Manual de instrucciones HP 10BII

[. . . ] hp 10BII calculadora comercial gua del usuario Edicin 1 Nmero de parte de HP F1902-90005 Nota REGISTRO SU PRODUCTO EN : www. register. hp. com ESTE MANUAL Y CUALQUIER EJEMPLO CONTENIDO AQU SE OFRECEN "TAL COMO ESTN" Y ESTN SUJETOS A CAMBIOS SIN PREVIO AVISO. LA COMPAA HEWLETT-PACKARD NO OFRECE GARANTAS DE NINGN TIPO CON RESPECTO A ESTE MANUAL, INCLUYENDO, PERO NO LIMITNDOSE A LAS GARANTAS IMPLCITAS DE COMERCIALIZACIN, SIN INFRINGIMIENTO DE APTITUD DEL PRODUCTO PARA FINES ESPECFICOS. NO SE HAR RESPONSABLE DE NINGN ERROR O DE DAOS INCIDENTALES CONSECUENTES ASOCIADOS A LA PROVISIN, FUNCIONAMIENTO O USO DE ESTE MANUAL O A LOS EJEMPLOS AQU CONTENIDOS. Copyright 1988, 1989, 2001, 2004 Hewlett-Packard Development Company, L. P. La reproduccin, adaptacin o traduccin de este manual est prohibida sin previo permiso de la compaa Hewlett-Packard, excepto cuando lo permitan las leyes de derecho de autor. 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QWURGXFH HO VH[WR IOXMR GH FDMD , QWURGXFH HO VpSWLPR IOXMR GH FDMD , QWURGXFH HO Q~PHUR GH UHSHWLFLRQHV , QWURGXFH HO VLJXLHQWH IOXMR GH FDMD D 6: Clculos de flujos de caja /OHJDGR HVWH SXQWR OD FDOFXODGRUD FRQWLHQH ORV IOXMRV GH FDMD TXH GHVFULEHQ HO SODQ GH LQYHUVLyQ 3XHGH SXOVDU VHJXLGR GH \ UHSHWLGDPHQWH SDUD YHU ORV IOXMRV GH FDMD \ HO Q~PHUR GH UHSHWLFLRQHV GH FDGD XQR GH HOORV (D (Bg #F Bx Teclas: (D 8QD YH] LQWURGXFLGRV ORV IOXMRV GH FDMD DOPDFHQH OD WDVD GH LQWHUpV \ FDOFXOH HO YDORU SUHVHQWH QHWR Pantalla: 15, 00 27. 199, 92 Descripcin: $OPDFHQD OD WDVD GH LQWHUpV DQXDO &DOFXOD HO YDORU SUHVHQWH QHWR GH ORV IOXMRV GH FDMD DOPDFHQDGRV &RQVXOWH HO HMHPSOR GH UHGRQGHR GH OD SiJLQD  (VWH UHVXOWDGR PXHVWUD TXH SDUD REWHQHU XQ UHQGLPLHQWR DQXDO GHO GHEH SDJDU SRU HO FRQWUDWR 2EVHUYH TXH HVWD FDQWLGDG HV SRVLWLYD (O YDORU SUHVHQWH QHWR FRQVLVWH VLPSOHPHQWH HQ OD VXPD GH ORV YDORUHV DFWXDOHV R QHWRV GH XQD VHULH GH IOXMRV GH FDMD FXDQGR VH GHVFXHQWDQ DO SULQFLSLR GH OD OtQHD WHPSRUDO NPV = 27. 199, 92 7. 330, 34 6. 224, 95 4. 415, 91 4. 471, 10 4. 757, 62 1 3 7. 500, 00 5. 000, 00 5 7 9 11 13 15 17 19 21 23 25 1% = 15% al ao 10. 