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

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

Cari nilai A

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

Langkah Penyelesaian Persamaan Linear

Kurangi pecahan \frac{46}{100} ke suku terendah dengan mengekstraksi dan membatalkan 2.

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

Nyatakan \frac{\frac{23}{50}}{4} sebagai pecahan tunggal.

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

Kalikan 50 dan 4 untuk mendapatkan 200.

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

Tambahkan 1 dan \frac{23}{200} untuk mendapatkan \frac{223}{200}.

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

Hitung \frac{223}{200} sampai pangkat 24 dan dapatkan \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}.

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

Kalikan 5000 dan \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} untuk mendapatkan \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}.

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

Kurangi pecahan \frac{45}{100} ke suku terendah dengan mengekstraksi dan membatalkan 5.

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

Tambahkan 1 dan \frac{9}{20} untuk mendapatkan \frac{29}{20}.

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

Hitung \frac{29}{20} sampai pangkat 6 dan dapatkan \frac{594823321}{64000000}.

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

Kalikan 5000 dan \frac{594823321}{64000000} untuk mendapatkan \frac{594823321}{12800}.

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

Kurangi \frac{594823321}{12800} dari \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} untuk mendapatkan \frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}.

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

Kalikan -1 dan 6 untuk mendapatkan -6.

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

Kurangi B\times 6 dari kedua sisi.

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

Persamaan berada dalam bentuk standar.

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

Bagi kedua sisi dengan -6.

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

Membagi dengan -6 membatalkan perkalian dengan -6.

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

Bagi \frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B dengan -6.

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

Cari nilai B

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

Langkah Penyelesaian Persamaan Linear

Kurangi pecahan \frac{46}{100} ke suku terendah dengan mengekstraksi dan membatalkan 2.

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

Nyatakan \frac{\frac{23}{50}}{4} sebagai pecahan tunggal.

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

Kalikan 50 dan 4 untuk mendapatkan 200.

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

Tambahkan 1 dan \frac{23}{200} untuk mendapatkan \frac{223}{200}.

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

Hitung \frac{223}{200} sampai pangkat 24 dan dapatkan \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}.

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

Kalikan 5000 dan \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} untuk mendapatkan \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}.

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

Kurangi pecahan \frac{45}{100} ke suku terendah dengan mengekstraksi dan membatalkan 5.

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

Tambahkan 1 dan \frac{9}{20} untuk mendapatkan \frac{29}{20}.

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

Hitung \frac{29}{20} sampai pangkat 6 dan dapatkan \frac{594823321}{64000000}.

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

Kalikan 5000 dan \frac{594823321}{64000000} untuk mendapatkan \frac{594823321}{12800}.

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

Kurangi \frac{594823321}{12800} dari \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} untuk mendapatkan \frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}.

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

Tambahkan A\times 6 ke kedua sisi.

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

Persamaan berada dalam bentuk standar.

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

Bagi kedua sisi dengan 6.

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

Membagi dengan 6 membatalkan perkalian dengan 6.

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

Bagi \frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+6A dengan 6.

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