147:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
b):@0.124851:0.284056:0.141068:0.284056:0.141068:0.267155:0.124851:0.267155:0.000000:0.000000
  ¿Cuál es la posición del barco después de 2 horas?:@0.141068:0.284056:0.521245:0.284056:0.521245:0.267667:0.141068:0.267667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096362:0.369693:0.110588:0.369693:0.110588:0.352792:0.096362:0.352792:0.000000:0.000000
  Determinamos las ecuaciones vectorial, paramétrica y cartesiana de la recta que :@0.110588:0.369693:0.716611:0.369693:0.716611:0.353304:0.110588:0.353304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pasa por los puntos   = (1, 3) y   = (4, –2).:@0.124851:0.386289:0.428297:0.386289:0.428297:0.369900:0.124851:0.369900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.272860:0.386289:0.282756:0.386289:0.282756:0.369928:0.272860:0.369928:0.000000
B:@0.352984:0.386289:0.361829:0.386289:0.361829:0.369928:0.352984:0.369928:0.000000
Paso 1.:@0.102121:0.214244:0.154372:0.214244:0.154372:0.198666:0.102121:0.198666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Identificamos los vectores   y  .:@0.154372:0.214244:0.367744:0.214244:0.367744:0.199345:0.154372:0.199345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.334608:0.214244:0.364829:0.214244:0.364829:0.199370:0.334608:0.199370:0.000000:0.000000:0.000000
u:@0.104194:0.238567:0.112586:0.238567:0.112586:0.223841:0.104194:0.223841:0.000000
v:@0.171380:0.238567:0.178345:0.238567:0.178345:0.223841:0.171380:0.223841:0.000000
:@0.105372:0.228402:0.045269:0.228402:0.045269:0.213951:0.105372:0.213951:0.000000
:@0.172276:0.228402:0.112172:0.228402:0.112172:0.213951:0.172276:0.213951:0.000000
=:@0.115926:0.239176:0.125031:0.239176:0.125031:0.225161:0.115926:0.225161:0.000000
=:@0.182597:0.239176:0.191703:0.239176:0.191703:0.225161:0.182597:0.225161:0.000000
−:@0.215104:0.239176:0.224209:0.239176:0.224209:0.225161:0.215104:0.225161:0.000000
(, 3);  :@0.127370:0.238567:0.171260:0.238567:0.171260:0.223817:0.127370:0.223817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(; :@0.194041:0.238567:0.211943:0.238567:0.211943:0.223817:0.194041:0.223817:0.000000:0.000000:0.000000
,):@0.234565:0.238567:0.251166:0.238567:0.251166:0.223817:0.234565:0.223817:0.000000:0.000000
2:@0.132087:0.238567:0.140180:0.238567:0.140180:0.223817:0.132087:0.223817:0.000000
1:@0.197713:0.238567:0.205806:0.238567:0.205806:0.223817:0.197713:0.223817:0.000000
05:@0.226272:0.238567:0.247036:0.238567:0.247036:0.223817:0.226272:0.223817:0.000000:0.000000
Paso 2. :@0.379607:0.214244:0.435242:0.214244:0.435242:0.198666:0.379607:0.198666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribimos la ecuación vectorial de la :@0.435242:0.214244:0.686424:0.214244:0.686424:0.199345:0.435242:0.199345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta.:@0.379607:0.229332:0.415842:0.229332:0.415842:0.214433:0.379607:0.214433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xt:@0.383140:0.253654:0.399957:0.253654:0.399957:0.238929:0.383140:0.238929:0.000000:0.000000
utv:@0.419892:0.253654:0.454654:0.253654:0.454654:0.238929:0.419892:0.238929:0.000000:0.000000:0.000000
