+0  
 
0
502
3
avatar

Moin,

benötige Hilfe, Schule ist schon so lange her ...

 

Wie kann ich w,x,y und z errechnen?

100 * 1,01^w * 1,02^x * 1,03^y * 1,05^z = 506,23

 24.05.2015
 #1
avatar
0

100 * 1.01^w * 1.02^x * 1.03^y * 1.05^z = 506.23

 24.05.2015
 #2
avatar
0
for ($w = 0; $w < 162; $w++) {
for ($x = 0; $x < 82; $x++) {
for ($y = 0; $y < 55; $y++) {
for ($z = 0; $z < 33; $z++) {
$r= 100 * pow(1.01,$w) * pow(1.02,$x) * pow(1.03,$y) * pow(1.04,$z);
if ($r >= 506.225 && $r<506.24) {
print "$r = $w TU1 + $x TU2 + $y TU3 + $z TU4\n";
}
}
}
}
}

Das wäre die einzige Lösung, die mir einfällt. Dein Ziel "506.23" ist ja nur die auf zwei Nachkommastellen gerundete (oder gekürzte?) Darstellung des Terms. Daher sucht die Schleife nach allen Lösungen im Interval [ 506.225 , 506.24 ]. Das sind dann:

506.23175186225 = 0 TU1 + 5 TU2 + 21 TU3 + 23 TU4
506.23554117528 = 0 TU1 + 11 TU2 + 13 TU3 + 26 TU4
506.23933051667 = 0 TU1 + 17 TU2 + 5 TU3 + 29 TU4
506.23081155586 = 1 TU1 + 2 TU2 + 24 TU3 + 22 TU4
506.23460086185 = 1 TU1 + 8 TU2 + 16 TU3 + 25 TU4
506.2383901962 = 1 TU1 + 14 TU2 + 8 TU3 + 28 TU4
506.23366055017 = 2 TU1 + 5 TU2 + 19 TU3 + 24 TU4
506.23744987748 = 2 TU1 + 11 TU2 + 11 TU3 + 27 TU4
506.23272024023 = 3 TU1 + 2 TU2 + 22 TU3 + 23 TU4
506.2365095605 = 3 TU1 + 8 TU2 + 14 TU3 + 26 TU4
506.23556924528 = 4 TU1 + 5 TU2 + 17 TU3 + 25 TU4
506.23935858688 = 4 TU1 + 11 TU2 + 9 TU3 + 28 TU4
506.23462893179 = 5 TU1 + 2 TU2 + 20 TU3 + 24 TU4
506.23841826636 = 5 TU1 + 8 TU2 + 12 TU3 + 27 TU4
506.23747794758 = 6 TU1 + 5 TU2 + 15 TU3 + 26 TU4
506.23653763056 = 7 TU1 + 2 TU2 + 18 TU3 + 25 TU4
506.23938665709 = 8 TU1 + 5 TU2 + 13 TU3 + 27 TU4
506.23844633651 = 9 TU1 + 2 TU2 + 16 TU3 + 26 TU4
506.22538144046 = 17 TU1 + 58 TU2 + 1 TU3 + 7 TU4
506.22634980625 = 20 TU1 + 55 TU2 + 2 TU3 + 7 TU4
506.22540950989 = 21 TU1 + 52 TU2 + 5 TU3 + 6 TU4
506.22825847379 = 22 TU1 + 55 TU2 + 0 TU3 + 8 TU4
506.22731817389 = 23 TU1 + 52 TU2 + 3 TU3 + 7 TU4
506.22637787573 = 24 TU1 + 49 TU2 + 6 TU3 + 6 TU4
