{"id":3709,"date":"2022-02-03T05:37:25","date_gmt":"2022-02-03T05:37:25","guid":{"rendered":"https:\/\/example.com\/?p=3709"},"modified":"2023-09-17T13:18:11","modified_gmt":"2023-09-17T06:18:11","slug":"cara-menghitung-bunga-majemuk","status":"publish","type":"post","link":"https:\/\/staging-blog.sirogu.com\/blog\/cara-menghitung-bunga-majemuk","title":{"rendered":"Rumus Bunga Majemuk dan Cara Menghitungnya | Matematika Kelas 11"},"content":{"rendered":"<p style=\"text-align: center;\"><img decoding=\"async\" style=\"width: 820px; margin-left: auto; margin-right: auto; display: block;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Cara%20Menghitung%20Bunga%20Majemuk%20-%20Matematika%20Kelas%2011-02.jpg\" alt=\"Rumus Bunga Majemuk dan Cara Menghitungnya | Matematika Kelas 11\" width=\"820\" \/><\/p>\n<blockquote>\n<p style=\"font-size: 16px; text-align: center;\"><em>Di artikel ini, kita akan mempelajari salah satu materi dari aplikasi deret aritmatika dan geometri, yakni bunga majemuk. Ayo kita belajar!<\/em><\/p>\n<\/blockquote>\n<p style=\"text-align: center;\">&#8212;<\/p>\n<p style=\"text-align: justify;\"><!--more--><\/p>\n<p style=\"text-align: justify;\"><em>Heyho<\/em> <em>guys!<\/em> Ketika kamu menabung di bank, apakah kamu mendengar istilah-istilah seperti \u201cdeposito\u201d, \u201cbunga\u201d dan lain-lain? Nah mungkin kalian sudah sedikit paham bukan, karena di matematika, kita mempelajari tentang bunga dalam materi aplikasi <a style=\"font-weight: bold;\" href=\"\/blog\/barisan-dan-deret-geometri\" rel=\"noopener\">deret aritmatika dan geometri.<\/a><\/p>\n<p style=\"text-align: justify;\">Nah, jenis-jenis bunga atau pengembangan tabungan itu sendiri ada perbedaannya. Misalnya mengenai <a href=\"https:\/\/www.ruangguru.com\/blog\/cara-menghitung-bunga-tunggal\"><strong>bunga tunggal<\/strong><\/a> yang sudah kalian pelajari sebelumnya.\u00a0 Penghitungan bunga tunggal dihitung dari modal awal, dan tanpa diakumulasikan ke periode-periode berikutnya. Sehingga bunga yang dihasilkan berjumlah sama setiap periodenya.<\/p>\n<p style=\"text-align: justify;\">Nah, berbeda dengan bunga tunggal, jenis bunga lainnya yakni <strong>bunga majemuk <\/strong>punya penghitungan yang berbeda. Penasaran apa bedanya? Simak terus artikel ini ya!<\/p>\n<p style=\"text-align: justify; font-weight: bold;\">Baca juga: <a href=\"\/blog\/matematika-kelas-11-pembuktian-matematika\" rel=\"noopener\">4 Metode Pembuktian Matematika\u00a0<\/a><\/p>\n<p style=\"text-align: justify;\">\n<h2><strong><span style=\"font-size: 20px;\">Bunga Majemuk<\/span><\/strong><\/h2>\n<p style=\"text-align: justify;\"><strong>Bunga majemuk prinsipnya diberikan berdasarkan modal awal dan akumulasi dari bunga periode sebelumnya<\/strong>, sehingga besar bunga setiap periodenya tidak sama. Jadi bisa kita simpulkan Bunga majemuk adalah bunga yang dihitung berdasarkan pokok awal, yang juga mencakup semua bunga akumulasi dari deposito atau pinjaman periode sebelumnya.<\/p>\n<p style=\"text-align: justify;\">Istilah gampangnya, ketika kamu nabung di bank, dengan suku bunga majemuk, maka penghitungan bunga yang akan kamu terima adalah modal awal tabunganmu, ditambah dengan akumulasi bunga yang kamu dapatkan juga di setiap periodenya. Gitu guys!