{"id":94103,"date":"2017-01-11T08:28:14","date_gmt":"2017-01-11T10:28:14","guid":{"rendered":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/?p=94103"},"modified":"2026-05-26T16:19:23","modified_gmt":"2026-05-26T18:19:23","slug":"juros-simples","status":"publish","type":"post","link":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/matematica\/juros-simples","title":{"rendered":"Juros Simples"},"content":{"rendered":"<p><b>Juros Simples &#8211;<\/b>\u00a0<strong>O que s\u00e3o<\/strong><\/p>\n<p>O\u00a0<b>juro simples<\/b>\u00a0\u00e9 um m\u00e9todo r\u00e1pido para calcular onde o valor extra (juros) incide apenas sobre o capital inicial ao longo do tempo. Ele \u00e9 muito usado em empr\u00e9stimos de curto prazo e credi\u00e1rios, durante um per\u00edodo espec\u00edfico, sem capitaliza\u00e7\u00e3o.<\/p>\n<p>O m\u00e9todo de juros simples \u00e9 o c\u00e1lculo de acr\u00e9scimo onde a taxa incide apenas sobre o valor inicial (capital) em cada per\u00edodo. Ele \u00e9 usado para opera\u00e7\u00f5es de curto prazo. Os juros n\u00e3o se acumulam, mantendo-se constantes.<\/p>\n<p>O regime de\u00a0<strong>juros simples<\/strong>\u00a0ocorre quando a taxa de juros \u00e9 aplicada diretamente sobre o valor da d\u00edvida ou aplica\u00e7\u00e3o.<\/p>\n<p>Para calcul\u00e1-lo, vamos definir as vari\u00e1veis\u00a0<strong>j<\/strong>\u00a0para juros,\u00a0<strong>C<\/strong>\u00a0para capital inicial,\u00a0<strong>i<\/strong>\u00a0para a taxa,\u00a0<strong>t<\/strong>\u00a0para o tempo de aplica\u00e7\u00e3o e\u00a0<strong>M<\/strong>\u00a0para o montante.<\/p>\n<p><b>Ent\u00e3o, para obter o montante, fazemos:<\/b><\/p>\n<p><strong>M = C + j<\/strong><\/p>\n<p class=\"normal\"><b>O c\u00e1lculo de juros simples se d\u00e1 por:<\/b><\/p>\n<p><strong>j = C * i * t<\/strong><\/p>\n<p><b>Juntando ambas as f\u00f3rmulas, podemos verificar:<\/b><\/p>\n<p><strong>M = C * (1 +\u00a0 i * t )<\/strong><\/p>\n<p><b>Exemplos<\/b><\/p>\n<p><strong>Exemplo 1)\u00a0<\/strong>Calcule os juros aplicados para um capital inicial de R$1000,00 sobre uma taxa de 5% por m\u00eas por 3 anos.<\/p>\n<p>Vamos recorrer \u00e0 f\u00f3rmula de juros que define\u00a0<strong>j = C * i * t<\/strong><\/p>\n<p><strong>C\u00a0<\/strong>= 1000<br \/>\n<strong>i\u00a0<\/strong>= 5\/100<br \/>\n<strong>t\u00a0<\/strong>= 3 * 12 = 36<br \/>\n<strong>j\u00a0<\/strong>= 1000 * (5\/100) * 36 = 1800<\/p>\n<p>Juros\u00a0\u00a0<strong>j\u00a0<\/strong>= 1800 reais<\/p>\n<p><strong>Exemplo 2)\u00a0<\/strong>Calcule o montante final para um capital inicial de R$500,00 aplicados por 10 anos a uma taxa de 2,5% ao m\u00eas.<\/p>\n<p><b>Utilizando as f\u00f3rmulas, de modo a substituir o valor de juros no montante, temos que:<\/b><\/p>\n<p><strong>M = C + j<br \/>\nj = C * i * t<br \/>\nM = C + C * i * t = C * (1 +\u00a0 i * t )<\/strong><\/p>\n<p>Com os valores dados,<br \/>\n<strong>C\u00a0<\/strong>= 500<br \/>\n<strong>i\u00a0<\/strong>= 2,5\/100<br \/>\n<strong>t\u00a0<\/strong>= 10*12 = 120<br \/>\n<strong>M<\/strong>\u00a0= 500 * (1 + 0,025*120) = 500 (1 + 3) = 2000<\/p>\n<p>Montante\u00a0<strong>M<\/strong>\u00a0= 2000 reais<\/p>\n<p><strong>Exemplo 3)\u00a0<\/strong>Quantos anos devemos investir a uma taxa de 0,25% de juros ao m\u00eas para que o montante final seja o dobro do valor inicial?<\/p>\n<p>Para que tenhamos o dobro do valor inicial,\u00a0<strong>M<\/strong>\u00a0= 2*<strong>C<\/strong>, para que isto ocorra, temos que fazer (1+\u00a0<strong>i<\/strong>*<strong>t<\/strong>) = 2, ou seja,\u00a0<strong>i<\/strong>*<strong>t<\/strong>\u00a0= 1<\/p>\n<p>Usando os valores do exerc\u00edcio,<br \/>\n<strong>i\u00a0<\/strong>= 0,25\/100<br \/>\n<strong>t<\/strong>\u00a0= 100\/0,25 =\u00a0 400 meses<\/p>\n<p>O tempo obtido equivale a 33 anos e quatro meses.<\/p>\n<p><strong>Fonte:<\/strong>\u00a0Col\u00e9gio S\u00e3o Francisco\/Luisa Boccardo Burini<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Juros Simples &#8211;\u00a0O que s\u00e3o O\u00a0juro simples\u00a0\u00e9 um m\u00e9todo r\u00e1pido para calcular onde o valor extra (juros) incide apenas sobre o capital inicial ao longo do tempo. Ele \u00e9 muito usado em empr\u00e9stimos de curto prazo e credi\u00e1rios, durante um per\u00edodo espec\u00edfico, sem capitaliza\u00e7\u00e3o. O m\u00e9todo de juros simples \u00e9 o c\u00e1lculo de acr\u00e9scimo onde [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[414],"tags":[],"class_list":["post-94103","post","type-post","status-publish","format-standard","hentry","category-matematica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Juros Simples, M\u00e9todo, C\u00e1lculo Juros Simples<\/title>\n<meta name=\"description\" content=\"Juros Simples, M\u00e9todo, C\u00e1lculo, Taxa, Valor, Capital, Aplica\u00e7\u00e3o, Tempo, Exemplo, O que s\u00e3o, Juros Simples\" \/>\n<meta name=\"robots\" content=\"noindex, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta 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