Issolvi 10,000/105^5+685/0.05*(1-1/1.05^5)

$$\frac { 10,000 } { 105 ^ { 5 } } + \frac { 685 } { 0.05 } \cdot ( 1 - \frac { 1 } { 1.05 ^ { 5 } } )$$

Evalwa

$$\frac{12112183700}{4084101}\approx 2965.691519382$$

Passi tas-Soluzzjonijiet

Immultiplika 10 u 0 biex tikseb 0.

$$\frac{0\times 0\times 0}{105^{5}}+\frac{685}{0.05}\left(1-\frac{1}{1.05^{5}}\right)$$

Immultiplika 0 u 0 biex tikseb 0.

$$\frac{0\times 0}{105^{5}}+\frac{685}{0.05}\left(1-\frac{1}{1.05^{5}}\right)$$

Immultiplika 0 u 0 biex tikseb 0.

$$\frac{0}{105^{5}}+\frac{685}{0.05}\left(1-\frac{1}{1.05^{5}}\right)$$

Ikkalkula 105 bil-power ta' 5 u tikseb 12762815625.

$$\frac{0}{12762815625}+\frac{685}{0.05}\left(1-\frac{1}{1.05^{5}}\right)$$

Żero diviż minn kwalunkwe numru li mhux żero jirriżulta f'żero.

$$0+\frac{685}{0.05}\left(1-\frac{1}{1.05^{5}}\right)$$

Espandi \frac{685}{0.05} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$0+\frac{68500}{5}\left(1-\frac{1}{1.05^{5}}\right)$$

Iddividi 68500 b'5 biex tikseb13700.

$$0+13700\left(1-\frac{1}{1.05^{5}}\right)$$

Ikkalkula 1.05 bil-power ta' 5 u tikseb 1.2762815625.

$$0+13700\left(1-\frac{1}{1.2762815625}\right)$$

Espandi \frac{1}{1.2762815625} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000.

$$0+13700\left(1-\frac{10000000000}{12762815625}\right)$$

Naqqas il-frazzjoni \frac{10000000000}{12762815625} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3125.

$$0+13700\left(1-\frac{3200000}{4084101}\right)$$

Ikkonverti 1 fi frazzjoni \frac{4084101}{4084101}.

$$0+13700\left(\frac{4084101}{4084101}-\frac{3200000}{4084101}\right)$$

Billi \frac{4084101}{4084101} u \frac{3200000}{4084101} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$0+13700\times \frac{4084101-3200000}{4084101}$$

Naqqas 3200000 minn 4084101 biex tikseb 884101.

$$0+13700\times \frac{884101}{4084101}$$

Esprimi 13700\times \frac{884101}{4084101} bħala frazzjoni waħda.

$$0+\frac{13700\times 884101}{4084101}$$

Immultiplika 13700 u 884101 biex tikseb 12112183700.

$$0+\frac{12112183700}{4084101}$$

Żid 0 u \frac{12112183700}{4084101} biex tikseb \frac{12112183700}{4084101}.

$$\frac{12112183700}{4084101}$$

Fattur

$$\frac{137 \cdot 331 \cdot 2671 \cdot 2 ^ {2} \cdot 5 ^ {2}}{3 ^ {5} \cdot 7 ^ {5}} = 2965\frac{2824235}{4084101} = 2965.6915193821114$$