Atrisiniet 200000*(1+7%)^5-1/7%=

$$200000 \times \frac { ( 1 + 7 \% ) ^ { 5 } - 1 } { 7 \% } =$$

Izrēķināt

$$\frac{575073901}{500}=1150147,802$$

Atrisinājuma darbības

Saskaitiet 1 un \frac{7}{100}, lai iegūtu \frac{107}{100}.

$$200000\times \frac{\left(\frac{107}{100}\right)^{5}-1}{\frac{7}{100}}$$

Aprēķiniet \frac{107}{100} pakāpē 5 un iegūstiet \frac{14025517307}{10000000000}.

$$200000\times \frac{\frac{14025517307}{10000000000}-1}{\frac{7}{100}}$$

Atņemiet 1 no \frac{14025517307}{10000000000}, lai iegūtu \frac{4025517307}{10000000000}.

$$200000\times \frac{\frac{4025517307}{10000000000}}{\frac{7}{100}}$$

Daliet \frac{4025517307}{10000000000} ar \frac{7}{100}, reizinot \frac{4025517307}{10000000000} ar apgriezto daļskaitli \frac{7}{100} .

$$200000\times \frac{4025517307}{10000000000}\times \frac{100}{7}$$

Reiziniet \frac{4025517307}{10000000000} un \frac{100}{7}, lai iegūtu \frac{575073901}{100000000}.

$$200000\times \frac{575073901}{100000000}$$

Reiziniet 200000 un \frac{575073901}{100000000}, lai iegūtu \frac{575073901}{500}.

$$\frac{575073901}{500}$$

Sadalīt reizinātājos

$$\frac{31 \cdot 61 \cdot 101 \cdot 3011}{2 ^ {2} \cdot 5 ^ {3}} = 1150147\frac{401}{500} = 1150147,802$$