x t:@0.478652:0.253654:0.495454:0.253654:0.495454:0.238929:0.478652:0.238929:0.000000:0.000000:0.000000
t:@0.562325:0.253654:0.567167:0.253654:0.567167:0.238929:0.562325:0.238929:0.000000
:@0.383142:0.243485:0.352012:0.243485:0.352012:0.229033:0.383142:0.229033:0.000000
:@0.421071:0.243485:0.389941:0.243485:0.389941:0.229033:0.421071:0.229033:0.000000
:@0.448585:0.243485:0.425317:0.243485:0.425317:0.229033:0.448585:0.229033:0.000000
:@0.478654:0.243485:0.455385:0.243485:0.455385:0.229033:0.478654:0.229033:0.000000
():@0.390678:0.253654:0.405771:0.253654:0.405771:0.238904:0.390678:0.238904:0.000000:0.000000
() (, 3):@0.486191:0.253654:0.549046:0.253654:0.549046:0.238904:0.486191:0.238904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(;:@0.567788:0.253654:0.579812:0.253654:0.579812:0.238904:0.567788:0.238904:0.000000:0.000000
,):@0.608307:0.253654:0.624909:0.253654:0.624909:0.238904:0.608307:0.238904:0.000000:0.000000
=+:@0.408441:0.254264:0.440168:0.254264:0.440168:0.240248:0.408441:0.240248:0.000000:0.000000
→:@0.458627:0.254264:0.474996:0.254264:0.474996:0.240248:0.458627:0.240248:0.000000
=:@0.503953:0.254264:0.513058:0.254264:0.513058:0.240248:0.503953:0.240248:0.000000
+:@0.551156:0.254264:0.560261:0.254264:0.560261:0.240248:0.551156:0.240248:0.000000
−:@0.588854:0.254264:0.597959:0.254264:0.597959:0.240248:0.588854:0.240248:0.000000
2:@0.520106:0.253654:0.528199:0.253654:0.528199:0.238904:0.520106:0.238904:0.000000
1:@0.571469:0.253654:0.579563:0.253654:0.579563:0.238904:0.571469:0.238904:0.000000
05:@0.600012:0.253654:0.620776:0.253654:0.620776:0.238904:0.600012:0.238904:0.000000:0.000000
Paso único.:@0.102121:0.308329:0.185716:0.308329:0.185716:0.292751:0.102121:0.292751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Hacemos  (2) es decir   = 2.:@0.185716:0.308329:0.371366:0.308329:0.371366:0.293430:0.185716:0.293430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.255690:0.308329:0.262475:0.308329:0.262475:0.293455:0.255690:0.293455:0.000000
t:@0.338062:0.308329:0.342954:0.308329:0.342954:0.293455:0.338062:0.293455:0.000000
x:@0.105655:0.332650:0.112372:0.332650:0.112372:0.317925:0.105655:0.317925:0.000000
km:@0.415112:0.332650:0.435020:0.332650:0.435020:0.317925:0.415112:0.317925:0.000000:0.000000
:@0.105655:0.322486:0.112455:0.322486:0.112455:0.308035:0.105655:0.308035:0.000000
() (, 3):@0.113193:0.332650:0.178138:0.332650:0.178138:0.317900:0.113193:0.317900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(;:@0.198937:0.332650:0.210961:0.332650:0.210961:0.317900:0.198937:0.317900:0.000000:0.000000
,) (,:@0.239454:0.332650:0.285543:0.332650:0.285543:0.317900:0.239454:0.317900:0.000000:0.000000:0.000000:0.000000:0.000000
(,:@0.317104:0.332650:0.332479:0.332650:0.332479:0.317900:0.317104:0.317900:0.000000:0.000000
)( ,):@0.357389:0.332650:0.411207:0.332650:0.411207:0.317900:0.357389:0.317900:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.117904:0.332650:0.125997:0.332650:0.125997:0.317900:0.117904:0.317900:0.000000
2:@0.149183:0.332650:0.157276:0.332650:0.157276:0.317900:0.149183:0.317900:0.000000
21:@0.191690:0.332650:0.210712:0.332650:0.210712:0.317900:0.191690:0.317900:0.000000:0.000000
