Atrisiniet A=P(1+i/100)^2

$$A = P ( 1 + \frac { i } { 100 } ) ^ { 2 }$$

Atrast A

$$A=\left(\frac{9999}{10000}+\frac{1}{50}i\right)P$$

Atrisinājuma darbības

Daliet i ar 100, lai iegūtu \frac{1}{100}i.

$$A=P\left(1+\frac{1}{100}i\right)^{2}$$

Aprēķiniet 1+\frac{1}{100}i pakāpē 2 un iegūstiet \frac{9999}{10000}+\frac{1}{50}i.

$$A=P\left(\frac{9999}{10000}+\frac{1}{50}i\right)$$

Atrast P

$$P=\left(\frac{99990000}{100020001}-\frac{2000000}{100020001}i\right)A$$

Lineāra vienādojuma risināšanas darbības

Daliet i ar 100, lai iegūtu \frac{1}{100}i.

$$A=P\left(1+\frac{1}{100}i\right)^{2}$$

Aprēķiniet 1+\frac{1}{100}i pakāpē 2 un iegūstiet \frac{9999}{10000}+\frac{1}{50}i.

$$A=P\left(\frac{9999}{10000}+\frac{1}{50}i\right)$$

Mainiet puses tā, lai visi mainīgie locekļi atrastos pa kreisi.

$$P\left(\frac{9999}{10000}+\frac{1}{50}i\right)=A$$

Vienādojums ir standarta formā.

$$\left(\frac{9999}{10000}+\frac{1}{50}i\right)P=A$$

Daliet abas puses ar \frac{9999}{10000}+\frac{1}{50}i.

$$\frac{\left(\frac{9999}{10000}+\frac{1}{50}i\right)P}{\frac{9999}{10000}+\frac{1}{50}i}=\frac{A}{\frac{9999}{10000}+\frac{1}{50}i}$$

Dalīšana ar \frac{9999}{10000}+\frac{1}{50}i atsauc reizināšanu ar \frac{9999}{10000}+\frac{1}{50}i.

$$P=\frac{A}{\frac{9999}{10000}+\frac{1}{50}i}$$

Daliet A ar \frac{9999}{10000}+\frac{1}{50}i.

$$P=\left(\frac{99990000}{100020001}-\frac{2000000}{100020001}i\right)A$$