{"id":11023,"date":"2017-10-09T04:10:00","date_gmt":"2017-10-08T21:10:00","guid":{"rendered":"https:\/\/example.com\/?p=11023"},"modified":"2023-12-19T08:37:25","modified_gmt":"2023-12-19T01:37:25","slug":"pertumbuhan-dan-peluruhan-matematika","status":"publish","type":"post","link":"https:\/\/staging-blog.sirogu.com\/blog\/pertumbuhan-dan-peluruhan-matematika","title":{"rendered":"Pertumbuhan dan Peluruhan Matematika | Matematika Kelas 12"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Header%20blog%20RG\/Matematika_12.jpg\" alt=\"Matematika Kelas 12 : Pertumbuhan dan Peluruhan Matematika\"><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\"><span style=\"color: #000000;\">RG&nbsp;Squad, setiap tahunnya pertumbuhan penduduk di dunia semakin tak terkendali. Pertumbuhan ini menyebabkan kepadatan di wilayah perumahan, bahkan lalu lintas. Lantas, apa hubungannya dengan bahasan kali ini ya? <i><span style=\"font-weight: 400;\">Nah, <\/span><\/i><span style=\"font-weight: 400;\">kali ini kalian akan belajar mengenai <\/span>pertumbuhan dalam matematika. Selain itu, kalian juga belajar tentang peluruhan. Memangnya, apa <i>sih<\/i> pertumbuhan dan peluruhan matematika itu?<\/span> <\/span><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><!--more--><\/p>\n<h2 style=\"font-size: 16px;\"><span style=\"color: #000080;\"><strong style=\"background-color: transparent;\">1. Pertumbuhan<\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><strong>Pertumbuhan merupakan kenaikan atau pertambahan nilai suatu besaran terhadap besaran sebelumnya.<\/strong><span style=\"font-weight: 400;\"> Peristiwa yang termasuk dalam pertumbuhan adalah pertambahan penduduk dan perhitungan bunga majemuk di bank.&nbsp;<\/span><span style=\"font-weight: 400;\"><strong>Terdapat dua jenis pertumbuhan, yaitu<\/strong> <\/span><strong style=\"background-color: transparent;\">pertumbuhan eksponensial dan pertumbuhan linier.<\/strong><\/p>\n<p style=\"text-align: center;\"><strong><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/01-4.jpg\" alt=\"rumus pertumbuhan matematika\" style=\"width: 640px;\" title=\"pertumbuhan dan peluruhan matematika\" caption=\"false\" data-constrained=\"true\" width=\"640\"><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Contoh:<\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Banyak penduduk kota A setiap tahun meningkat 2% secara eksponensial dari tahun sebelumnya. Tahun 2013 penduduk di kota A sebanyak 150.000 orang. Hitung banyak penduduk pada tahun 2014 dan 2023!<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Jawab:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Capture.png\" alt=\"Capture.png\" width=\"237\" height=\"35\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Banyak penduduk pada tahun 2014 (artinya 1 tahun setelah 2013, maka n = 1):<span style=\"font-weight: 400;\"><br \/><\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Capture-1.png\" alt=\"Capture-1.png\" width=\"174\" height=\"168\"><\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Banyak penduduk pada tahun 2023 (n=2023-2013=10):<span style=\"font-weight: 400;\"><br \/><\/span><\/span><\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/pertumbuhan.png\" alt=\"pertumbuhan\" style=\"width: 284px;\" title=\"pertumbuhan\" caption=\"false\" data-constrained=\"true\" width=\"284\"><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/funfact.jpg\" alt=\"pertumbuhan dan peluruhan matematika\" style=\"width: 600px;\" title=\"pertumbuhan dan peluruhan matematika\" caption=\"false\" data-constrained=\"true\" width=\"600\"><\/span><\/span><\/span><\/p>\n<h2 style=\"text-align: justify; font-size: 16px;\"><span style=\"color: #000080;\"><strong>2. Peluruhan<\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><strong>Peluruhan merupakan penurunan atau pengurangan nilai suatu besaran terhadap nilai besaran sebelumnya.&nbsp;<\/strong><span style=\"background-color: transparent;\">Peristiwa yang termasuk dalam peluruhan (penyusutan) di antaranya adalah peluruhan zat radioaktif dan penurunan harga barang.<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"background-color: transparent;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/ECO-3.png\" style=\"width: 600px;\" caption=\"false\" data-constrained=\"true\" alt=\"rumus peluruhan matematika\" title=\"pertumbuhan dan peluruhan matematika\" width=\"600\"><br \/><\/span><\/p>\n<p><strong>Contoh:<\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Suatu bahan radioaktif yang semula berukuran 125 gram mengalami reaksi kimia sehingga menyusut 12% dari ukuran sebelumnya setiap 12 jam secara eksponensial. Tentukan ukuran bahan radioaktif tersebut setelah 3 hari!