05:@0.231178:0.332650:0.251942:0.332650:0.251942:0.317900:0.231178:0.317900:0.000000:0.000000
2:@0.274896:0.332650:0.282989:0.332650:0.282989:0.317900:0.274896:0.317900:0.000000
2:@0.321831:0.332650:0.329925:0.332650:0.329925:0.317900:0.321831:0.317900:0.000000
1:@0.351651:0.332650:0.359744:0.332650:0.359744:0.317900:0.351651:0.317900:0.000000
4:@0.381139:0.332650:0.389232:0.332650:0.389232:0.317900:0.381139:0.317900:0.000000
2:@0.398768:0.332650:0.406862:0.332650:0.406862:0.317900:0.398768:0.317900:0.000000
=:@0.133030:0.333260:0.142135:0.333260:0.142135:0.319245:0.133030:0.319245:0.000000
+:@0.180247:0.333260:0.189352:0.333260:0.189352:0.319245:0.180247:0.319245:0.000000
−:@0.220001:0.333260:0.229106:0.333260:0.229106:0.319245:0.220001:0.319245:0.000000
=:@0.258727:0.333260:0.267832:0.333260:0.267832:0.319245:0.258727:0.319245:0.000000
+:@0.305944:0.333260:0.315049:0.333260:0.315049:0.319245:0.305944:0.319245:0.000000
− =:@0.341518:0.333260:0.373560:0.333260:0.373560:0.319245:0.341518:0.319245:0.000000:0.000000:0.000000
 3):@0.287814:0.332650:0.303851:0.332650:0.303851:0.317900:0.287814:0.317900:0.000000:0.000000:0.000000
  :@0.394587:0.332650:0.415136:0.332650:0.415136:0.317900:0.394587:0.317900:0.000000:0.000000
Paso 1.:@0.102121:0.408966:0.154372:0.408966:0.154372:0.393388:0.102121:0.393388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Encontramos el vector dirección restando las coordenadas de los dos puntos :@0.154372:0.408966:0.673571:0.408966:0.673571:0.394067:0.154372:0.394067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dados::@0.102121:0.424054:0.146029:0.424054:0.146029:0.409155:0.102121:0.409155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vB A:@0.104477:0.448376:0.159423:0.448376:0.159423:0.433651:0.104477:0.433651:0.000000:0.000000:0.000000:0.000000
:@0.105372:0.438212:0.112172:0.438212:0.112172:0.423760:0.105372:0.423760:0.000000
=− =:@0.115691:0.448986:0.171350:0.448986:0.171350:0.434970:0.115691:0.434970:0.000000:0.000000:0.000000:0.000000
−:@0.189576:0.448986:0.198681:0.448986:0.198681:0.434970:0.189576:0.434970:0.000000
−−:@0.217091:0.448986:0.247491:0.448986:0.247491:0.434970:0.217091:0.434970:0.000000:0.000000
=:@0.264672:0.448986:0.273777:0.448986:0.273777:0.434970:0.264672:0.434970:0.000000
−:@0.300528:0.448986:0.309634:0.448986:0.309634:0.434970:0.300528:0.434970:0.000000
(41:@0.173691:0.448376:0.207794:0.448376:0.207794:0.433626:0.173691:0.433626:0.000000:0.000000:0.000000
,:@0.205169:0.448376:0.208055:0.448376:0.208055:0.433626:0.205169:0.433626:0.000000
)( ,:@0.257611:0.448376:0.291492:0.448376:0.291492:0.433626:0.257611:0.433626:0.000000:0.000000:0.000000:0.000000
) 5:@0.319520:0.448376:0.319791:0.448376:0.319791:0.433626:0.319520:0.433626:0.000000:0.000000:0.000000
23:@0.228243:0.448376:0.257632:0.448376:0.257632:0.433626:0.228243:0.433626:0.000000:0.000000
3:@0.280833:0.448376:0.288926:0.448376:0.288926:0.433626:0.280833:0.433626:0.000000
