Issolvi 20000*(1/0.08-1/0.08*1.08^12)div12=

$$20000 \times ( \frac{ 1 }{ 0.08 } - \frac{ 1 }{ 0.08 \times { 1.08 }^{ 12 } } ) \div 12=$$

Evalwa

$$\frac{5655624407600531000000}{450283905890997363}\approx 12560.130028209$$

Passi tas-Soluzzjonijiet

Espandi \frac{1}{0.08} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$\frac{20000\left(\frac{100}{8}-\frac{1}{0.08\times 1.08^{12}}\right)}{12}$$

Naqqas il-frazzjoni \frac{100}{8} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{20000\left(\frac{25}{2}-\frac{1}{0.08\times 1.08^{12}}\right)}{12}$$

Ikkalkula 1.08 bil-power ta' 12 u tikseb 2.518170116818978404827136.

$$\frac{20000\left(\frac{25}{2}-\frac{1}{0.08\times 2.518170116818978404827136}\right)}{12}$$

Immultiplika 0.08 u 2.518170116818978404827136 biex tikseb 0.20145360934551827238617088.

$$\frac{20000\left(\frac{25}{2}-\frac{1}{0.20145360934551827238617088}\right)}{12}$$

Espandi \frac{1}{0.20145360934551827238617088} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100000000000000000000000000.

$$\frac{20000\left(\frac{25}{2}-\frac{100000000000000000000000000}{20145360934551827238617088}\right)}{12}$$

Naqqas il-frazzjoni \frac{100000000000000000000000000}{20145360934551827238617088} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 67108864.

$$\frac{20000\left(\frac{25}{2}-\frac{1490116119384765625}{300189270593998242}\right)}{12}$$

L-inqas multipli komuni ta' 2 u 300189270593998242 huwa 300189270593998242. Ikkonverti \frac{25}{2} u \frac{1490116119384765625}{300189270593998242} fi frazzjonijiet bid-denominatur 300189270593998242.

$$\frac{20000\left(\frac{3752365882424978025}{300189270593998242}-\frac{1490116119384765625}{300189270593998242}\right)}{12}$$

Billi \frac{3752365882424978025}{300189270593998242} u \frac{1490116119384765625}{300189270593998242} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{20000\times \frac{3752365882424978025-1490116119384765625}{300189270593998242}}{12}$$

Naqqas 1490116119384765625 minn 3752365882424978025 biex tikseb 2262249763040212400.

$$\frac{20000\times \frac{2262249763040212400}{300189270593998242}}{12}$$

Naqqas il-frazzjoni \frac{2262249763040212400}{300189270593998242} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{20000\times \frac{1131124881520106200}{150094635296999121}}{12}$$

Esprimi 20000\times \frac{1131124881520106200}{150094635296999121} bħala frazzjoni waħda.

$$\frac{\frac{20000\times 1131124881520106200}{150094635296999121}}{12}$$

Immultiplika 20000 u 1131124881520106200 biex tikseb 22622497630402124000000.

$$\frac{\frac{22622497630402124000000}{150094635296999121}}{12}$$

Esprimi \frac{\frac{22622497630402124000000}{150094635296999121}}{12} bħala frazzjoni waħda.

$$\frac{22622497630402124000000}{150094635296999121\times 12}$$

Immultiplika 150094635296999121 u 12 biex tikseb 1801135623563989452.

$$\frac{22622497630402124000000}{1801135623563989452}$$

Naqqas il-frazzjoni \frac{22622497630402124000000}{1801135623563989452} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{5655624407600531000000}{450283905890997363}$$

Fattur

$$\frac{7 \cdot 13 \cdot 97 \cdot 677 \cdot 2029 \cdot 466441 \cdot 2 ^ {6} \cdot 5 ^ {6}}{3 ^ {37}} = 12560\frac{58549609603938300}{4.502839058909974 \times 10^{17}} = 12560.13002820851$$