Rešite 200000*(1+7%)^5-1/7%=

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

Ovrednoti

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

Koraki rešitve

Seštejte 1 in \frac{7}{100}, da dobite \frac{107}{100}.

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

Izračunajte potenco \frac{107}{100} števila 5, da dobite \frac{14025517307}{10000000000}.

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

Odštejte 1 od \frac{14025517307}{10000000000}, da dobite \frac{4025517307}{10000000000}.

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

Delite \frac{4025517307}{10000000000} s/z \frac{7}{100} tako, da pomnožite \frac{4025517307}{10000000000} z obratno vrednostjo \frac{7}{100}.

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

Pomnožite \frac{4025517307}{10000000000} in \frac{100}{7}, da dobite \frac{575073901}{100000000}.

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

Pomnožite 200000 in \frac{575073901}{100000000}, da dobite \frac{575073901}{500}.

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

Faktoriziraj

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