Paso 2.:@0.102121:0.470917:0.154372:0.470917:0.154372:0.455339:0.102121:0.455339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Usamos uno de los dos puntos y el vector de dirección para determinar la :@0.154372:0.470917:0.652077:0.470917:0.652077:0.456018:0.154372:0.456018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación vectorial.:@0.102121:0.486005:0.226422:0.486005:0.226422:0.471106:0.102121:0.471106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xt:@0.105655:0.510326:0.122472:0.510326:0.122472:0.495601:0.105655:0.495601:0.000000:0.000000
utv:@0.142407:0.510326:0.177169:0.510326:0.177169:0.495601:0.142407:0.495601:0.000000:0.000000:0.000000
x t:@0.201167:0.510326:0.217969:0.510326:0.217969:0.495601:0.201167:0.495601:0.000000:0.000000:0.000000
t:@0.281489:0.510326:0.286332:0.510326:0.286332:0.495601:0.281489:0.495601:0.000000
:@0.105657:0.500156:0.074527:0.500156:0.074527:0.485705:0.105657:0.485705:0.000000
:@0.143586:0.500156:0.112456:0.500156:0.112456:0.485705:0.143586:0.485705:0.000000
:@0.171100:0.500156:0.147832:0.500156:0.147832:0.485705:0.171100:0.485705:0.000000
:@0.201169:0.500156:0.177900:0.500156:0.177900:0.485705:0.201169:0.485705:0.000000
():@0.113193:0.510326:0.128286:0.510326:0.128286:0.495576:0.113193:0.495576:0.000000:0.000000
() (, 3):@0.208706:0.510326:0.268231:0.510326:0.268231:0.495576:0.208706:0.495576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(,:@0.286953:0.510326:0.302327:0.510326:0.302327:0.495576:0.286953:0.495576:0.000000:0.000000
) 5:@0.330339:0.510326:0.330623:0.510326:0.330623:0.495576:0.330339:0.495576:0.000000:0.000000:0.000000
=+:@0.130939:0.510936:0.162666:0.510936:0.162666:0.496920:0.130939:0.496920:0.000000:0.000000
→:@0.181125:0.510936:0.197494:0.510936:0.197494:0.496920:0.181125:0.496920:0.000000
=:@0.226452:0.510936:0.235557:0.510936:0.235557:0.496920:0.226452:0.496920:0.000000
+:@0.270326:0.510936:0.279431:0.510936:0.279431:0.496920:0.270326:0.496920:0.000000
−:@0.311357:0.510936:0.320462:0.510936:0.320462:0.496920:0.311357:0.496920:0.000000
1:@0.241584:0.510326:0.249678:0.510326:0.249678:0.495576:0.241584:0.495576:0.000000
3:@0.291671:0.510326:0.299764:0.510326:0.299764:0.495576:0.291671:0.495576:0.000000
Paso 3.:@0.102121:0.532867:0.154372:0.532867:0.154372:0.517289:0.102121:0.517289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Separamos los componentes y encontramos las ecuaciones paramétricas.:@0.154372:0.532867:0.648708:0.532867:0.648708:0.517968:0.154372:0.517968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.115832:0.555775:0.122549:0.555775:0.122549:0.541050:0.115832:0.541050:0.000000
t:@0.164028:0.555775:0.168870:0.555775:0.168870:0.541050:0.164028:0.541050:0.000000
y:@0.114555:0.574446:0.121288:0.574446:0.121288:0.559721:0.114555:0.559721:0.000000
t:@0.165587:0.574446:0.170429:0.574446:0.170429:0.559721:0.165587:0.559721:0.000000
=+:@0.126810:0.556385:0.154440:0.556385:0.154440:0.542369:0.126810:0.542369:0.000000:0.000000
=−:@0.125533:0.575056:0.156497:0.575056:0.156497:0.561040:0.125533:0.561040:0.000000:0.000000
:@0.104901:0.557517:0.113094:0.557517:0.113094:0.543502:0.104901:0.543502:0.000000
:@0.104901:0.567849:0.113094:0.567849:0.113094:0.553833:0.104901:0.553833:0.000000
:@0.104901:0.578203:0.113094:0.578203:0.113094:0.564187:0.104901:0.564187:0.000000
13:@0.137507:0.555773:0.164872:0.555773:0.164872:0.541023:0.137507:0.541023:0.000000:0.000000
