Atrisiniet (1+15%)^12-1/15%

$$\frac { ( 1 + 15 \% ) ^ { 12 } - 1 } { 15 \% }$$

Izrēķināt

$$\frac{5939541477340107}{204800000000000}\approx 29,00166737$$

Atrisinājuma darbības

Vienādot daļskaitli \frac{15}{100} līdz mazākajam loceklim, izvelkot un saīsinot 5.

$$\frac{\left(1+\frac{3}{20}\right)^{12}-1}{\frac{15}{100}}$$

Saskaitiet 1 un \frac{3}{20}, lai iegūtu \frac{23}{20}.

$$\frac{\left(\frac{23}{20}\right)^{12}-1}{\frac{15}{100}}$$

Aprēķiniet \frac{23}{20} pakāpē 12 un iegūstiet \frac{21914624432020321}{4096000000000000}.

$$\frac{\frac{21914624432020321}{4096000000000000}-1}{\frac{15}{100}}$$

Atņemiet 1 no \frac{21914624432020321}{4096000000000000}, lai iegūtu \frac{17818624432020321}{4096000000000000}.

$$\frac{\frac{17818624432020321}{4096000000000000}}{\frac{15}{100}}$$

Vienādot daļskaitli \frac{15}{100} līdz mazākajam loceklim, izvelkot un saīsinot 5.

$$\frac{\frac{17818624432020321}{4096000000000000}}{\frac{3}{20}}$$

Daliet \frac{17818624432020321}{4096000000000000} ar \frac{3}{20}, reizinot \frac{17818624432020321}{4096000000000000} ar apgriezto daļskaitli \frac{3}{20} .

$$\frac{17818624432020321}{4096000000000000}\times \frac{20}{3}$$

Reiziniet \frac{17818624432020321}{4096000000000000} un \frac{20}{3}, lai iegūtu \frac{5939541477340107}{204800000000000}.

$$\frac{5939541477340107}{204800000000000}$$

Sadalīt reizinātājos

$$\frac{3 \cdot 7 \cdot 13 \cdot 43 \cdot 67 \cdot 97 \cdot 181 \cdot 463 \cdot 929}{2 ^ {22} \cdot 5 ^ {11}} = 29\frac{341477340107}{204800000000000} = 29,00166736982474$$