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

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

Resolver A

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

Pasos da solución

Divide i entre 100 para obter \frac{1}{100}i.

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

Calcula 1+\frac{1}{100}i á potencia de 2 e obtén \frac{9999}{10000}+\frac{1}{50}i.

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

Resolver P

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

Pasos para resolver unha ecuación lineal

Divide i entre 100 para obter \frac{1}{100}i.

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

Calcula 1+\frac{1}{100}i á potencia de 2 e obtén \frac{9999}{10000}+\frac{1}{50}i.

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

Cambia de lado para que todos os termos variables estean no lado esquerdo.

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

A ecuación está en forma estándar.

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

Divide ambos lados entre \frac{9999}{10000}+\frac{1}{50}i.

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

A división entre \frac{9999}{10000}+\frac{1}{50}i desfai a multiplicación por \frac{9999}{10000}+\frac{1}{50}i.

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

Divide A entre \frac{9999}{10000}+\frac{1}{50}i.

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