35:@0.137275:0.574444:0.166663:0.574444:0.166663:0.559694:0.137275:0.559694:0.000000:0.000000
Paso 4.:@0.102121:0.598967:0.154372:0.598967:0.154372:0.583389:0.102121:0.583389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Despejamos   en ambas ecuaciones, igualamos y hallamos la ecuación cartesiana.:@0.154372:0.598967:0.701298:0.598967:0.701298:0.584068:0.154372:0.584068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.244466:0.598967:0.249358:0.598967:0.249358:0.584093:0.244466:0.584093:0.000000
t:@0.104100:0.628628:0.108943:0.628628:0.108943:0.613903:0.104100:0.613903:0.000000
x:@0.127335:0.620736:0.134052:0.620736:0.134052:0.606011:0.127335:0.606011:0.000000
t:@0.162628:0.628628:0.167471:0.628628:0.167471:0.613903:0.162628:0.613903:0.000000
y:@0.186096:0.620736:0.192829:0.620736:0.192829:0.606011:0.186096:0.606011:0.000000
x:@0.106986:0.654120:0.113703:0.654120:0.113703:0.639395:0.106986:0.639395:0.000000
y:@0.151798:0.654120:0.158532:0.654120:0.158532:0.639395:0.151798:0.639395:0.000000
x:@0.126952:0.687505:0.133669:0.687505:0.133669:0.672780:0.126952:0.672780:0.000000
y:@0.185513:0.687505:0.192247:0.687505:0.192247:0.672780:0.185513:0.672780:0.000000
x:@0.122524:0.706176:0.129241:0.706176:0.129241:0.691451:0.122524:0.691451:0.000000
y:@0.175629:0.706176:0.182362:0.706176:0.182362:0.691451:0.175629:0.691451:0.000000
y:@0.105891:0.732732:0.112624:0.732732:0.112624:0.718007:0.105891:0.718007:0.000000
x:@0.148066:0.724841:0.154783:0.724841:0.154783:0.710116:0.148066:0.710116:0.000000
=:@0.113005:0.629233:0.122111:0.629233:0.122111:0.615218:0.113005:0.615218:0.000000
−:@0.137734:0.621342:0.146839:0.621342:0.146839:0.607326:0.137734:0.607326:0.000000
=:@0.171517:0.629233:0.180622:0.629233:0.180622:0.615218:0.171517:0.615218:0.000000
−:@0.196494:0.621342:0.205599:0.621342:0.205599:0.607326:0.196494:0.607326:0.000000
−:@0.191966:0.638992:0.201071:0.638992:0.201071:0.624976:0.191966:0.624976:0.000000
−:@0.117384:0.654725:0.126489:0.654725:0.126489:0.640710:0.117384:0.640710:0.000000
=:@0.137219:0.662617:0.146324:0.662617:0.146324:0.648601:0.137219:0.648601:0.000000
−:@0.162196:0.654725:0.171301:0.654725:0.171301:0.640710:0.162196:0.640710:0.000000
−:@0.157669:0.672376:0.166774:0.672376:0.166774:0.658360:0.157669:0.658360:0.000000
−:@0.104895:0.688109:0.114001:0.688109:0.114001:0.674093:0.104895:0.674093:0.000000
− =:@0.137352:0.688109:0.169415:0.688115:0.169415:0.674099:0.137352:0.674093:0.000000:0.000000:0.000000
−:@0.195934:0.688115:0.205039:0.688115:0.205039:0.674099:0.195934:0.674099:0.000000
−:@0.104901:0.706786:0.114006:0.706786:0.114006:0.692770:0.104901:0.692770:0.000000
+ =:@0.132929:0.706786:0.163943:0.706786:0.163943:0.692770:0.132929:0.692770:0.000000:0.000000:0.000000
−:@0.186034:0.706786:0.195139:0.706786:0.195139:0.692770:0.186034:0.692770:0.000000
=:@0.116859:0.733348:0.125964:0.733348:0.125964:0.719332:0.116859:0.719332:0.000000
−:@0.130425:0.725457:0.139530:0.725457:0.139530:0.711441:0.130425:0.711441:0.000000
+:@0.158454:0.725457:0.167559:0.725457:0.167559:0.711441:0.158454:0.711441:0.000000
1:@0.147856:0.620738:0.155949:0.620738:0.155949:0.605988:0.147856:0.605988:0.000000
