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

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

Calcula

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

Passos de solució

Sumeu 1 més \frac{7}{100} per obtenir \frac{107}{100}.

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

Calculeu \frac{107}{100} elevat a 5 per obtenir \frac{14025517307}{10000000000}.

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

Resteu \frac{14025517307}{10000000000} de 1 per obtenir \frac{4025517307}{10000000000}.

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

Dividiu \frac{4025517307}{10000000000} per \frac{7}{100} multiplicant \frac{4025517307}{10000000000} pel recíproc de \frac{7}{100}.

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

Multipliqueu \frac{4025517307}{10000000000} per \frac{100}{7} per obtenir \frac{575073901}{100000000}.

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

Multipliqueu 200000 per \frac{575073901}{100000000} per obtenir \frac{575073901}{500}.

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

Factoritzar

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