60:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000 Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000 1. :@0.115209:0.615211:0.135654:0.615211:0.135654:0.596518:0.115209:0.596518:0.000000:0.000000:0.000000 Resuelve:@0.148459:0.615211:0.222820:0.615211:0.222820:0.597076:0.148459:0.597076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el problema anterior utilizando la fracción que represente el valor en años. :@0.222820:0.615211:0.823608:0.615211:0.823608:0.598117:0.222820:0.598117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Explica:@0.148459:0.633316:0.207240:0.633316:0.207240:0.615181:0.148459:0.615181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tu respuesta. :@0.207240:0.633316:0.318145:0.633316:0.318145:0.616222:0.207240:0.616222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. :@0.115209:0.768094:0.135654:0.768094:0.135654:0.749400:0.115209:0.749400:0.000000:0.000000:0.000000 Resuelve:@0.148459:0.768094:0.222820:0.768094:0.222820:0.749959:0.148459:0.749959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las operaciones en tu cuaderno. :@0.222820:0.768094:0.486145:0.768094:0.486145:0.751000:0.222820:0.751000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Calcula:@0.486145:0.768094:0.546615:0.768094:0.546615:0.749959:0.486145:0.749959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el Interés y el monto.:@0.546615:0.768094:0.717465:0.768094:0.717465:0.751000:0.546615:0.751000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Taller:@0.175844:0.572717:0.236739:0.572717:0.236739:0.538770:0.175844:0.538770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I.M.3.6.3. Plantea y resuelve problemas de proporcionalidad, y justifica procesos empleando representaciones gráficas; verifica :@0.256865:0.555462:0.877664:0.555462:0.877664:0.545490:0.256865:0.545490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resultados y argumenta con criterios razonados la utilidad de documentos comerciales. (J.4., I.2.) :@0.256865:0.566023:0.705357:0.566023:0.705357:0.556051:0.256865:0.556051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La regla de interés es una operación matemática por medio de la cual se calcula la ganancia que :@0.115209:0.172786:0.884224:0.172786:0.884224:0.155692:0.115209:0.155692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 produce un capital a un porcentaje establecido y por un tiempo determinado. :@0.115209:0.190891:0.744117:0.190891:0.744117:0.173797:0.115209:0.173797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si el tiempo está dado en años, se multiplica por el número de años; si el tiempo está dado en :@0.115209:0.212557:0.884405:0.212557:0.884405:0.195463:0.115209:0.195463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 meses vale 12 y si está dado en días vale 360. Para cálculos comerciales se considera el año :@0.115209:0.230662:0.884144:0.230662:0.884144:0.213568:0.115209:0.213568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.171216:0.230662:0.181388:0.230662:0.181388:0.212813:0.171216:0.212813:0.000000 u:@0.425758:0.230662:0.435930:0.230662:0.435930:0.212813:0.425758:0.212813:0.000000 de 360 días.:@0.115209:0.248767:0.209168:0.248767:0.209168:0.231673:0.115209:0.231673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Los términos del interés son: I: interés: ganancia producida; C: capital: valor que se invierte al :@0.115209:0.270433:0.884301:0.270433:0.884301:0.253339:0.115209:0.253339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 inicio de la transacción; T: tanto por ciento; t: el tiempo; M: el monto, llamado también valor a :@0.115209:0.288538:0.884299:0.288538:0.884299:0.271444:0.115209:0.271444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 futuro, es el valor del capital más el interés.:@0.115209:0.306643:0.455243:0.306643:0.455243:0.289549:0.115209:0.289549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I:@0.115209:0.345569:0.119390:0.345569:0.119390:0.327721:0.115209:0.327721:0.000000 =:@0.119390:0.345569:0.135453:0.345569:0.135453:0.328475:0.119390:0.328475:0.000000:0.000000 C:@0.141634:0.333644:0.152449:0.333644:0.152449:0.315795:0.141634:0.315795:0.000000 × × :@0.152449:0.333644:0.202887:0.333644:0.202887:0.316549:0.152449:0.316549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 T:@0.173236:0.333644:0.182101:0.333644:0.182101:0.315795:0.173236:0.315795:0.000000 t:@0.202887:0.333644:0.208757:0.333644:0.208757:0.315795:0.202887:0.315795:0.000000 100 × :@0.145011:0.356381:0.195228:0.356381:0.195228:0.339286:0.145011:0.339286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.195228:0.356381:0.205400:0.356381:0.205400:0.338532:0.195228:0.338532:0.000000 C:@0.262432:0.345940:0.273248:0.345940:0.273248:0.328091:0.262432:0.328091:0.000000 =:@0.273248:0.345940:0.289551:0.345940:0.289551:0.328846:0.273248:0.328846:0.000000:0.000000 I:@0.293831:0.333999:0.298013:0.333999:0.298013:0.316151:0.293831:0.316151:0.000000 × :@0.298013:0.333999:0.318799:0.333999:0.318799:0.316905:0.298013:0.316905:0.000000:0.000000:0.000000 100 u:@0.318799:0.333999:0.376836:0.333999:0.376836:0.316151:0.318799:0.316151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 × :@0.350280:0.333999:0.366664:0.333999:0.366664:0.316905:0.350280:0.316905:0.000000:0.000000 T:@0.317573:0.356737:0.326438:0.356737:0.326438:0.338888:0.317573:0.338888:0.000000 × :@0.326438:0.356737:0.347224:0.356737:0.347224:0.339642:0.326438:0.339642:0.000000:0.000000:0.000000 t:@0.347224:0.356737:0.353094:0.356737:0.353094:0.338888:0.347224:0.338888:0.000000 T:@0.431476:0.345934:0.440341:0.345934:0.440341:0.328085:0.431476:0.328085:0.000000 =:@0.440341:0.345934:0.456725:0.345934:0.456725:0.328840:0.440341:0.328840:0.000000:0.000000 I:@0.461023:0.333999:0.465205:0.333999:0.465205:0.316151:0.461023:0.316151:0.000000 × :@0.465205:0.333999:0.485991:0.333999:0.485991:0.316905:0.465205:0.316905:0.000000:0.000000:0.000000 100 u:@0.485991:0.333999:0.544028:0.333999:0.544028:0.316151:0.485991:0.316151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 × :@0.517472:0.333999:0.533856:0.333999:0.533856:0.316905:0.517472:0.316905:0.000000:0.000000 C:@0.483780:0.356737:0.494595:0.356737:0.494595:0.338888:0.483780:0.338888:0.000000 × :@0.494595:0.356737:0.515382:0.356737:0.515382:0.339642:0.494595:0.339642:0.000000:0.000000:0.000000 t:@0.515382:0.356737:0.521252:0.356737:0.521252:0.338888:0.515382:0.338888:0.000000 t:@0.601462:0.345934:0.607332:0.345934:0.607332:0.328085:0.601462:0.328085:0.000000 =:@0.607332:0.345934:0.623716:0.345934:0.623716:0.328840:0.607332:0.328840:0.000000:0.000000 I:@0.628031:0.333999:0.632213:0.333999:0.632213:0.316151:0.628031:0.316151:0.000000 × :@0.632213:0.333999:0.652999:0.333999:0.652999:0.316905:0.632213:0.316905:0.000000:0.000000:0.000000 100 u:@0.652999:0.333999:0.711036:0.333999:0.711036:0.316151:0.652999:0.316151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 × :@0.684480:0.333999:0.700864:0.333999:0.700864:0.316905:0.684480:0.316905:0.000000:0.000000 C:@0.649300:0.356737:0.660116:0.356737:0.660116:0.338888:0.649300:0.338888:0.000000 × :@0.660116:0.356737:0.680902:0.356737:0.680902:0.339642:0.660116:0.339642:0.000000:0.000000:0.000000 T:@0.680902:0.356737:0.689767:0.356737:0.689767:0.338888:0.680902:0.338888:0.000000 M = C + I:@0.766731:0.342890:0.833568:0.342890:0.833568:0.327220:0.766731:0.327220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Actividad resuelta:@0.115209:0.390349:0.285424:0.390349:0.285424:0.370376:0.115209:0.370376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Calculamos:@0.115209:0.411704:0.211441:0.411704:0.211441:0.393569:0.115209:0.393569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el monto que recibirá Diana al depositar $ 1 587 por medio año al 7 % anual. :@0.211441:0.411704:0.884305:0.411704:0.884305:0.394610:0.211441:0.394610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aproximamos:@0.115209:0.429810:0.232248:0.429810:0.232248:0.411674:0.115209:0.411674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las cantidades a centésimos: M = C + I.:@0.232248:0.429810:0.543396:0.429810:0.543396:0.412715:0.232248:0.412715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Regla de interés:@0.115891:0.139127:0.354411:0.139127:0.354411:0.098390:0.115891:0.098390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M.3.1.47. Calcular porcentajes en aplicaciones cotidianas: