100*(1+5%/12)^12= eching

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

Baholash

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

Yechim qadamlari

\frac{\frac{5}{100}}{12} ni yagona kasrga aylantiring.

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

1200 hosil qilish uchun 100 va 12 ni ko'paytirish.

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

\frac{5}{1200} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{241}{240} olish uchun 1 va \frac{1}{240}'ni qo'shing.

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

12 daraja ko‘rsatkichini \frac{241}{240} ga hisoblang va \frac{38388797722185519065061084481}{36520347436056576000000000000} ni qiymatni oling.

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

\frac{38388797722185519065061084481}{365203474360565760000000000} hosil qilish uchun 100 va \frac{38388797722185519065061084481}{36520347436056576000000000000} ni ko'paytirish.

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

Omil

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