000, 00 6: Clculos de flujos de caja 89 Clculo de la tasa interna de rendimiento 3XOVH <5 8WLOLFH 3XOVH B8 \ DOPDFHQH HO Q~PHUR GH SHULRGRV DQXDOHV 3$f2 3 D \ g SDUD LQWURGXFLU ORV IOXMRV GH FDMD BW $O FDOFXODU OD WDVD LQWHUQD GH UHQGLPLHQWR 7, 5$f2 , 55<5 REWHQGUi OD WDVD QRPLQDO DQXDO TXH ULQGH XQ YDORU SUHVHQWH QHWR LJXDO D FHUR (Q HO VLJXLHQWH HMHPSOR VH XWLOL]DQ ORV IOXMRV GH FDMD GHO HMHPSOR DQWHULRU (V SRVLEOH TXH KD\D PiV GH XQ YDORU 7, 5$f2 , 55<5 6L DSDUHFH HQ SDQWDOOD HO PHQVDMH1o Solution FRQVXOWH HO DSpQGLFH % SiJLQD  Ejemplo. 6L DFHSWD HO SUHFLR GH TXH VROLFLWD HO YHQGHGRU GHO HMHPSOR DQWHULRU FXiO VHUi HO UHQGLPLHQWR GH VX LQYHUVLyQ" (VWH FiOFXOR GH WDVD LQWHUQD GH UHQGLPLHQWR UHTXLHUH XQD OLJHUD PRGLILFDFLyQ GH ORV IOXMRV GH FDMD DFWXDOPHQWH DOPDFHQDGRV 10. 000 7. 500 5. 000 5. 000 1 3 5 7 9 11 13 15 17 19 21 23 25 IRR/YR = ? -28. 000 90 6: Clculos de flujos de caja &@B3 D BW Teclas: Pantalla: 28. 000, 00 12, 49 Descripcin: 0RGLILFD HO IOXMR GH FDMD LQLFLDO &DOFXOD HO UHQGLPLHQWR QRPLQDO DQXDO (Q HO FDStWXOR (MHPSORV DGLFLRQDOHV HQFRQWUDUi PiV HMHPSORV GHO XVR GH 931 139 \ 7, 5$f2 , 55<5 Almacenamiento automtico de TIR/AO (IRR/ YR) y VPN (NPV) &XDQGR FDOFXOH HO YDORU SUHVHQWH QHWR 931 139 HO UHVXOWDGR VH DOPDFHQDUi HQ OD YDULDEOH 93 39 SDUD IDFLOLWDU ORV FiOFXORV VLJXLHQWHV 3DUD UHFXSHUDU HO UHVXOWDGR SXOVH 6L QR KD PRGLILFDGR ORV YDORUHV GH 9'7 GHO ~OWLPR HMHPSOR PHGLDQWH 931 139 SiJLQD  FXDQGR SXOVH HO UHVXOWDGR VHUi ( ( $O FDOFXODU 7, 5$f2 , 55<5 VH DOPDFHQDUi HO UHVXOWDGR HQ , $f2 UHQGLPLHQWR , <5 (Q HO HMHPSOR DQWHULRU SXOVH DQXDO (FSDUDPRVWUDUHO 6: Clculos de flujos de caja 91 7 Clculos estadsticos /DV WHFODV \ VH XWLOL]DQ SDUD LQWURGXFLU \ ERUUDU GDWRV SDUD UHDOL]DU FiOFXORV HVWDGtVWLFRV GH XQD R GRV YDULDEOHV /RV GDWRV GH VXPD VH DOPDFHQDQ HQ OD PHPRULD /DV HWLTXHWDV VLWXDGDV VREUH ODV WHFODV D LQGLFDQ ORV GDWRV ORV GDWRV GH VXPD DOPDFHQDGRV 8QD YH] LQWURGXFLGRV ORV GDWRV SXHGH XWLOL]DU ODV IXQFLRQHV HVWDGtVWLFDV SDUD UHDOL]DU ORV VLJXLHQWHV FiOFXORV 0HGLD \ GHVYLDFLyQ HVWiQGDU (VWDGtVWLFDV GH UHJUHVLyQ OLQHDO (VWLPDFLyQ OLQHDO \ SURQyVWLFR 0HGLD SRQGHUDGD (VWDGtVWLFDV GH VXPD Q [ [ \ \ \ [\ A *@ n n n n n Borrar datos estadsticos %RUUH ORV UHJLVWURV HVWDGtVWLFRV DQWHV GH LQWURGXFLU GDWRV QXHYRV 6L QR ERUUD ORV UHJLVWURV ORV GDWRV DOPDFHQDGRV DFWXDOPHQWH VH LQFOXLUiQ DXWRPiWLFDPHQWH HQ ORV FiOFXORV GH VXPD 3DUD ERUUDU ORV UHJLVWURV HVWDGtVWLFRV SXOVH 7DPELpQ VH ERUUDUi OD SDQWDOOD j * 7: Clculos estadsticos 93 Introduccin