Riješi 100*(1+5%/12)^12=

$$100 \times ( 1 + \frac { 5 \% } { 12 } ) ^ { 12 } =$$

Procijeni

$$\frac{38388797722185519065061084481}{365203474360565760000000000}\approx 105,116189788$$

Koraci za rješenje

Izrazite \frac{\frac{5}{100}}{12} kao jedan razlomak.

$$100\left(1+\frac{5}{100\times 12}\right)^{12}$$

Pomnožite 100 i 12 da biste dobili 1200.

$$100\left(1+\frac{5}{1200}\right)^{12}$$

Svedite razlomak \frac{5}{1200} na najprostije elemente rastavlјanjem i kraćenjem 5.

$$100\left(1+\frac{1}{240}\right)^{12}$$

Saberite 1 i \frac{1}{240} da biste dobili \frac{241}{240}.

$$100\times \left(\frac{241}{240}\right)^{12}$$

Izračunajte \frac{241}{240} stepen od 12 i dobijte \frac{38388797722185519065061084481}{36520347436056576000000000000}.

$$100\times \frac{38388797722185519065061084481}{36520347436056576000000000000}$$

Pomnožite 100 i \frac{38388797722185519065061084481}{36520347436056576000000000000} da biste dobili \frac{38388797722185519065061084481}{365203474360565760000000000}.

$$\frac{38388797722185519065061084481}{365203474360565760000000000}$$

Faktor

$$\frac{241 ^ {12}}{2 ^ {46} \cdot 3 ^ {12} \cdot 5 ^ {10}} = 105\frac{4,243291432611261 \times 10^{25}}{3,6520347436056575 \times 10^{26}} = 105,11618978817332$$