3:@0.135799:0.638388:0.143892:0.638388:0.143892:0.623638:0.135799:0.623638:0.000000
3:@0.207644:0.620738:0.215738:0.620738:0.215738:0.605988:0.207644:0.605988:0.000000
5:@0.200994:0.638388:0.209087:0.638388:0.209087:0.623638:0.200994:0.623638:0.000000
1:@0.127490:0.654121:0.135583:0.654121:0.135583:0.639371:0.127490:0.639371:0.000000
3:@0.115432:0.671771:0.123526:0.671771:0.123526:0.657021:0.115432:0.657021:0.000000
3:@0.173330:0.654121:0.181424:0.654121:0.181424:0.639371:0.173330:0.639371:0.000000
5:@0.166680:0.671771:0.174773:0.671771:0.174773:0.657021:0.166680:0.657021:0.000000
5(:@0.113907:0.687505:0.125371:0.687505:0.125371:0.672755:0.113907:0.672755:0.000000:0.000000
1 3(:@0.147458:0.687505:0.183692:0.687505:0.183692:0.672755:0.147458:0.672755:0.000000:0.000000:0.000000:0.000000
3):@0.207102:0.687505:0.219548:0.687505:0.219548:0.672755:0.207102:0.672755:0.000000:0.000000
5:@0.113947:0.706176:0.122041:0.706176:0.122041:0.691426:0.113947:0.691426:0.000000
5 3:@0.144381:0.706176:0.174670:0.706176:0.174670:0.691426:0.144381:0.691426:0.000000:0.000000:0.000000
9:@0.197209:0.706176:0.205302:0.706176:0.205302:0.691426:0.197209:0.691426:0.000000
5:@0.139485:0.724847:0.147578:0.724847:0.147578:0.710097:0.139485:0.710097:0.000000
14:@0.168890:0.724847:0.184994:0.724847:0.184994:0.710097:0.168890:0.710097:0.000000:0.000000
3:@0.153665:0.742497:0.161758:0.742497:0.161758:0.727747:0.153665:0.727747:0.000000
; :@0.156169:0.628629:0.162621:0.628629:0.162621:0.613879:0.156169:0.613879:0.000000:0.000000
):@0.153250:0.687505:0.157645:0.687505:0.157645:0.672755:0.153250:0.672755:0.000000
y y:@0.105891:0.766114:0.112624:0.766114:0.112624:0.751389:0.105891:0.751389:0.000000:0.000000:0.000000
x:@0.152676:0.766114:0.159393:0.766114:0.159393:0.751389:0.152676:0.751389:0.000000
=−:@0.116870:0.766724:0.138231:0.766724:0.138231:0.752708:0.116870:0.752708:0.000000:0.000000
+:@0.163092:0.766724:0.172197:0.766724:0.172197:0.752708:0.163092:0.752708:0.000000
5:@0.141183:0.758222:0.149277:0.758222:0.149277:0.743472:0.141183:0.743472:0.000000
3:@0.141039:0.775873:0.149133:0.775873:0.149133:0.761123:0.141039:0.761123:0.000000
14:@0.174822:0.758228:0.190926:0.758228:0.190926:0.743478:0.174822:0.743478:0.000000:0.000000
3:@0.179580:0.775873:0.187673:0.775873:0.187673:0.761123:0.179580:0.761123:0.000000
Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Volvamos al problema inicial y respondamos a las preguntas planteadas.:@0.110585:0.144572:0.653237:0.144572:0.653237:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124848:0.171859:0.139756:0.171859:0.139756:0.154959:0.124848:0.154959:0.000000:0.000000
  ¿Cuál es la ecuación vectorial de la recta que describe la posición  ( ) del barco :@0.139756:0.171859:0.716523:0.171859:0.716523:0.155470:0.139756:0.155470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r t:@0.621471:0.171859:0.636713:0.171859:0.636713:0.155498:0.621471:0.155498:0.000000:0.000000:0.000000
en función del tiempo   (horas)?:@0.153337:0.188456:0.387516:0.188456:0.387516:0.172067:0.153337:0.172067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.320955:0.188456:0.326336:0.188456:0.326336:0.172094:0.320955:0.172094:0.000000