de datos estadsticos 1R KD\ OtPLWH SDUD HO Q~PHUR GH YDORUHV TXH SXHGH DFXPXODU HQ ORV UHJLVWURV HVWDGtVWLFRV Estadsticas de una variable 3DUD LQWURGXFLU ORV GDWRV GH [ SDUD ODV HVWDGtVWLFDV GH XQD VROD YDULDEOH VLJD HVWRV SDVRV %RUUH ORV UHJLVWURV HVWDGtVWLFRV SDUD HOOR SXOVH , QWURGX]FD HO SULPHU YDORU \ SXOVH /D FDOFXODGRUD +3 %, , PRVWUDUi Q HO Q~PHUR GH HOHPHQWRV DFXPXODGRV 6LJD DFXPXODQGR YDORUHV SDUD HOOR LQWURGX]FD ORV Q~PHURV \ SXOVH (O YDORU GH Q VH LQFUHPHQWD FRQ FDGD HQWUDGD A *j A Estadsticas de dos variables y media ponderada 3DUD LQWURGXFLU GDWRV HVWDGtVWLFRV HQ IRUPD GH SDUHV GH YDORUHV [\ VLJD HVWRV SDVRV %RUUH ORV UHJLVWURV HVWDGtVWLFRV SDUD HOOR SXOVH , QWURGX]FD HO SULPHU YDORU GH [ \ SXOVH /D +3 %, , PRVWUDUi HQ SDQWDOOD HO YDORU GH [ , QWURGX]FD HO YDORU GH \ FRUUHVSRQGLHQWH \ SXOVH /D +3 %, , PXHVWUD Q HO Q~PHUR GH SDUHV GH YDORUHV DFXPXODGRV 6LJD LQWURGXFLHQGR SDUHV [ \ (O YDORU GH Q VH LQFUHPHQWD FRQ FDGD HQWUDGD 0 *j A $O FDOFXODU XQD PHGLD SRQGHUDGD LQWURGX]FD FDGD GDWR FRPR YDORU [ \ HO SHVR FRUUHVSRQGLHQWH FRPR YDORU \ Si la acumulacin de datos estadsticos hace que el valor de un registro supere 9, 99999999999 10499, la calculadora HP 10BII mostrar una advertencia de desbordamiento temporal (OFLO). 94 7: Clculos estadsticos Correccin de datos estadsticos 3XHGH ERUUDU ODV HQWUDGDV LQFRUUHFWDV PHGLDQWH OD WHFOD 6L XQR GH ORV YDORUHV GH XQ SDU [\ HV LQFRUUHFWR GHEH ERUUDU ORV GRV YDORUHV GHO SDU \ YROYHU D LQWURGXFLUORV *@ Correccin de datos de una variable 3DUD ERUUDU \ YROYHU D LQWURGXFLU GDWRV HVWDGtVWLFRV , QWURGX]FD HO YDORU [ TXH GHVHD ERUUDU 3XOVH SDUD ERUUDU HO YDORU 6H GHFUHPHQWDUi HO YDORU GH Q HQ XQD XQLGDG , QWURGX]FD HO YDORU FRUUHFWR PHGLDQWH *@ A Correccin de datos de dos variables 3DUD VXSULPLU \ YROYHU D LQWURGXFLU SDUHV GH GDWRV HVWDGtVWLFRV [\ , QWURGX]FD HO YDORU GH [ SXOVH \ D FRQWLQXDFLyQ LQWURGX]FD HO YDORU GH \ 3XOVH SDUD ERUUDU ORV YDORUHV 6H GHFUHPHQWDUi HO YDORU GH Q HQ XQD XQLGDG , QWURGX]FD HO SDU GH GDWRV FRUUHFWR [\ PHGLDQWH \ 0 *@ 0 A 7: Clculos estadsticos 95 Resumen de clculos estadsticos $OJXQDV IXQFLRQHV GHYXHOYHQ GRV YDORUHV (O LQGLFDGRU STAT LQGLFD TXH XQD IXQFLyQ KD GHYXHOWR GRV YDORUHV 3DUD YHU HO YDORU RFXOWR SXOVH *i *$ *E Teclas: Descripcin: para Pulse mostrar la *i 0HGLD DULWPpWLFD SURPHGLR GH ORV YDORUHV [ 0HGLD