506.22543757932 = 25 TU1 + 46 TU2 + 9 TU3 + 5 TU4
506.22922684509 = 25 TU1 + 52 TU2 + 1 TU3 + 8 TU4
506.22828654339 = 26 TU1 + 49 TU2 + 4 TU3 + 7 TU4
506.22734624343 = 27 TU1 + 46 TU2 + 7 TU3 + 6 TU4
506.22640594522 = 28 TU1 + 43 TU2 + 10 TU3 + 5 TU4
506.23019521823 = 28 TU1 + 49 TU2 + 2 TU3 + 8 TU4
506.22546564876 = 29 TU1 + 40 TU2 + 13 TU3 + 4 TU4
506.22925491473 = 29 TU1 + 46 TU2 + 5 TU3 + 7 TU4
506.22831461298 = 30 TU1 + 43 TU2 + 8 TU3 + 6 TU4
506.23210390028 = 30 TU1 + 49 TU2 + 0 TU3 + 9 TU4
506.22737431297 = 31 TU1 + 40 TU2 + 11 TU3 + 5 TU4
506.23116359323 = 31 TU1 + 46 TU2 + 3 TU3 + 8 TU4
506.22643401471 = 32 TU1 + 37 TU2 + 14 TU3 + 4 TU4
506.23022328793 = 32 TU1 + 43 TU2 + 6 TU3 + 7 TU4
506.2254937182 = 33 TU1 + 34 TU2 + 17 TU3 + 3 TU4
506.22928298438 = 33 TU1 + 40 TU2 + 9 TU3 + 6 TU4
506.23307227893 = 33 TU1 + 46 TU2 + 1 TU3 + 9 TU4
506.22834268258 = 34 TU1 + 37 TU2 + 12 TU3 + 5 TU4
506.23213197008 = 34 TU1 + 43 TU2 + 4 TU3 + 8 TU4
506.22740238252 = 35 TU1 + 34 TU2 + 15 TU3 + 4 TU4
506.23119166299 = 35 TU1 + 40 TU2 + 7 TU3 + 7 TU4
506.22646208421 = 36 TU1 + 31 TU2 + 18 TU3 + 3 TU4
506.23025135764 = 36 TU1 + 37 TU2 + 10 TU3 + 6 TU4
506.23404065943 = 36 TU1 + 43 TU2 + 2 TU3 + 9 TU4
506.22552178764 = 37 TU1 + 28 TU2 + 21 TU3 + 2 TU4
506.22931105403 = 37 TU1 + 34 TU2 + 13 TU3 + 5 TU4
506.23310034879 = 37 TU1 + 40 TU2 + 5 TU3 + 8 TU4
506.22837075218 = 38 TU1 + 31 TU2 + 16 TU3 + 4 TU4
506.23216003989 = 38 TU1 + 37 TU2 + 8 TU3 + 7 TU4
506.23594935597 = 38 TU1 + 43 TU2 + 0 TU3 + 10 TU4
506.22743045206 = 39 TU1 + 28 TU2 + 19 TU3 + 3 TU4
506.23121973274 = 39 TU1 + 34 TU2 + 11 TU3 + 6 TU4
506.23500904179 = 39 TU1 + 40 TU2 + 3 TU3 + 9 TU4
506.2264901537 = 40 TU1 + 25 TU2 + 22 TU3 + 2 TU4
506.23027942734 = 40 TU1 + 31 TU2 + 14 TU3 + 5 TU4
506.23406872935 = 40 TU1 + 37 TU2 + 6 TU3 + 8 TU4
506.22554985708 = 41 TU1 + 22 TU2 + 25 TU3 + 1 TU4
506.22933912368 = 41 TU1 + 28 TU2 + 17 TU3 + 4 TU4
506.23312841865 = 41 TU1 + 34 TU2 + 9 TU3 + 7 TU4
506.23691774198 = 41 TU1 + 40 TU2 + 1 TU3 + 10 TU4