<\/p>\n<p style=\"text-align: justify; font-weight: bold;\">Baca juga: <a href=\"\/blog\/mengenal-matriks-dalam-matematika-pengertian-jenis-dan-transpose\" rel=\"noopener\">Mengenal Matriks: Pengertian, Jenis, dan Transpose<\/a><\/p>\n<p style=\"text-align: justify;\">\n<h2><strong><span style=\"font-size: 20px;\">Rumus Suku Bunga Majemuk<\/span><\/strong><\/h2>\n<p style=\"text-align: justify;\">Ketika kamu akan menghitung bunga majemuk, pastikan menggunakan rumus bunga majemuk seperti dibawah ini ya:<\/p>\n<p style=\"text-align: justify;\"><span style=\"background-color: transparent;\"><img decoding=\"async\" style=\"width: 600px; margin-left: auto; margin-right: auto; display: block;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Cara%20Menghitung%20Bunga%20Majemuk%20-%20Matematika%20Kelas%2011-03.jpg\" alt=\"Rumus Bunga Majemuk\" width=\"600\" \/><\/span><\/p>\n<p style=\"text-align: justify; font-weight: bold;\">Baca juga: <a href=\"\/blog\/konsep-dan-nilai-suku-banyak\" rel=\"noopener\">Mempelajari Konsep dan Nilai Suku Banyak<\/a><\/p>\n<p style=\"text-align: justify;\">\n<h2 style=\"text-align: justify; font-size: 20px;\"><span style=\"color: #000000;\"><strong>Contoh Soal Bunga Majemuk\u00a0<\/strong><\/span><\/h2>\n<p><span style=\"font-size: 16px;\">1. Ibu menabung sebesar Rp.100.000,00 dengan bunga majemuk 4,5% tiap triwulan.\u00a0 <\/span><span style=\"font-size: 16px;\">Tentukanlah saldo tabungan Ibu setelah 3,5 tahun.<\/span><\/p>\n<p><span style=\"font-size: 16px;\">Jawab:<\/span><\/p>\n<p><span style=\"font-size: 16px;\">Diketahui:<\/span><\/p>\n<p><span style=\"font-size: 16px;\">M0=Rp.100.000,00<\/span><\/p>\n<p><span style=\"font-size: 16px;\">I=4,5%=0,045<\/span><\/p>\n<p><span style=\"background-color: transparent;\">1 tahun = 4 triwulan<\/span><\/p>\n<p><span style=\"font-size: 16px;\">3,5 tahun\u00a0 = 3,5 4triwulan = 14 triwulan,\u00a0 maka n=14<\/span><\/p>\n<p><span style=\"font-size: 16px;\">Saldo tabungan Ibu setelah 3,5 tahun atau setelah 14 triwulan adalah:<\/span><\/p>\n<p><img decoding=\"async\" style=\"width: 250px;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/BM%201.png\" alt=\"suku bunga majemuk\" width=\"250\" \/><\/p>\n<p><span style=\"font-size: 16px;\">2. Ayah mendepositokan uang di Bank sebesar Rp.10.000.000,00 selama 10 tahun dengan suku bunga majemuk 5% per tahun. Besar bunga yang didapatkan pada tahun ke-10 adalah \u2026.<\/span><\/p>\n<p style=\"text-align: justify;\">\u00a0<span style=\"background-color: transparent;\">Jawab:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"background-color: transparent;\">Diketahui:\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 16px; font-family: 'Times New Roman', Times, serif;\"><em>M<sub>0 <\/sub><\/em>= Rp.10.000.000,00<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 16px; font-family: 'Times New Roman', Times, serif;\"><em>n <\/em>= 10<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 16px; font-family: 'Times New Roman', Times, serif;\"><em>i<\/em> = 5% = 0,05<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 16px;\">Bunga yang didapatkan pada tahun ke-10:<\/span><\/p>\n<p>\u00a0<img decoding=\"async\" style=\"width: 350px;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/BM%202.png\" alt=\"BM 2\" width=\"350\" \/><\/p>\n<p><img decoding=\"async\" style=\"width: 250px;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/BM%203.png\" alt=\"BM 3\" width=\"250\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Jadi bunga yang didapatkan pada tahun ke-10 sekitar Rp.775.664,00.