SRQGHUDGD GH ORV YDORUHV [ SHVRV DVLJQDGRV SRU ORV YDORUHV \ 'HVYLDFLyQ HVWiQGDU GH XQD PXHVWUD GH ORV YDORUHV [ 'HVYLDFLyQ HVWiQGDU GH OD SREODFLyQ GH ORV YDORUHV [ 0HGLD SURPHGLR GH ORV YDORUHV \ VL VH KDQ LQWURGXFLGR YDORUHV GH \ *: *M Valor \ Valor [ 'HVYLDFLyQ HVWiQGDU GH XQD PXHVWUD GH ORV YDORUHV \ VL VH KDQ LQWURGXFLGR YDORUHV \ 'HVYLDFLyQ HVWiQGDU GH OD SREODFLyQ GH ORV YDORUHV \ VL VH KDQ LQWURGXFLGR YDORUHV \ *3 *4 (VWLPDFLyQ GH [ SDUD XQ &RHILFLHQWH GH YDORU \ GHWHUPLQDGR FRUUHODFLyQ (VWLPDFLyQ GH \ SDUD XQ YDORU [ GHWHUPLQDGR , QWHUVHFFLyQ FRQ HO HMH \ E GH OD OtQHD FDOFXODGD 3HQGLHQWH P GH OD OtQHD FDOFXODGD 3HQGLHQWH P GH OD OtQHD FDOFXODGD *4 pyrh Ghqrvhpvyriqhqrhrhrrryqhrrrhhrhqrpw hqrqhGhqrvhpvyriqhqryhiyhpvyrrryqhshyhiyhpvy @yprsvpvrrqrpryhpvyr~rrrrpvrrhyvr hyò rrrhyhvvqhqqry qhpyhytrhphypyhqh@yhyyvqvphhpryhpvyvvhrsrphvrhrò vqvphh pryhpvyrthvhrsrphVhyyvhprvqvphrryhwrpyhytrhrvsvpvrr 96 7: Clculos estadsticos )+ ); )= )\ )g )f Teclas: Descripcin: 1~PHUR GH 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(O FDSLWiQ GH XQ \DWH TXLHUH GHWHUPLQDU FXiQWR WLHPSR VH WDUGD HQ FDPELDU XQD YHOD (OLJH DO D]DU VHLV PLHPEURV GH OD WULSXODFLyQ OHV REVHUYD PLHQWUDV FDPELDQ OD YHOD \ DQRWD HO Q~PHUR GH PLQXWRV QHFHVDULRV \ &DOFXOH OD PHGLD \ OD GHVYLDFLyQ HVWiQGDU GH OD PXHVWUD GHO WLHPSR QHFHVDULR SDUD FDPELDU OD YHOD &DOFXOH WDPELpQ OD PHGLD FXDGUiWLFD PHGLDQWH OD IRUPXOD x 2 / n Teclas: *j A A A A Pantalla: 0, 00 1, 00 2, 00 3, 00 4, 00 Descripcin: %RUUD ORV UHJLVWURV HVWDGtVWLFRV , QWURGXFH HO SULPHU WLHPSR , QWURGXFH HO VHJXQGR WLHPSR , QWURGXFH HO WHUFHU WLHPSR , QWURGXFH HO FXDUWR WLHPSR 7: Clculos estadsticos 97 A A *$ *: )\ d)+ *T 5, 00 6, 00 3, 50 0, 85 77, 13 6, 00 3, 59 , QWURGXFH HO TXLQWR WLHPSR , QWURGXFH HO VH[WR WLHPSR &DOFXOD OD PHGLD &DOFXOD OD GHVYLDFLyQ HVWiQGDU GH OD PXHVWUD 0XHVWUD [ 0XHVWUD Q &DOFXOD OD PHGLD FXDGUiWLFD /DV GHVYLDFLRQHV HVWiQGDU FDOFXODGDV PHGLDQWH \ VRQ ODV GHVYLDFLRQHV HVWiQGDU GH OD PXHVWUD 3UHVXSRQHQ TXH ORV GDWRV UHSUHVHQWDQ XQD PXHVWUD GH XQ FRQMXQWR FRPSOHWR GH GDWRV *: *i *M \ *M*i *: 6L ORV GDWRV DEDUFDQ OD SREODFLyQ FRPSOHWD VH SXHGHQ FDOFXODU ODV GHVYLDFLRQHV HVWiQGDU GH OD SREODFLyQ PHGLDQWH Ejemplo 2. 