facturas, notas de venta, rebajas, cuentas de ahorro, interés simple y otros:@0.125388:0.074999:0.733116:0.074999:0.733116:0.065028:0.125388:0.065028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 27:@0.045203:0.122645:0.085308:0.122645:0.085308:0.065614:0.045203:0.065614:0.000000:0.000000 M + C:@0.115354:0.463588:0.160545:0.463588:0.160545:0.445740:0.115354:0.445740:0.000000:0.000000:0.000000:0.000000:0.000000 +:@0.160545:0.463588:0.176929:0.463588:0.176929:0.446494:0.160545:0.446494:0.000000:0.000000 C:@0.189563:0.451649:0.200378:0.451649:0.200378:0.433800:0.189563:0.433800:0.000000 × × :@0.200378:0.451649:0.250032:0.451649:0.250032:0.434555:0.200378:0.434555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 T t:@0.221164:0.451649:0.255902:0.451649:0.255902:0.433800:0.221164:0.433800:0.000000:0.000000:0.000000:0.000000 100 × :@0.192538:0.474386:0.242755:0.474386:0.242755:0.457292:0.192538:0.457292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.242755:0.474386:0.252927:0.474386:0.252927:0.456537:0.242755:0.456537:0.000000 M = :@0.381284:0.490334:0.415660:0.490334:0.415660:0.472485:0.381284:0.472485:0.000000:0.000000:0.000000:0.000000 1587 + :@0.415660:0.490334:0.475687:0.490334:0.475687:0.473239:0.415660:0.473239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 587 × 7 × 6:@0.475683:0.478398:0.580419:0.478398:0.580419:0.461304:0.475683:0.461304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 100 × 12:@0.493113:0.501135:0.562950:0.501135:0.562950:0.484041:0.493113:0.484041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.580379:0.490332:0.584782:0.490332:0.584782:0.473238:0.580379:0.473238:0.000000 →:@0.622515:0.491072:0.642356:0.491072:0.642356:0.474083:0.622515:0.474083:0.000000 = 1 587 + 55,55 = 1 642,55:@0.642356:0.490332:0.877419:0.490332:0.877419:0.473238:0.642356:0.473238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.646759:0.490332:0.661917:0.490332:0.661917:0.472484:0.646759:0.472484:0.000000 Medio año = 6 meses, por lo tanto, = 12:@0.291057:0.457519:0.595865:0.457519:0.595865:0.441850:0.291057:0.441850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.549501:0.457519:0.558825:0.457519:0.558825:0.441158:0.549501:0.441158:0.000000 Respondemos: al cabo de medio año Diana recibirá $ 1 642,55.:@0.115202:0.524527:0.573916:0.524527:0.573916:0.508857:0.115202:0.508857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M = :@0.163791:0.688219:0.198167:0.688219:0.198167:0.670370:0.163791:0.670370:0.000000:0.000000:0.000000:0.000000 M = :@0.355130:0.688219:0.389506:0.688219:0.389506:0.670370:0.355130:0.670370:0.000000:0.000000:0.000000:0.000000 →:@0.634459:0.688958:0.654301:0.688958:0.654301:0.671970:0.634459:0.671970:0.000000 M = :@0.654301:0.688219:0.692295:0.688219:0.692295:0.670370:0.654301:0.670370:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.148452:0.791614:0.168877:0.791614:0.168877:0.773177:0.148452:0.773177:0.000000:0.000000:0.000000 $ 4 850 al 20 % en 2 años:@0.181702:0.791614:0.382229:0.791614:0.382229:0.774520:0.181702:0.774520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.148452:0.813280:0.152613:0.813280:0.152613:0.794843:0.148452:0.794843:0.000000 I = :@0.181702:0.813280:0.206489:0.813280:0.206489:0.796186:0.181702:0.796186:0.000000:0.000000:0.000000:0.000000 :@0.185944:0.813280:0.190105:0.813280:0.190105:0.794843:0.185944:0.794843:0.000000 _________ :@0.206489:0.813280:0.292308:0.813280:0.292308:0.796186:0.206489:0.796186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I = :@0.296148:0.813280:0.321176:0.813280:0.321176:0.796186:0.296148:0.796186:0.000000:0.000000:0.000000:0.000000 _________:@0.321176:0.813280:0.403598:0.813280:0.403598:0.796186:0.321176:0.796186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.148472:0.844044:0.170324:0.844044:0.170324:0.825607:0.148472:0.825607:0.000000:0.000000:0.000000 $ 1 482 al 5 % en 4 años:@0.181722:0.844044:0.372438:0.844044:0.372438:0.826949:0.181722:0.826949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.148472:0.865710:0.152634:0.865710:0.152634:0.847273:0.148472:0.847273:0.000000 I = :@0.181722:0.865710:0.206509:0.865710:0.206509:0.848615:0.181722:0.848615:0.000000:0.000000:0.000000:0.000000 :@0.185964:0.865710:0.190125:0.865710:0.190125:0.847273:0.185964:0.847273:0.000000 _________ :@0.206509:0.865710:0.292328:0.865710:0.292328:0.848615:0.206509:0.848615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I = :@0.296168:0.865710:0.321196:0.865710:0.321196:0.848615:0.296168:0.848615:0.000000:0.000000:0.000000:0.000000 _________:@0.321196:0.865710:0.403618:0.865710:0.403618:0.848615:0.321196:0.848615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c) :@0.148492:0.896473:0.167731:0.896473:0.167731:0.878036:0.148492:0.878036:0.000000:0.000000:0.000000 $ 2 480 al 6 % en 2 años:@0.181743:0.896473:0.372459:0.896473:0.372459:0.879379:0.181743:0.879379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.148492:0.918139:0.152654:0.918139:0.152654:0.899702:0.148492:0.899702:0.000000 I = :@0.181743:0.918139:0.206529:0.918139:0.206529:0.901045:0.181743:0.901045:0.000000:0.000000:0.000000:0.000000 :@0.185984:0.918139:0.190146:0.918139:0.190146:0.899702:0.185984:0.899702:0.000000 _________ :@0.206529:0.918139:0.292349:0.918139:0.292349:0.901045:0.206529:0.901045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I = :@0.296188:0.918139:0.321216:0.918139:0.321216:0.901045:0.296188:0.901045:0.000000:0.000000:0.000000:0.000000 _________:@0.321216:0.918139:0.403638:0.918139:0.403638:0.901045:0.321216:0.901045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d) :@0.615924:0.791644:0.637817:0.791644:0.637817:0.773207:0.615924:0.773207:0.000000:0.000000:0.000000 $ 6 420 al 18 % en 3 años:@0.649175:0.791644:0.849701:0.791644:0.849701:0.774550:0.649175:0.774550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.615924:0.813310:0.620086:0.813310:0.620086:0.794873:0.615924:0.794873:0.000000 I = :@0.649175:0.813310:0.673961:0.813310:0.673961:0.796216:0.649175:0.796216:0.000000:0.000000:0.000000:0.000000 :@0.653416:0.813310:0.657578:0.813310:0.657578:0.794873:0.653416:0.794873:0.000000 _________ :@0.673961:0.813310:0.759781:0.813310:0.759781:0.796216:0.673961:0.796216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I = :@0.763620:0.813310:0.788648:0.813310:0.788648:0.796216:0.763620:0.796216:0.000000:0.000000:0.000000:0.000000 _________:@0.788648:0.813310:0.871070:0.813310:0.871070:0.796216:0.788648:0.796216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e) :@0.615945:0.844074:0.636530:0.844074:0.636530:0.825637:0.615945:0.825637:0.000000:0.000000:0.000000 $ 2 600 al 25 % en 4 años :@0.649195:0.844074:0.854123:0.844074:0.854123:0.826980:0.649195:0.826980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.615945:0.865740:0.620106:0.865740:0.620106:0.847303:0.615945:0.847303:0.000000 I = :@0.649195:0.865740:0.673982:0.865740:0.673982:0.848645:0.649195:0.848645:0.000000:0.000000:0.000000:0.000000 :@0.653436:0.865740:0.657598:0.865740:0.657598:0.847303:0.653436:0.847303:0.000000 _________ :@0.673982:0.865740:0.759801:0.865740:0.759801:0.848645:0.673982:0.848645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I = :@0.763640:0.865740:0.788669:0.865740:0.788669:0.848645:0.763640:0.848645:0.000000:0.000000:0.000000:0.000000 _________:@0.788669:0.865740:0.871090:0.865740:0.871090:0.848645:0.788669:0.848645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f) :@0.615965:0.896503:0.634319:0.896503:0.634319:0.878066:0.615965:0.878066:0.000000:0.000000:0.000000 $ 51 800 al 9 % en 5 años:@0.649215:0.896503:0.849741:0.896503:0.849741:0.879409:0.649215:0.879409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.615965:0.918169:0.620126:0.918169:0.620126:0.899732:0.615965:0.899732:0.000000 I = :@0.649215:0.918169:0.674002:0.918169:0.674002:0.901075:0.649215:0.901075:0.000000:0.000000:0.000000:0.000000 :@0.653457:0.918169:0.657618:0.918169:0.657618:0.899732:0.653457:0.899732:0.000000 _________ :@0.674002:0.918169:0.759821:0.918169:0.759821:0.901075:0.674002:0.901075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I = :@0.763661:0.918169:0.788689:0.918169:0.788689:0.901075:0.763661:0.901075:0.000000:0.000000:0.000000:0.000000 _________:@0.788689:0.918169:0.871110:0.918169:0.871110:0.901075:0.788689:0.901075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R.:@0.156374:0.716350:0.171209:0.716350:0.171209:0.699449:0.156374:0.699449:0.000000:0.000000 ©:@0.933104:0.690727:0.933104:0.681663:0.915057:0.681663:0.915057:0.690727:0.000000 maya:@0.934326:0.681663:0.934326:0.645544:0.909338:0.645544:0.909338:0.681663:0.000000:0.000000:0.000000:0.000000 ®:@0.926506:0.645544:0.926506:0.641915:0.915984:0.641915:0.915984:0.645544:0.000000 EDUCACIÓN – Ejemplar sin valor comercial – Prohibida su venta:@0.933104:0.641915:0.933104:0.327090:0.915057:0.327090:0.915057:0.641915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C +:@0.202770:0.688755:0.229185:0.688755:0.229185:0.670906:0.202770:0.670906:0.000000:0.000000:0.000000 :@0.229185:0.688755:0.233588:0.688755:0.233588:0.671660:0.229185:0.671660:0.000000 C T:@0.241617:0.676814:0.281341:0.676814:0.281341:0.658965:0.241617:0.658965:0.000000:0.000000:0.000000 × × :@0.252433:0.676814:0.302127:0.676814:0.302127:0.659720:0.252433:0.659720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.268817:0.676814:0.272475:0.676814:0.272475:0.659871:0.268817:0.659871:0.000000 t:@0.302127:0.676814:0.307997:0.676814:0.307997:0.658965:0.302127:0.658965:0.000000 100 × :@0.244613:0.699551:0.309404:0.699551:0.309404:0.682457:0.244613:0.682457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.294830:0.699551:0.305002:0.699551:0.305002:0.681702:0.294830:0.681702:0.000000 :@0.316018:0.688748:0.320421:0.688748:0.320421:0.671654:0.316018:0.671654:0.000000 1 587 :@0.393233:0.688205:0.456879:0.688205:0.456879:0.671111:0.393233:0.671111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 +:@0.436877:0.688205:0.452476:0.688205:0.452476:0.670356:0.436877:0.670356:0.000000:0.000000 100 × 1 :@0.482389:0.701890:0.546618:0.701890:0.546618:0.684795:0.482389:0.684795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.556187:0.654509:0.565997:0.654509:0.565997:0.637415:0.556187:0.637415:0.000000 2 :@0.556187:0.677246:0.570400:0.677246:0.570400:0.660152:0.556187:0.660152:0.000000:0.000000 1 587 × 7 ×:@0.458547:0.665388:0.549171:0.665388:0.549171:0.648293:0.458547:0.648293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 587 + 55,55 = 1 642,55:@0.692190:0.688387:0.886544:0.688387:0.886544:0.671293:0.692190:0.671293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Diana recibe $ 1 642,55; al utilizar el valor del tiempo en años, el factor de conversión del :@0.175687:0.717612:0.884745:0.717612:0.884745:0.700518:0.175687:0.700518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tiempo vale 1 y el resultado es el mismo.:@0.175687:0.737724:0.498794:0.737724:0.498794:0.720630:0.175687:0.720630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 1 940 :@0.212053:0.812830:0.275940:0.812830:0.275940:0.795736:0.212053:0.795736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 296,4 :@0.212053:0.865063:0.275578:0.865063:0.275578:0.847969:0.212053:0.847969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 297,6 :@0.212053:0.916150:0.275658:0.916150:0.275658:0.899056:0.212053:0.899056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 3 466,8 :@0.675786:0.812845:0.751915:0.812845:0.751915:0.795751:0.675786:0.795751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 2 600 :@0.675786:0.865078:0.739653:0.865078:0.739653:0.847984:0.675786:0.847984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 23 310 :@0.675786:0.917749:0.754489:0.917749:0.754489:0.900655:0.675786:0.900655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 6 790 :@0.317713:0.812845:0.379972:0.812845:0.379972:0.795751:0.317713:0.795751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 1 778,40:@0.317713:0.865078:0.398286:0.865078:0.398286:0.847984:0.317713:0.847984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 2 777,60:@0.317713:0.916165:0.398688:0.916165:0.398688:0.899071:0.317713:0.899071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 9 886,80:@0.791498:0.812860:0.872472:0.812860:0.872472:0.795766:0.791498:0.795766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 5 200:@0.791498:0.865093:0.849354:0.865093:0.849354:0.847999:0.791498:0.847999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 $ 75 110:@0.791498:0.917764:0.859164:0.917764:0.859164:0.900670:0.791498:0.900670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000