506.22839882178 = 42 TU1 + 25 TU2 + 20 TU3 + 3 TU4
506.2321881097 = 42 TU1 + 31 TU2 + 12 TU3 + 6 TU4
506.23597742599 = 42 TU1 + 37 TU2 + 4 TU3 + 9 TU4
506.22745852161 = 43 TU1 + 22 TU2 + 23 TU3 + 2 TU4
506.2312478025 = 43 TU1 + 28 TU2 + 15 TU3 + 5 TU4
506.23503711175 = 43 TU1 + 34 TU2 + 7 TU3 + 8 TU4
506.2265182232 = 44 TU1 + 19 TU2 + 26 TU3 + 1 TU4
506.23030749705 = 44 TU1 + 25 TU2 + 18 TU3 + 4 TU4
506.23409679926 = 44 TU1 + 31 TU2 + 10 TU3 + 7 TU4
506.23788612984 = 44 TU1 + 37 TU2 + 2 TU3 + 10 TU4
506.22557792653 = 45 TU1 + 16 TU2 + 29 TU3 + 0 TU4
506.22936719334 = 45 TU1 + 22 TU2 + 21 TU3 + 3 TU4
506.23315648851 = 45 TU1 + 28 TU2 + 13 TU3 + 6 TU4
506.23694581205 = 45 TU1 + 34 TU2 + 5 TU3 + 9 TU4
506.22842689138 = 46 TU1 + 19 TU2 + 24 TU3 + 2 TU4
506.23221617951 = 46 TU1 + 25 TU2 + 16 TU3 + 5 TU4
506.23600549602 = 46 TU1 + 31 TU2 + 8 TU3 + 8 TU4
506.23979484088 = 46 TU1 + 37 TU2 + 0 TU3 + 11 TU4
506.22748659116 = 47 TU1 + 16 TU2 + 27 TU3 + 1 TU4
506.23127587226 = 47 TU1 + 22 TU2 + 19 TU3 + 4 TU4
506.23506518172 = 47 TU1 + 28 TU2 + 11 TU3 + 7 TU4
506.23885451955 = 47 TU1 + 34 TU2 + 3 TU3 + 10 TU4
506.22654629269 = 48 TU1 + 13 TU2 + 30 TU3 + 0 TU4
506.23033556675 = 48 TU1 + 19 TU2 + 22 TU3 + 3 TU4
506.23412486918 = 48 TU1 + 25 TU2 + 14 TU3 + 6 TU4
506.23791419997 = 48 TU1 + 31 TU2 + 6 TU3 + 9 TU4
506.22939526299 = 49 TU1 + 16 TU2 + 25 TU3 + 2 TU4
506.23318455838 = 49 TU1 + 22 TU2 + 17 TU3 + 5 TU4
506.23697388213 = 49 TU1 + 28 TU2 + 9 TU3 + 8 TU4
506.22845496098 = 50 TU1 + 13 TU2 + 28 TU3 + 1 TU4
506.23224424933 = 50 TU1 + 19 TU2 + 20 TU3 + 4 TU4
506.23603356604 = 50 TU1 + 25 TU2 + 12 TU3 + 7 TU4
506.23982291112 = 50 TU1 + 31 TU2 + 4 TU3 + 10 TU4
506.22751466071 = 51 TU1 + 10 TU2 + 31 TU3 + 0 TU4
506.23130394202 = 51 TU1 + 16 TU2 + 23 TU3 + 3 TU4
506.23509325169 = 51 TU1 + 22 TU2 + 15 TU3 + 6 TU4
506.23888258973 = 51 TU1 + 28 TU2 + 7 TU3 + 9 TU4
506.23036363646 = 52 TU1 + 13 TU2 + 26 TU3 + 2 TU4
506.2341529391 = 52 TU1 + 19 TU2 + 18 TU3 + 5 TU4
506.2379422701 = 52 TU1 + 25 TU2 + 10 TU3 + 8 TU4