<\/p>\n<p><img decoding=\"async\" style=\"width: 600px; margin-left: auto; margin-right: auto; display: block;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Cara%20Menghitung%20Bunga%20Majemuk%20-%20Matematika%20Kelas%2011-04.jpg\" alt=\"Suku bunga tabungan Elon musk\" width=\"600\" \/><\/p>\n<p style=\"font-weight: bold;\">Baca juga: <a href=\"\/blog\/operasi-suku-banyak-dan-konsep-sisa\" rel=\"noopener\">Operasi Suku Banyak dan Konsep Sisa<\/a><\/p>\n<p style=\"font-weight: bold;\">\n<p style=\"text-align: justify;\">Nah gimana, lumayan mudah dipahami bukan? Terima kasih ya udah belajar hari ini! Masih ingin belajar matematika lagi? Setelah mempelajari <strong>bunga tunggal<\/strong>, dan bunga majemuk, selanjutnya kalian bisa belajar mengenai <a style=\"color: #2299a9;\" href=\"https:\/\/www.ruangguru.com\/blog\/pertumbuhan-dan-peluruhan-matematika\"><strong>pertumbuhan dan peluruhan<\/strong><\/a><strong>.\u00a0<\/strong><\/p>\n<p style=\"text-align: justify;\">Tapi kalau kamu masih bingung dengan penjelasan di atas, Jangan khawatir, ayo gabung di <a href=\"\/promo\" target=\"_blank\" rel=\"noopener\"><strong>ruangbe<\/strong><strong>l<\/strong><strong>ajar<\/strong>!<\/a> Ada banyak video belajar dan konsep kilat bareng tutor yang andal dan juga banyak contoh-contoh soal yang bisa <em>bikin<\/em> kamu makin paham.<\/p>\n<p style=\"text-align: justify;\"><a class=\"rg-cta\" style=\"text-align: center;\" href=\"https:\/\/link.ruangguru.com\/blPk\/eaff0eb9\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/cta\/0ec4a2df-db2e-4ae1-8473-692756dcb684.jpeg\" alt=\"IDN CTA Blog ruangbelajar Ruangguru\" width=\"822\" height=\"200\" \/><\/a><\/p>\n<p style=\"text-align: left;\"><strong>Sumber Referensi:\u00a0<\/strong><\/p>\n<p style=\"text-align: left;\">Aisyah Y,\u00a0 Matematika SMK\/MAK. Jakarta: Bumi Aksara.<\/p>\n<p style=\"text-align: left;\">\n<p style=\"text-align: left;\"><em>Artikel diperbarui 3 Februari 2022.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Di artikel ini, kita akan mempelajari salah satu materi dari aplikasi deret aritmatika dan geometri, yakni bunga majemuk. Ayo kita belajar! &#8212;<\/p>\n","protected":false},"author":49,"featured_media":3709,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_knawatfibu_url":["https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Cara%20Menghitung%20Bunga%20Majemuk%20-%20Matematika%20Kelas%2011-02.jpg"],"_edit_lock":["1694931352:1"],"_edit_last":["1"],"_aioseo_title":[null],"_aioseo_description":[null],"_aioseo_keywords":[""],"_aioseo_og_title":[null],"_aioseo_og_description":[null],"_aioseo_og_article_section":[""],"_aioseo_og_article_tags":[""],"_aioseo_twitter_title":[null],"_aioseo_twitter_description":[null]},"categories":[467,475],"tags":[31,10,133,37],"class_list":["post-3709","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","category-matematika-sma-kelas-11","tag-kelas-11","tag-konsep-pelajaran","tag-matematika-xi","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>Rumus Bunga Majemuk dan Cara Menghitungnya | Matematika Kelas 11 - 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\/cara-menghitung-bunga-majemuk\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Rumus Bunga Majemuk dan Cara Menghitungnya | Matematika Kelas 11 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru\" \/>\n<meta property=\"og:description\" content=\"Di artikel ini, kita akan mempelajari salah satu materi dari aplikasi deret aritmatika dan geometri, yakni bunga majemuk. 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