<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400; line-height: 1em;\">Jawab:<\/span><\/p>\n<p style=\"text-align: justify; line-height: 1em;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Capture-4.png\" alt=\"Capture-4.png\" width=\"206\" height=\"37\"><\/span><\/p>\n<p style=\"text-align: justify; line-height: 1em;\"><span style=\"font-weight: 400;\">Peluruhan terjadi setiap 12 jam, sehari peluruhan terjadi 2 kali, 3 hari = 72 jam terjadi 6 kali peluruhan.<span style=\"font-weight: 400;\"><br \/><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400; line-height: 1em;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Capture-5.png\" alt=\"Capture-5.png\" width=\"160\" height=\"49\"><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Capture-6.png\" alt=\"Capture-6.png\" width=\"175\" height=\"238\"><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Bagaimana RG Squad? Jadi, kalian sudah bisa <\/span><i><span style=\"font-weight: 400;\">kan<\/span><\/i><span style=\"font-weight: 400;\"> menghitung pertumbuhan dan peluruhan matematika.<\/span><span style=\"font-weight: 400;\"> Pelajari lebih lengkapnya di <a href=\"https:\/\/ruangguru.com\/belajar?utm_medium=referral&amp;utm_source=blog&amp;utm_campaign=pertumbuhan-dan-peluruhan-matematika\" target=\"_blank\" rel=\"noopener\"><strong>ruangbelajar<\/strong><\/a> <em>yuk<\/em>! Ada ribuan video pembelajaran yang seru beserta kumpulan soal untuk kamu<\/span><i><span style=\"font-weight: 400;\"><\/span><\/i><span style=\"font-weight: 400;\">!<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><a href=\"https:\/\/link.ruangguru.com\/blPk\/eaff0eb9\" target=\"_blank\" style=\"text-align: center;\" class=\"rg-cta\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/cta\/1f6a4f8b-0326-42d1-bc9c-111ebb100e56.jpeg\" width=\"650\" height=\"228\" alt=\"ruangbelajar\" \/><\/a><\/span><\/p>\n<p style=\"text-align: left;\"><strong>Sumber Referensi&nbsp;<\/strong><\/p>\n<p style=\"text-align: left;\">Aisyah Y, () Matematika SMK\/MAK. Jakarta: Bumi Aksara<\/p>\n<p style=\"text-align: left;\">&nbsp;<\/p>\n<p style=\"text-align: left;\">&nbsp;<\/p>\n<p style=\"text-align: left;\">&nbsp;<\/p>\n<p style=\"text-align: left;\"><em>Artikel diperbarui 25 Januari 2021<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RG&nbsp;Squad, setiap tahunnya pertumbuhan penduduk di dunia semakin tak terkendali. Pertumbuhan ini menyebabkan kepadatan di wilayah perumahan, bahkan lalu lintas. Lantas, apa hubungannya dengan bahasan kali ini ya? Nah, kali ini kalian akan belajar mengenai pertumbuhan dalam matematika. Selain itu, kalian juga belajar tentang peluruhan. Memangnya, apa sih pertumbuhan dan peluruhan matematika itu?<\/p>\n","protected":false},"author":16,"featured_media":11023,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_knawatfibu_url":["https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Header%20blog%20RG\/Matematika_12.jpg"],"_edit_last":["1"],"_edit_lock":["1702949845:1"]},"categories":[467,476],"tags":[10,307,37],"class_list":["post-11023","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","category-matematika-sma-kelas-12","tag-konsep-pelajaran","tag-matematika-xii","tag-sma"],"aioseo_notices":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Pertumbuhan dan Peluruhan Matematika | Matematika Kelas 12 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru<\/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:\/\/staging-blog.sirogu.com\/blog\/pertumbuhan-dan-peluruhan-matematika\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pertumbuhan dan Peluruhan Matematika | Matematika Kelas 12 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru\" \/>\n<meta property=\"og:description\" content=\"RG&nbsp;Squad, setiap tahunnya pertumbuhan penduduk di dunia semakin tak terkendali. Pertumbuhan ini menyebabkan kepadatan di wilayah perumahan, bahkan lalu lintas. Lantas, apa hubungannya dengan bahasan kali ini ya? Nah, kali ini kalian akan belajar mengenai pertumbuhan dalam matematika. Selain itu, kalian juga belajar tentang peluruhan. 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Pertumbuhan ini menyebabkan kepadatan di wilayah perumahan, bahkan lalu lintas. Lantas, apa hubungannya dengan bahasan kali ini ya? Nah, kali ini kalian akan belajar mengenai pertumbuhan dalam matematika. Selain itu, kalian juga belajar tentang peluruhan. 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