506.22942333265 = 53 TU1 + 10 TU2 + 29 TU3 + 1 TU4
506.23321262825 = 53 TU1 + 16 TU2 + 21 TU3 + 4 TU4
506.23700195221 = 53 TU1 + 22 TU2 + 13 TU3 + 7 TU4
506.22848303058 = 54 TU1 + 7 TU2 + 32 TU3 + 0 TU4
506.23227231914 = 54 TU1 + 13 TU2 + 24 TU3 + 3 TU4
506.23606163606 = 54 TU1 + 19 TU2 + 16 TU3 + 6 TU4
506.23985098135 = 54 TU1 + 25 TU2 + 8 TU3 + 9 TU4
506.23133201178 = 55 TU1 + 10 TU2 + 27 TU3 + 2 TU4
506.23512132167 = 55 TU1 + 16 TU2 + 19 TU3 + 5 TU4
506.23891065991 = 55 TU1 + 22 TU2 + 11 TU3 + 8 TU4
506.23039170617 = 56 TU1 + 7 TU2 + 30 TU3 + 1 TU4
506.23418100902 = 56 TU1 + 13 TU2 + 22 TU3 + 4 TU4
506.23797034023 = 56 TU1 + 19 TU2 + 14 TU3 + 7 TU4
506.22945140231 = 57 TU1 + 4 TU2 + 33 TU3 + 0 TU4
506.23324069811 = 57 TU1 + 10 TU2 + 25 TU3 + 3 TU4
506.23703002228 = 57 TU1 + 16 TU2 + 17 TU3 + 6 TU4
506.23230038896 = 58 TU1 + 7 TU2 + 28 TU3 + 2 TU4
506.23608970609 = 58 TU1 + 13 TU2 + 20 TU3 + 5 TU4
506.23987905159 = 58 TU1 + 19 TU2 + 12 TU3 + 8 TU4
506.23136008155 = 59 TU1 + 4 TU2 + 31 TU3 + 1 TU4
506.23514939164 = 59 TU1 + 10 TU2 + 23 TU3 + 4 TU4
506.2389387301 = 59 TU1 + 16 TU2 + 15 TU3 + 7 TU4
506.23041977588 = 60 TU1 + 1 TU2 + 34 TU3 + 0 TU4
506.23420907894 = 60 TU1 + 7 TU2 + 26 TU3 + 3 TU4
506.23799841036 = 60 TU1 + 13 TU2 + 18 TU3 + 6 TU4
506.23326876798 = 61 TU1 + 4 TU2 + 29 TU3 + 2 TU4
506.23705809236 = 61 TU1 + 10 TU2 + 21 TU3 + 5 TU4
506.23232845878 = 62 TU1 + 1 TU2 + 32 TU3 + 1 TU4
506.23611777612 = 62 TU1 + 7 TU2 + 24 TU3 + 4 TU4
506.23990712182 = 62 TU1 + 13 TU2 + 16 TU3 + 7 TU4
506.23517746162 = 63 TU1 + 4 TU2 + 27 TU3 + 3 TU4
506.23896680028 = 63 TU1 + 10 TU2 + 19 TU3 + 6 TU4
506.23423714886 = 64 TU1 + 1 TU2 + 30 TU3 + 2 TU4
506.23802648049 = 64 TU1 + 7 TU2 + 22 TU3 + 5 TU4
506.23708616245 = 65 TU1 + 4 TU2 + 25 TU3 + 4 TU4
506.23614584615 = 66 TU1 + 1 TU2 + 28 TU3 + 3 TU4
506.23993519206 = 66 TU1 + 7 TU2 + 20 TU3 + 6 TU4
506.23899487047 = 67 TU1 + 4 TU2 + 23 TU3 + 5 TU4
506.23805455063 = 68 TU1 + 1 TU2 + 26 TU3 + 4 TU4
506.2399632623 = 70 TU1 + 1 TU2 + 24 TU3 + 5 TU4
 24.05.2015
 #3
avatar
0

