{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "3*4+7;" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#\"#>" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "A:=3*4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG\"#7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "A+3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "rce:=X[t]=X[0 ]*(1+xi)^t;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$rceG/&%\"XG6#%\"tG*& &F'6#\"\"!\"\"\"),&F.F.%#xiGF.F)F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "solve(rce,X[0]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#* &&%\"XG6#%\"tG\"\"\"),&F(F(%#xiGF(F'!\"\"" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 17 "xi=solve(rce,xi);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#/%#xiG,&-%$expG6#*&-%#lnG6#*&&%\"XG6#%\"tG\"\"\"&F/6#\"\"!!\"\"F2F1F 6F2F2F6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "simplify(%); #zj ednoduseni" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%#xiG,&)*&&%\"XG6#%\"tG \"\"\"&F)6#\"\"!!\"\"*&F,F,F+F0F,F,F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "solve(rce,t);" }}{PARA 7 "" 1 "" {TEXT -1 33 "Warning , computation interrupted\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 117 "P redpokladejme, ze jsem na zacatku roku mel na uctu 100 korun a urokova mira byla 0.04. Kolik budu mit na konci roku?" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "subs(X [0]=100,xi=0.04,t=1,rce);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/&%\"XG6# \"\"\"$\"&+/\"!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "X[0]: =100;xi:=0.04;t:=1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"XG6#\"\"! \"$+\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#xiG$\"\"%!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"tG\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "rce;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/&%\"XG6#\"\"# $\"(+;3\"!\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "t;\nt:='t' ;\nt;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"tGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%\"tG" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "unassign('xi','X[0]');" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 78 "Za jak dlouho urocenim naroste cas tka 100 na 110 pri uriokove mifre 0,04 p. a." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "rce2:=subs(X[0]=100,xi=4/100,X[t]=110,rce);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%%rce2G/\"$5\",$*&\"$+\"\"\"\")#\"#E \"#D%\"tGF*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "solve(rce2 );\nsimplify(%);\nevalf(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&-%#ln G6##\"#6\"#5\"\"\"-F%6##\"#E\"#D!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&,(-%#lnG6#\"#6!\"\"-F'6#\"\"#\"\"\"-F'6#\"\"&F.F.,(F+F.-F'6#\"# 8F.*&F-F.F/F.F*F*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+M!)4IC!\"* " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "fsolve(rce2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+#3)4IC!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 44 "BUDOUCI HODNOTA V ZAVISLOSTI NA DOBE UROCENI" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 54 "Pocatecni kapital je 100, urokova miora j e 4/100 p. a." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "phi:=t->10 0.*(1+4/100)^t;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$phiGj+6#%\"tG6\" 6$%)operatorG%&arrowGF(*&$\"$+\"\"\"!\"\"\")#\"#E\"#D9$F0F(F(F(6#F/" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "phi(3);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#$\"++S'[7\"!\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "plot(phi(x),x=1..100);" }}{PARA 13 "" 1 "" {GLPLOT2D 335 276 276 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$\"\"\"\"\"!$\"$/\"F*7$$\"3 '*****\\i#=z:$!#<$\"36(o\\Kl_=8\"!#:7$$\"3y**\\P/9^N]F0$\"3ghW+;'[$=7F 37$$\"3S++vj71ZrF0$\"3asLk/QaB8F37$$\"3c++DYygs#*F0$\"3Y15oF8hQ9F37$$ \"3*)*\\(o2_!)Q6!#;$\"3'pg2(fK1j:F37$$\"3\"**\\Pu'R$\\L\"FF$\"3C(yN+FW !)o\"F37$$\"3))*\\Pz$R,Q:FF$\"32'p>Ia&*z#=F37$$\"33+v$R`R![F37$$\"3#**\\(=v:Rd>FF$\"3U^k%R#3\"[:#F37$$\"37++D#)ets@FF$\"3 -h@TJ=rWBF37$$\"3=+]7l7TiBFF$\"3Q,!G)o;zDDF37$$\"3E++v@3%fd#FF$\"3q#)) pBIJku#F37$$\"3y***\\7:Z.z#FF$\"3eNGIV>P()HF37$$\"3G++Dyt'p*HFF$\"3Y,h &[0U&RKF37$$\"3-+v$*Q$)f%=$FF$\"3qKG)ppJp[$F37$$\"3J++D*p4xS$FF$\"34e( [X&p!e!QF37$$\"3O+++(G9nf$FF$\"3yQe6/tk)4%F37$$\"3s*\\PWbrl\"QFF$\"3YD :>'RdxY%F37$$\"3!)****\\*[#=6SFF$\"3y&yevVB@#[F37$$\"3P+vVH:qCUFF$\"36 k@G*oOLC&F37$$\"3T+DJ[@-GWFF$\"3G;gtoPeycF37$$\"3i+]P%)e;SYFF$\"3go5Yc 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do\n if floor(phi(i)) mod 2 =1 then\n print(`pocet let je:`,i,\"budouci \+ hodnota je:\",floor(phi(i)));\n else\n print(`v case`,i,`je cast ka suda`);\n fi;\nod;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%%'v~caseG\" \"\"%0je~~castka~sudaG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%%'v~caseG\" \"#%0je~~castka~sudaG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%%'v~caseG\"\" $%0je~~castka~sudaG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%%'v~caseG\"\"%% 0je~~castka~sudaG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&%.pocet~let~je:G \"\"&Q4budouci~hodnota~je:6\"\"$@\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 %%'v~caseG\"\"'%0je~~castka~sudaG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&% .pocet~let~je:G\"\"(Q4budouci~hodnota~je:6\"\"$J\"" }}{PARA 11 "" 1 " " {XPPMATH 20 "6%%'v~caseG\"\")%0je~~castka~sudaG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%%'v~caseG\"\"*%0je~~castka~sudaG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%%'v~caseG\"#5%0je~~castka~sudaG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&%.pocet~let~je:G\"#6Q4budouci~hodnota~je:6\"\"$`\"" }} {PARA 11 "" 1 "" {XPPMATH 20 "6%%'v~caseG\"#7%0je~~castka~sudaG" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "25 0 0" 0 } {VIEWOPTS 1 1 0 3 2 1804 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }