Issolvi 100(1-1/1.01^5)+100/1.01

$$100 ( 1 - \frac { 1 } { 1.01 ^ { 5 } } ) + \frac { 100 } { 1.01 }$$

Evalwa

$$\frac{1091614060100}{10510100501}\approx 103.863332229$$

Passi tas-Soluzzjonijiet

Ikkalkula 1.01 bil-power ta' 5 u tikseb 1.0510100501.

$$100\left(1-\frac{1}{1.0510100501}\right)+\frac{100}{1.01}$$

Espandi \frac{1}{1.0510100501} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000.

$$100\left(1-\frac{10000000000}{10510100501}\right)+\frac{100}{1.01}$$

Ikkonverti 1 fi frazzjoni \frac{10510100501}{10510100501}.

$$100\left(\frac{10510100501}{10510100501}-\frac{10000000000}{10510100501}\right)+\frac{100}{1.01}$$

Billi \frac{10510100501}{10510100501} u \frac{10000000000}{10510100501} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$100\times \frac{10510100501-10000000000}{10510100501}+\frac{100}{1.01}$$

Naqqas 10000000000 minn 10510100501 biex tikseb 510100501.

$$100\times \frac{510100501}{10510100501}+\frac{100}{1.01}$$

Esprimi 100\times \frac{510100501}{10510100501} bħala frazzjoni waħda.

$$\frac{100\times 510100501}{10510100501}+\frac{100}{1.01}$$

Immultiplika 100 u 510100501 biex tikseb 51010050100.

$$\frac{51010050100}{10510100501}+\frac{100}{1.01}$$

Espandi \frac{100}{1.01} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$\frac{51010050100}{10510100501}+\frac{10000}{101}$$

L-inqas multipli komuni ta' 10510100501 u 101 huwa 10510100501. Ikkonverti \frac{51010050100}{10510100501} u \frac{10000}{101} fi frazzjonijiet bid-denominatur 10510100501.

$$\frac{51010050100}{10510100501}+\frac{1040604010000}{10510100501}$$

Billi \frac{51010050100}{10510100501} u \frac{1040604010000}{10510100501} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{51010050100+1040604010000}{10510100501}$$

Żid 51010050100 u 1040604010000 biex tikseb 1091614060100.

$$\frac{1091614060100}{10510100501}$$

Fattur

$$\frac{53 \cdot 127 \cdot 1621771 \cdot 2 ^ {2} \cdot 5 ^ {2}}{101 ^ {5}} = 103\frac{9073708497}{10510100501} = 103.86333222942413$$