mit tu4 5%

506.232759530485 = 0 TU1 + 0 TU2 + 7 TU3 + 29 TU4
506.237462172494 = 0 TU1 + 5 TU2 + 2 TU3 + 30 TU4
506.228959805206 = 0 TU1 + 38 TU2 + 3 TU3 + 16 TU4
506.238430561394 = 3 TU1 + 2 TU2 + 3 TU3 + 30 TU4
506.22522560582 = 3 TU1 + 30 TU2 + 9 TU3 + 15 TU4
506.229928177843 = 3 TU1 + 35 TU2 + 4 TU3 + 16 TU4
506.226128473816 = 3 TU1 + 73 TU2 + 0 TU3 + 3 TU4
506.226193971313 = 6 TU1 + 27 TU2 + 10 TU3 + 15 TU4
506.230896552331 = 6 TU1 + 32 TU2 + 5 TU3 + 16 TU4
506.235599177034 = 6 TU1 + 37 TU2 + 0 TU3 + 17 TU4
506.227096841036 = 6 TU1 + 70 TU2 + 1 TU3 + 3 TU4
506.227162338658 = 9 TU1 + 24 TU2 + 11 TU3 + 15 TU4
506.231864928672 = 9 TU1 + 29 TU2 + 6 TU3 + 16 TU4
506.23656756237 = 9 TU1 + 34 TU2 + 1 TU3 + 17 TU4
506.228065210108 = 9 TU1 + 67 TU2 + 2 TU3 + 3 TU4
506.228130707856 = 12 TU1 + 21 TU2 + 12 TU3 + 15 TU4
506.232833306865 = 12 TU1 + 26 TU2 + 7 TU3 + 16 TU4
506.237535949559 = 12 TU1 + 31 TU2 + 2 TU3 + 17 TU4
506.229033581033 = 12 TU1 + 64 TU2 + 3 TU3 + 3 TU4
506.229099078906 = 15 TU1 + 18 TU2 + 13 TU3 + 15 TU4
506.233801686911 = 15 TU1 + 23 TU2 + 8 TU3 + 16 TU4
506.238504338601 = 15 TU1 + 28 TU2 + 3 TU3 + 17 TU4
506.225299381102 = 15 TU1 + 56 TU2 + 9 TU3 + 2 TU4
506.23000195381 = 15 TU1 + 61 TU2 + 4 TU3 + 3 TU4
506.225364878493 = 18 TU1 + 10 TU2 + 19 TU3 + 14 TU4
506.230067451809 = 18 TU1 + 15 TU2 + 14 TU3 + 15 TU4
506.234770068809 = 18 TU1 + 20 TU2 + 9 TU3 + 16 TU4
506.239472729495 = 18 TU1 + 25 TU2 + 4 TU3 + 17 TU4
506.226267746736 = 18 TU1 + 53 TU2 + 10 TU3 + 2 TU4
506.23097032844 = 18 TU1 + 58 TU2 + 5 TU3 + 3 TU4
506.235672953827 = 18 TU1 + 63 TU2 + 0 TU3 + 4 TU4
506.226333244252 = 21 TU1 + 7 TU2 + 20 TU3 + 14 TU4
506.231035826564 = 21 TU1 + 12 TU2 + 15 TU3 + 15 TU4
506.23573845256 = 21 TU1 + 17 TU2 + 10 TU3 + 16 TU4
506.227236114223 = 21 TU1 + 50 TU2 + 11 TU3 + 2 TU4
506.231938704922 = 21 TU1 + 55 TU2 + 6 TU3 + 3 TU4
506.236641339305 = 21 TU1 + 60 TU2 + 1 TU3 + 4 TU4
506.227301611864 = 24 TU1 + 4 TU2 + 21 TU3 + 14 TU4
506.232004203171 = 24 TU1 + 9 TU2 + 16 TU3 + 15 TU4
506.236706838163 = 24 TU1 + 14 TU2 + 11 TU3 + 16 TU4
506.228204483561 = 24 TU1 + 47 TU2 + 12 TU3 + 2 TU4
506.232907083256 = 24 TU1 + 52 TU2 + 7 TU3 + 3 TU4
506.237609726635 = 24 TU1 + 57 TU2 + 2 TU3 + 4 TU4
506.228269981328 = 27 TU1 + 1 TU2 + 22 TU3 + 14 TU4
506.232972581631 = 27 TU1 + 6 TU2 + 17 TU3 + 15 TU4
506.237675225618 = 27 TU1 + 11 TU2 + 12 TU3 + 16 TU4
506.229172854753 = 27 TU1 + 44 TU2 + 13 TU3 + 2 TU4
506.233875463443 = 27 TU1 + 49 TU2 + 8 TU3 + 3 TU4
506.238578115818 = 27 TU1 + 54 TU2 + 3 TU3 + 4 TU4
506.233940961943 = 30 TU1 + 3 TU2 + 18 TU3 + 15 TU4
506.238643614927 = 30 TU1 + 8 TU2 + 13 TU3 + 16 TU4
506.225438653795 = 30 TU1 + 36 TU2 + 19 TU3 + 1 TU4