Dados un punto de la :@0.755480:0.310330:0.903922:0.310330:0.903922:0.295431:0.755480:0.295431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta   = ( ,  ) y su :@0.755480:0.325417:0.894632:0.325417:0.894632:0.310518:0.755480:0.310518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.792470:0.325417:0.800444:0.325417:0.800444:0.310543:0.792470:0.310543:0.000000
0:@0.800444:0.328293:0.805210:0.328293:0.805210:0.319607:0.800444:0.319607:0.000000
x y:@0.826971:0.325417:0.851905:0.325417:0.851905:0.310543:0.826971:0.310543:0.000000:0.000000:0.000000
0:@0.833754:0.328293:0.838520:0.328293:0.838520:0.319607:0.833754:0.319607:0.000000
0:@0.851905:0.328293:0.856672:0.328293:0.856672:0.319607:0.851905:0.319607:0.000000
pendiente m, la ecuación :@0.755487:0.340505:0.928186:0.340505:0.928186:0.325606:0.755487:0.325606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartesiana es::@0.755487:0.355592:0.844040:0.355592:0.844040:0.340693:0.755487:0.340693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y y:@0.755487:0.374238:0.784804:0.374238:0.784804:0.359364:0.755487:0.359364:0.000000:0.000000:0.000000
 –   =  (  –  ):@0.762289:0.374238:0.863113:0.374243:0.863113:0.359344:0.762289:0.359339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.784797:0.377119:0.789563:0.377119:0.789563:0.368433:0.784797:0.368433:0.000000
m x x:@0.806885:0.374243:0.853909:0.374243:0.853909:0.359369:0.806885:0.359369:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.853907:0.377119:0.858673:0.377119:0.858673:0.368433:0.853907:0.368433:0.000000
La ecuación reducida:@0.755479:0.392889:0.897470:0.392889:0.897470:0.377990:0.755479:0.377990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.755479:0.411535:0.762280:0.411535:0.762280:0.396661:0.755479:0.396661:0.000000
 = :@0.762280:0.411535:0.779602:0.411535:0.779602:0.396636:0.762280:0.396636:0.000000:0.000000:0.000000
mx:@0.779602:0.411535:0.799688:0.411535:0.799688:0.396661:0.779602:0.396661:0.000000:0.000000
 +   con :@0.799688:0.411535:0.858137:0.411535:0.858137:0.396636:0.799688:0.396636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.817010:0.411535:0.825437:0.411535:0.825437:0.396661:0.817010:0.396661:0.000000
b:@0.858137:0.411535:0.866564:0.411535:0.866564:0.396661:0.858137:0.396661:0.000000
∊ℝ:@0.866564:0.412063:0.892614:0.412063:0.892614:0.396057:0.866564:0.396057:0.000000:0.000000
 :@0.892614:0.411535:0.896283:0.411535:0.896283:0.396636:0.892614:0.396636:0.000000
es la ecuación cartesiana :@0.755479:0.430181:0.924241:0.430181:0.924241:0.415281:0.755479:0.415281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
implícita, donde b es el :@0.755479:0.445268:0.913554:0.445268:0.913554:0.430369:0.755479:0.430369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto de corte de la recta :@0.755479:0.460356:0.932515:0.460356:0.932515:0.445457:0.755479:0.445457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el eje y, o sea (0,  ).:@0.755479:0.475443:0.909951:0.475443:0.909951:0.460544:0.755479:0.460544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.894170:0.475443:0.902597:0.475443:0.902597:0.460569:0.894170:0.460569:0.000000
