Buku Matematika Kelas 12 SMK - Pratikno, Bayan Ardana W, Erens Sarindat, Agus Ira

Materi Matematika

Kata Sambutan................................................................................................................................... iii
Kata Pengantar................................................................................................................................... iv
Daftar Isi ............................................................................................................................................. v

Bab 1 Teori Peluang
1.1 Mendeskripsikan Kaidah Pencacahan (Counting Rules), Permutasi, dan Kombinasi.................... 2
1.1.1 Aturan pengisian tempat yang tersedia (Filling Slots) ........................................................ 2
1.1.2 Permutasi......................................................................................................................... 4
1.1.3 Kombinasi......................................................................................................................... 8
1.1.4Penggunaan permutasi dan kombinasi dalam bidang bisnis.............................................. 9
1.2 Menghitung Peluang Suatu Kejadian........................................................................................... 11
1.2.1 Kejadian/peristiwa/event ...................................................................................................11
1.2.2 Peluang suatu kejadian..................................................................................................... 11
1.2.3 Frekuensi harapan............................................................................................................ 12
1.2.4 Peluang dari beberapa kejadian........................................................................................ 13
Rangkuman Bab 1......................................................................................................................... 18
Evaluasi.............................................................................................................................................. 19

Bab 2 Statistika
2.1 Mengidentifikasi Pengertian Statistik, Statistika, Populasi, dan Sampel ..................................... 22
2.1.1Pengertian statistik dan statistika ..................................................................................... 22
2.1.2 Kegunaan statistika.......................................................................................................... 23
2.1.3 Populasi dan sampel......................................................................................................... 23
2.1.4 Pembagian data................................................................................................................ 24
2.2 Menyajikan Data dalam Bentuk Tabel dan Diagram ..................................................................... 25
2.2.1 Tabel atau daftar............................................................................................................... 25
2.2.2Menyajikan data dalam bentuk grafik atau diagram........................................................... 32
2.3 Menentukan Ukuran Pemusatan Data......................................................................................... 37
2.3.1 Ukuran pemusatan data.................................................................................................... 37
2.3.2 Kegunaan ukuran pemusatan data.................................................................................... 48
2.4 Menentukan Ukuran Penyebaran Data........................................................................................ 50
2.4.1Range (jangkauan)............................................................................................................ 50
2.4.2 Simpangan rata-rata.......................................................................................................... 51
2.4.3Simpangan baku (standar deviasi) dan variansi................................................................ 52
2.4.4 Jangkauan semi interkuartil .............................................................................................. 55
2.4.5 Jangkauan persentil.......................................................................................................... 60
2.4.6Angka baku...................................................................................................................... 62
2.4.7 Koefisien variasi............................................................................................................... 63
Rangkuman bab 2...............................................................................................................................65
Evaluasi.............................................................................................................................................. 68

Bab 3 Matematika Keuangan
3.1 Menyelesaikan Masalah Bunga Tunggal dan Bunga Majemuk dalam Keuangan.......................... 77
3.1.1 Pengertian bunga dan bunga tunggal................................................................................ 77
3.1.2 Persen di bawah seratus dan persen di atas seratus ......................................................... 77
3.1.3 Sistem tabungan............................................................................................................... 79
3.1.4Sistem pinjaman............................................................................................................... 85
3.1.5 Pengertian bunga majemuk............................................................................................... 88
3.1.6 Perhitungan nilai akhir dengan masa bunga bulat.............................................................. 89
3.1.7 Perhitungan bunga majemuk dengan masa bunga pecahan.............................................. 92
3.1.8Nilai tunai dengan masa bunga bulat................................................................................. 94
3.1.9 Perhitungan nilai tunai dengan bunga pecahan.................................................................. 96
3.2 Menyelesaikan Masalah Rente dalam Keuangan......................................................................... 97
3.2.1 Pengertian dan jenis-jenis rente........................................................................................ 97
3.2.2Nilai akhir rente................................................................................................................. 97
3.2.3 Nilai tunai rente................................................................................................................. 101
3.2.4 Rente kekal (rente abadi).................................................................................................. 105
3.2.5 Rente yang ditangguhkan.................................................................................................. 106
3.3 Menyelesaikan Masalah Anuitas dalam Sistem Pinjaman........................................................... 108
3.3.1 Pengertian anuitas............................................................................................................ 108
3.3.2 Tabel rencana pelunasan................................................................................................... 108
3.3.3 Rumus-rumus anuitas....................................................................................................... 110
3.3.4 Menghitung sisa pinjaman................................................................................................ 113
3.3.5Anuitas yang dibulatkan.................................................................................................... 117
3.3.6 Anuitas pada obligasi........................................................................................................ 118
3.4 Menyelesaikan Masalah Penyusutan Nilai Barang ...................................................................... 121
3.4.1 Pengertian aktiva perusahaan........................................................................................... 121
3.4.2 Penyusutan ....................................................................................................................... 121
3.4.3 Amortisasi (materi pengayaan)......................................................................................... 126
Rangkuman Bab 3.............................................................................................................................. 128
Evaluasi.............................................................................................................................................. 130
Soal-soal UAN..................................................................................................................................... 137

Daftar Pustaka.................................................................................................................................... 155
Glosarium........................................................................................................................................... 156
Indeks................................................................................................................................................. 157
Lampiran............................................................................................................................................. 159