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

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

Arvuta

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

Lahenduse etapid

Liitke 1 ja \frac{7}{100}, et leida \frac{107}{100}.

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

Arvutage 5 aste \frac{107}{100} ja leidke \frac{14025517307}{10000000000}.

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

Lahutage 1 väärtusest \frac{14025517307}{10000000000}, et leida \frac{4025517307}{10000000000}.

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

Jagage \frac{4025517307}{10000000000} väärtusega \frac{7}{100}, korrutades \frac{4025517307}{10000000000} väärtuse \frac{7}{100} pöördväärtusega.

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

Korrutage \frac{4025517307}{10000000000} ja \frac{100}{7}, et leida \frac{575073901}{100000000}.

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

Korrutage 200000 ja \frac{575073901}{100000000}, et leida \frac{575073901}{500}.

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

Lahuta teguriteks

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