) Do banky byl vlo\u017eeno 50 500 K\u010d na 2 roky. \u00darokov\u00e1 sazba za rok \u010din\u00ed 0,5 %, \u00faroky se zda\u0148uj\u00ed 15 % a na \u00fa\u010det se p\u0159ipisuj\u00ed v\u017edy na konci roku. Kolik K\u010d p\u0159ibyde ... 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