Los B(6)-A(6)=5000(1+46%/4)^24-5000(1+45%)^6 op

$$B ( 6 ) - A ( 6 ) = 5000 ( 1 + \frac { 46 \% } { 4 } ) ^ { 24 } - 5000 ( 1 + 45 \% ) ^ { 6 }$$

Oplossen voor A

$$A = -\frac{24265751938706103774328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000} = -3615\frac{5,897602706102325 \times 10^{51}}{6,710886400000001 \times 10^{51}} = -3615,878811285809$$

Stappen voor oplossen lineaire vergelijking

Vereenvoudig de breuk \frac{46}{100} tot de kleinste termen door 2 af te trekken en weg te strepen.

$$B\times 6-A\times 6=5000\left(1+\frac{\frac{23}{50}}{4}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

Druk \frac{\frac{23}{50}}{4} uit als een enkele breuk.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{50\times 4}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

Vermenigvuldig 50 en 4 om 200 te krijgen.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{200}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

Tel 1 en \frac{23}{200} op om \frac{223}{200} te krijgen.

$$B\times 6-A\times 6=5000\times \left(\frac{223}{200}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

Bereken \frac{223}{200} tot de macht van 24 en krijg \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}.

$$B\times 6-A\times 6=5000\times \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{100}\right)^{6}$$

Vermenigvuldig 5000 en \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} om \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} te krijgen.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{100}\right)^{6}$$

Vereenvoudig de breuk \frac{45}{100} tot de kleinste termen door 5 af te trekken en weg te strepen.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{9}{20}\right)^{6}$$

Tel 1 en \frac{9}{20} op om \frac{29}{20} te krijgen.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \left(\frac{29}{20}\right)^{6}$$

Bereken \frac{29}{20} tot de macht van 6 en krijg \frac{594823321}{64000000}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \frac{594823321}{64000000}$$

Vermenigvuldig 5000 en \frac{594823321}{64000000} om \frac{594823321}{12800} te krijgen.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-\frac{594823321}{12800}$$

Trek \frac{594823321}{12800} af van \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} om \frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} te krijgen.

$$B\times 6-A\times 6=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Vermenigvuldig -1 en 6 om -6 te krijgen.

$$B\times 6-6A=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Trek aan beide kanten B\times 6 af.

$$-6A=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-B\times 6$$

De vergelijking heeft de standaardvorm.

$$-6A=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B$$

Deel beide zijden van de vergelijking door -6.

$$\frac{-6A}{-6}=\frac{\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B}{-6}$$

Delen door -6 maakt de vermenigvuldiging met -6 ongedaan.

$$A=\frac{\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B}{-6}$$

Deel \frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B door -6.

$$A=B-\frac{24265751938706103774328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000}$$

Oplossen voor B

$$B = \frac{24265751938706103774328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000} = 3615\frac{5,897602706102325 \times 10^{51}}{6,710886400000001 \times 10^{51}} = 3615,878811285809$$

Stappen voor oplossen lineaire vergelijking

Vereenvoudig de breuk \frac{46}{100} tot de kleinste termen door 2 af te trekken en weg te strepen.

$$B\times 6-A\times 6=5000\left(1+\frac{\frac{23}{50}}{4}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

Druk \frac{\frac{23}{50}}{4} uit als een enkele breuk.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{50\times 4}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

Vermenigvuldig 50 en 4 om 200 te krijgen.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{200}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

Tel 1 en \frac{23}{200} op om \frac{223}{200} te krijgen.

$$B\times 6-A\times 6=5000\times \left(\frac{223}{200}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

Bereken \frac{223}{200} tot de macht van 24 en krijg \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}.

$$B\times 6-A\times 6=5000\times \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{100}\right)^{6}$$

Vermenigvuldig 5000 en \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} om \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} te krijgen.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{100}\right)^{6}$$

Vereenvoudig de breuk \frac{45}{100} tot de kleinste termen door 5 af te trekken en weg te strepen.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{9}{20}\right)^{6}$$

Tel 1 en \frac{9}{20} op om \frac{29}{20} te krijgen.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \left(\frac{29}{20}\right)^{6}$$

Bereken \frac{29}{20} tot de macht van 6 en krijg \frac{594823321}{64000000}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \frac{594823321}{64000000}$$

Vermenigvuldig 5000 en \frac{594823321}{64000000} om \frac{594823321}{12800} te krijgen.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-\frac{594823321}{12800}$$

Trek \frac{594823321}{12800} af van \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} om \frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} te krijgen.

$$B\times 6-A\times 6=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Voeg A\times 6 toe aan beide zijden.

$$B\times 6=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+A\times 6$$

De vergelijking heeft de standaardvorm.

$$6B=6A+\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Deel beide zijden van de vergelijking door 6.

$$\frac{6B}{6}=\frac{6A+\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}}{6}$$

Delen door 6 maakt de vermenigvuldiging met 6 ongedaan.

$$B=\frac{6A+\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}}{6}$$

Deel \frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+6A door 6.

$$B=A+\frac{24265751938706103774328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000}$$