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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 29 "Cvi\350en\355 z finan\350
n\355 matematiky" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 8 "1. -- 2." }}
{EXCHG {PARA 0 "" 0 "" {TEXT 256 17 "Slo\236en\351 \372ro\350en\355: \+
" }{XPPEDIT 18 0 "x[0];" "6#&%\"xG6#\"\"!" }{TEXT -1 21 " je stav \372
\350tu v \350ase " }{XPPEDIT 18 0 "t = 0;" "6#/%\"tG\"\"!" }{TEXT -1 
2 ", " }{XPPEDIT 18 0 "x[1];" "6#&%\"xG6#\"\"\"" }{TEXT -1 21 " je sta
v \372\350tu v \350ase " }{XPPEDIT 18 0 "t = 1;" "6#/%\"tG\"\"\"" }
{TEXT -1 8 " ,. . .," }{XPPEDIT 18 0 "x[t];" "6#&%\"xG6#%\"tG" }{TEXT 
-1 21 " je stav \372\350tu v \350ase " }{XPPEDIT 18 0 "t;" "6#%\"tG" }
{TEXT -1 2 ". " }{XPPEDIT 18 0 "xi;" "6#%#xiG" }{TEXT -1 60 " je \372r
okov\341 m\355ra za jednotku \350asu. Pak v \350ase t je stav \371\350
tu" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "rce:=x[t]=x[0]*(1+xi)
^t;\n" }{TEXT -1 25 "pokud je \372ro\350en\355 slo\236en\351." }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$rceG/&%\"xG6#%\"tG*&&F'6#\"\"!\"\"
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klad" }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 89 "kolik budu m\355t a \372\350tu za deset let, kdy\236 je
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{SECT 1 {PARA 5 "" 0 "" {TEXT -1 6 "\370e\232en\355" }}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 31 "subs(x[0]=10,xi=0.04,t=10,rce);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#/&%\"xG6#\"#5$\"+&GW-[\"!\")" }}}}}{SECT 0 
{PARA 4 "" 0 "" {TEXT -1 7 "p\370\355klad" }}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 62 "p\370i jak\351 \372rokov\351 m\355\370e bych na onom \372
\350tu m\354l po 10 letech 20K\350?" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT 
-1 0 "" }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 6 "\370e\232en\355" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "with(RealDomain);\nr[2]:=sub
s(x[0]=10,x[t]=20,t=10,rce);" }}{PARA 7 "" 1 "" {TEXT -1 318 "Warning,
 these protected names have been redefined and unprotected: Im, Re, ^,
 arccos, arccosh, arccot, arccoth, arccsc, arccsch, arcsec, arcsech, a
rcsin, arcsinh, arctan, arctanh, cos, cosh, cot, coth, csc, csch, eval
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#ImG%#ReG%\"^G%'arccosG%(arccoshG%'arccotG%(arccothG%'arccscG%(arccsch
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0 12 "solve(r[2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$)\"\"##\"\"
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9 "evalf(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$$\")jMxr!\"*$!+jMxr?F%
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "solve(\{r[2],xi>0\});\n
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6$,&*$)%#_ZG\"#5\"\"\"F/\"\"#!\"\"$\"+jMxr5!\"*F/F/F1" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#<#/%#xiG,&*$)\"\"##\"\"\"\"#5F+F+F+!\"\"" }}}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalf(%);" }}{EXCHG {PARA 0 "> " 0 "
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{SECT 0 {PARA 4 "" 0 "" {TEXT -1 7 "p\370\355klad" }}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 85 "Po jak dlouh\351 dob\354 \350ek\341n\355 bych na \+
\372\350tu m\354l v\355c ne\236 20 K\350, p\370i \372rokov\351 m\355
\370e 0.04 p. a." }}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 6 "\370e\232en
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" {TEXT -1 23 "Obecn\354, (seznam vzorc\371)" }}{EXCHG {PARA 0 "> " 0 
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{MPLTEXT 1 0 23 "xxx:=a[0]=a[t]*(1+b)^c;" }}{PARA 11 "" 1 "" {XPPMATH 
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "isolate(xxx,c);" }}{PARA 11 
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0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 99 "Spo\370\355m-
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04 p. a.,  kolik budu m\355t naspo\370eno za deset let?" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "z*(1+xi)^0+z*(1+xi)^(1/12)+z*(1+xi)
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(z*(1+xi)^(t/12),t=0..T-1)=simplify(sum(z*(1+xi)^(t/12),t=0..T-1));" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&SporoG/-%$SumG6$*&%\"zG\"\"\"),&F+
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{MPLTEXT 1 0 33 "subs(z=10,T=12*10,xi=0.04,Sporo);" }}{PARA 0 "> " 0 "
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