8Q HTXLSR GHSRUWLYR WLHQH FXDWUR QXHYRV MXJDGRUHV GH \ FHQWtPHWURV GH DOWXUD \ \ NLORJUDPRV GH SHVR UHVSHFWLYDPHQWH %XVTXH OD PHGLD \ OD GHVYLDFLyQ HVWiQGDU GH OD SREODFLyQ SDUD OD DOWXUD \ HO SHVR \ D FRQWLQXDFLyQ VXPH ORV YDORUHV \ Teclas: *j 0A 0A 0A 0A *$ 98 Pantalla: 0, 00 1, 00 2, 00 3, 00 4, 00 184, 25 Descripcin: %RUUD ORV UHJLVWURV HVWDGtVWLFRV , QWURGXFH OD DOWXUD \ HO SHVR GHO MXJDGRU , QWURGXFH OD DOWXUD \ HO SHVR GHO MXJDGRU , QWURGXFH OD DOWXUD \ HO SHVR GHO MXJDGRU , QWURGXFH OD DOWXUD \ HO SHVR GHO MXJDGRU &DOFXOD OD PHGLD GH ODV DOWXUDV [ 7: Clculos estadsticos *i *M *i )= 82, 75 5, 80 4, 71 331, 00 0XHVWUD OD PHGLD GH ORV SHVRV \ &DOFXOD OD GHVYLDFLyQ HVWiQGDU GH OD SREODFLyQ GH DOWXUDV [ &DOFXOD OD GHVYLDFLyQ HVWiQGDU GH OD SREODFLyQ GH SHVRV \ 0XHVWUD HO WRWDO GH ORV YDORUHV GH \ Regresin lineal y estimacin /D UHJUHVLyQ OLQHDO HV XQ PpWRGR HVWDGtVWLFR TXH VH XWLOL]D SDUD UHDOL]DU HVWLPDFLRQHV \ SURQyVWLFRV 6H XWLOL]D SDUD HQFRQWUDU OD OtQHD UHFWD TXH VH DMXVWH PHMRU D XQ FRQMXQWR GH YDORUHV GH [ H \ 'HEH KDEHU DO PHQRV GRV SDUHV [\ GLVWLQWRV /D OtQHD UHFWD SURSRUFLRQD XQD UHODFLyQ HQWUH ODV YDULDEOHV [ H \ \ P[ E GRQGH P HV OD SHQGLHQWH \ E HV HO SXQWR GH LQWHUVHFFLyQ FRQ HO HMH \ Regresin lineal. &DOFXOH P E \ U HO FRHILFLHQWH GH FRUUHODFLyQ GH OD IRUPD VLJXLHQWH %RUUH ORV UHJLVWURV HVWDGtVWLFRV SDUD HOOR SXOVH , QWURGX]FD HO SULPHU YDORU GH [ \ SXOVH /D +3 %, , PRVWUDUi HQ SDQWDOOD HO YDORU GH [ , QWURGX]FD HO YDORU GH \ FRUUHVSRQGLHQWH \ SXOVH /D +3 %, , PXHVWUD Q HO Q~PHUR GH SDUHV GH YDORUHV DFXPXODGRV 6LJD LQWURGXFLHQGR SDUHV [ \ (O YDORU GH Q VH LQFUHPHQWD FRQ FDGD HQWUDGD 3DUD PRVWUDU HO YDORU GH E LQWHUVHFFLyQ FRQ HO HMH \ SXOVH $ FRQWLQXDFLyQ SXOVH SDUD PRVWUDU P OD SHQGLHQWH GH OD OtQHD 3XOVH SDUD PRVWUDU U HO FRHILFLHQWH GH FRUUHODFLyQ 0 *j A *i *4 *3*i Estimacin lineal. 6H SXHGH XWLOL]DU OD OtQHD UHFWD FDOFXODGD PHGLDQWH UHJUHVLyQ OLQHDO SDUD FDOFXODU HO YDORU \ FRUUHVSRQGLHQWH D XQ YDORU [ GHWHUPLQDGR R YLFHYHUVD 7: Clculos estadsticos 99 3DUD LQWURGXFLU ORV GDWRV [\ VLJD ODV LQVWUXFFLRQHV GH OD SiJLQD , QWURGX]FD XQ YDORU FRQRFLGR GH [ R GH \ n 3DUD FDOFXODU XQD HVWLPDFLyQ GH [ FRUUHVSRQGLHQWH D XQ YDORU \ GHWHUPLQDGR LQWURGX]FD HO YDORU \ \ D FRQWLQXDFLyQ SXOVH n 3DUD FDOFXODU XQD HVWLPDFLyQ GH \ FRUUHVSRQGLHQWH D XQ YDORU [ GHWHUPLQDGR LQWURGX]FD HO YDORU [ \ D FRQWLQXDFLyQ SXOVH *3 *4 Ejemplo: Pronstico. /D IORULVWHUtD (O 1DUFLVR VH DQXQFLD D WUDYpV GH OD HPLVRUD GH UDGLR ORFDO 'XUDQWH ODV ~OWLPDV VHLV VHPDQDV HO JHUHQWH KD UHJLVWUDGR HO Q~PHUR GH PLQXWRV GH SXEOLFLGDG FRPSUDGRV \ ODV YHQWDV VHPDQDOHV Semana Minutos de publicidad ((valores x) Ventas ((valores y) &DOFXOH OD LQWHUVHFFLyQ FRQ HO HMH \ OD SHQGLHQWH \ HO FRHILFLHQWH GH FRUUHODFLyQ y 3. 000, 00 (pronstico) 2. 000, 00 Ve n t a s m = 425, 88 1. 000, 00 b x 1 2 3 4 5 6 7 8 Minutos de publicidad 100 7: Clculos estadsticos Teclas: *j 0A 0A 0A 0A 0A 0A *4 *i *3*i *4 *4 Pantalla: 0, 00 1, 00 Descripcin: %RUUD ORV UHJLVWURV HVWDGtVWLFRV , QWURGXFH HO Q~PHUR GH PLQXWRV \ ODV YHQWDV GH ODV VLJXLHQWHV VHPDQDV 2, 00 3, 00 4, 00 5, 00 6, 00 376, 25 425, 88 0, 90 &DOFXOD OD LQWHUVHFFLyQ FRQ HO HMH \ E 0XHVWUD OD SHQGLHQWH &DOFXOD HO FRHILFLHQWH GH FRUUHODFLyQ +DJD XQD HVWLPDFLyQ GHO QLYHO GH YHQWDV VL VH FRPSUDQ X PLQXWRV GH SXEOLFLGDG 3. 357, 38 3. 783, 25 (VWLPD HO QLYHO GH YHQWDV FRUUHVSRQGLHQWH D PLQXWRV GH SXEOLFLGDG (VWLPD ODV YHQWDV FRUUHVSRQGLHQWH D PLQXWRV GH SXEOLFLGDG &XiQWRV PLQXWRV GH SXEOLFLGDG GHEH FRPSUDU HO JHUHQWH GH OD IORULVWHUtD VL GHVHD UHDOL]DU YHQWDV SRU YDORU GH " *3 6, 16 (VWLPD HO Q~PHUR GH PLQXWRV GH SXEOLFLGDG QHFHVDULRV SDUD UHDOL]DU YHQWDV SRU YDORU GH 7: Clculos estadsticos 101 Media ponderada (O VLJXLHQWH SURFHGLPLHQWR SHUPLWH FDOFXODU OD PHGLD SRQGHUDGD GH XQD VHULH GH GDWRV [ [ [Q FRQ SHVRV \ \ \Q 8WLOLFH \ SDUD LQWURGXFLU SDUHV [\ /RV 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[. . . ] Para obtener ms informacin sobre los puntos de recogida de residuos elctricos y electrnicos para reciclado, pngase en contacto con su ayuntamiento, con el servicio de eliminacin de residuos domsticos o con el establecimiento en el que adquiri el producto. Trminos y condiciones para usuarios finales La calculadora HP 10BII Periodo de garanta: 12 meses 1. HP garantiza al cliente (usuario final) que el hardware, los accesorios y los consumibles de HP estarn libres de defectos en los materiales y en la fabricacin por el periodo de tiempo especificado, a partir de la fecha de adquisicin. Si se comunica a HP la existencia de alguno de estos defectos durante el periodo de garanta, HP se reserva la opcin de reparar o reemplazar los productos que resulten defectuosos. Los productos de sustitucin pueden ser nuevos o de rendimiento equivalente a productos nuevos. [. . . ]