506.230141227796 = 30 TU1 + 41 TU2 + 14 TU3 + 2 TU4
506.234843845482 = 30 TU1 + 46 TU2 + 9 TU3 + 3 TU4
506.239546506853 = 30 TU1 + 51 TU2 + 4 TU3 + 4 TU4
506.234909344108 = 33 TU1 + 0 TU2 + 19 TU3 + 15 TU4
506.239612006087 = 33 TU1 + 5 TU2 + 14 TU3 + 16 TU4
506.226407019695 = 33 TU1 + 33 TU2 + 20 TU3 + 1 TU4
506.231109602692 = 33 TU1 + 38 TU2 + 15 TU3 + 2 TU4
506.235812229374 = 33 TU1 + 43 TU2 + 10 TU3 + 3 TU4
506.227375387448 = 36 TU1 + 30 TU2 + 21 TU3 + 1 TU4
506.232077979441 = 36 TU1 + 35 TU2 + 16 TU3 + 2 TU4
506.236780615118 = 36 TU1 + 40 TU2 + 11 TU3 + 3 TU4
506.228343757053 = 39 TU1 + 27 TU2 + 22 TU3 + 1 TU4
506.233046358042 = 39 TU1 + 32 TU2 + 17 TU3 + 2 TU4
506.237749002715 = 39 TU1 + 37 TU2 + 12 TU3 + 3 TU4
506.229312128511 = 42 TU1 + 24 TU2 + 23 TU3 + 1 TU4
506.234014738495 = 42 TU1 + 29 TU2 + 18 TU3 + 2 TU4
506.238717392164 = 42 TU1 + 34 TU2 + 13 TU3 + 3 TU4
506.225577926526 = 45 TU1 + 16 TU2 + 29 TU3 + 0 TU4
506.230280501821 = 45 TU1 + 21 TU2 + 24 TU3 + 1 TU4
506.234983120801 = 45 TU1 + 26 TU2 + 19 TU3 + 2 TU4
506.239685783466 = 45 TU1 + 31 TU2 + 14 TU3 + 3 TU4
506.226546292693 = 48 TU1 + 13 TU2 + 30 TU3 + 0 TU4
506.231248876984 = 48 TU1 + 18 TU2 + 25 TU3 + 1 TU4
506.235951504959 = 48 TU1 + 23 TU2 + 20 TU3 + 2 TU4
506.227514660712 = 51 TU1 + 10 TU2 + 31 TU3 + 0 TU4
506.232217253998 = 51 TU1 + 15 TU2 + 26 TU3 + 1 TU4
506.23691989097 = 51 TU1 + 20 TU2 + 21 TU3 + 2 TU4
506.228483030584 = 54 TU1 + 7 TU2 + 32 TU3 + 0 TU4
506.233185632866 = 54 TU1 + 12 TU2 + 27 TU3 + 1 TU4
506.237888278833 = 54 TU1 + 17 TU2 + 22 TU3 + 2 TU4
506.229451402308 = 57 TU1 + 4 TU2 + 33 TU3 + 0 TU4
506.234154013586 = 57 TU1 + 9 TU2 + 28 TU3 + 1 TU4
506.238856668548 = 57 TU1 + 14 TU2 + 23 TU3 + 2 TU4
506.230419775884 = 60 TU1 + 1 TU2 + 34 TU3 + 0 TU4
506.235122396158 = 60 TU1 + 6 TU2 + 29 TU3 + 1 TU4
506.239825060116 = 60 TU1 + 11 TU2 + 24 TU3 + 2 TU4
506.236090780582 = 63 TU1 + 3 TU2 + 30 TU3 + 1 TU4
506.237059166859 = 66 TU1 + 0 TU2 + 31 TU3 + 1 TU4
506.225191211248 = 79 TU1 + 21 TU2 + 1 TU3 + 8 TU4
506.226159576675 = 82 TU1 + 18 TU2 + 2 TU3 + 8 TU4
506.227127943955 = 85 TU1 + 15 TU2 + 3 TU3 + 8 TU4
506.228096313087 = 88 TU1 + 12 TU2 + 4 TU3 + 8 TU4
506.229064684071 = 91 TU1 + 9 TU2 + 5 TU3 + 8 TU4
506.233767291756 = 91 TU1 + 14 TU2 + 0 TU3 + 9 TU4
506.225330483911 = 94 TU1 + 1 TU2 + 11 TU3 + 7 TU4
506.230033056908 = 94 TU1 + 6 TU2 + 6 TU3 + 8 TU4
506.234735673589 = 94 TU1 + 11 TU2 + 1 TU3 + 9 TU4
506.231001431597 = 97 TU1 + 3 TU2 + 7 TU3 + 8 TU4
506.235704057274 = 97 TU1 + 8 TU2 + 2 TU3 + 9 TU4
506.231969808139 = 100 TU1 + 0 TU2 + 8 TU3 + 8 TU4
506.236672442811 = 100 TU1 + 5 TU2 + 3 TU3 + 9 TU4
506.237640830201 = 103 TU1 + 2 TU2 + 4 TU3 + 9 TU4

 24.05.2015

46 Benutzer online

avatar
avatar
avatar
avatar