La ecuación :@0.755479:0.494089:0.838889:0.494089:0.838889:0.479190:0.755479:0.479190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ax:@0.755479:0.512735:0.771594:0.512735:0.771594:0.497861:0.755479:0.497861:0.000000:0.000000
 +   +   = 0:@0.771594:0.512735:0.855826:0.512735:0.855826:0.497836:0.771594:0.497836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
By:@0.788916:0.512735:0.803994:0.512735:0.803994:0.497861:0.788916:0.497861:0.000000:0.000000
C:@0.821316:0.512735:0.830328:0.512735:0.830328:0.497861:0.821316:0.497861:0.000000
con  ,  ,   :@0.755479:0.531381:0.827397:0.531381:0.827397:0.516482:0.755479:0.516482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C:@0.784511:0.531381:0.823728:0.531381:0.823728:0.516507:0.784511:0.516507:0.000000:0.000000:0.000000:0.000000:0.000000
∊ℝ:@0.827397:0.531909:0.853447:0.531909:0.853447:0.515903:0.827397:0.515903:0.000000:0.000000
Se denomina ecuación :@0.755479:0.550026:0.912365:0.550026:0.912365:0.535127:0.755479:0.535127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartesiana general.:@0.755479:0.565114:0.879914:0.565114:0.879914:0.550215:0.755479:0.550215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este caso,   = –:@0.755479:0.586061:0.882696:0.586325:0.882696:0.571426:0.755479:0.571162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.843697:0.586325:0.856998:0.586325:0.856998:0.571451:0.843697:0.571451:0.000000
A:@0.885494:0.580664:0.894490:0.580664:0.894490:0.565790:0.885494:0.565790:0.000000
B:@0.885980:0.595538:0.894021:0.595538:0.894021:0.580664:0.885980:0.580664:0.000000
     Matemática:@0.776345:0.277887:0.883886:0.277887:0.883886:0.260987:0.776345:0.260987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La regla 50/30/20 es un método simple para administrar el dinero: sugiere :@0.110843:0.862149:0.605784:0.862149:0.605784:0.847250:0.110843:0.847250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
destinar 50 % de los ingresos a necesidades básicas (vivienda, comida, servicios), :@0.110843:0.877237:0.647539:0.877237:0.647539:0.862337:0.110843:0.862337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30 % a gustos (entretenimiento, hobbies) y 20 % a ahorro y deudas (fondo de :@0.110843:0.892324:0.627614:0.892324:0.627614:0.877425:0.110843:0.877425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emergencia, inversiones o pagar créditos). Esta división ayuda a mantener un :@0.110843:0.907412:0.626190:0.907412:0.626190:0.892513:0.110843:0.892513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equilibrio financiero, a controlar gastos y a asegurar un futuro económico.:@0.110843:0.922499:0.600827:0.922499:0.600827:0.907600:0.110843:0.907600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación  :@0.158319:0.822792:0.243627:0.822792:0.243627:0.805891:0.158319:0.805891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.158144:0.836622:0.233194:0.836622:0.233194:0.819721:0.158144:0.819721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.942184:0.891270:0.942184:0.848445:0.930273:0.848445:0.930273:0.891270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000