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

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

Evalwa

$$100$$

Passi tas-Soluzzjonijiet

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

$$100\left(1-\frac{1}{1.0510100501}\right)+\frac{100}{1.01^{5}}$$

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

$$100\left(1-\frac{10000000000}{10510100501}\right)+\frac{100}{1.01^{5}}$$

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

$$100\left(\frac{10510100501}{10510100501}-\frac{10000000000}{10510100501}\right)+\frac{100}{1.01^{5}}$$

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

$$100\times \frac{10510100501-10000000000}{10510100501}+\frac{100}{1.01^{5}}$$

Naqqas 10000000000 minn 10510100501 biex tikseb 510100501.

$$100\times \frac{510100501}{10510100501}+\frac{100}{1.01^{5}}$$

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

$$\frac{100\times 510100501}{10510100501}+\frac{100}{1.01^{5}}$$

Immultiplika 100 u 510100501 biex tikseb 51010050100.

$$\frac{51010050100}{10510100501}+\frac{100}{1.01^{5}}$$

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

$$\frac{51010050100}{10510100501}+\frac{100}{1.0510100501}$$

Espandi \frac{100}{1.0510100501} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000.

$$\frac{51010050100}{10510100501}+\frac{1000000000000}{10510100501}$$

Billi \frac{51010050100}{10510100501} u \frac{1000000000000}{10510100501} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{51010050100+1000000000000}{10510100501}$$

Żid 51010050100 u 1000000000000 biex tikseb 1051010050100.

$$\frac{1051010050100}{10510100501}$$

Iddividi 1051010050100 b'10510100501 biex tikseb100.

$$100$$

Fattur

$$2^{2}\times 5^{2}$$