Resolver (1.05)(1.15)/(1+0.05)+(1.05)(1.15)^2+29.16/(1+0.05)^2

$$\frac { ( 1.05 ) ( 1.15 ) } { ( 1 + 0.05 ) } + \frac { ( 1.05 ) ( 1.15 ) ^ { 2 } + 29.16 } { ( 1 + 0.05 ) ^ { 2 } }$$

Calcular

$$\frac{21211}{735}\approx 28.858503401$$

Pasos da solución

Multiplica 1.05 e 1.15 para obter 1.2075.

$$\frac{1.2075}{1+0.05}+\frac{1.05\times 1.15^{2}+29.16}{\left(1+0.05\right)^{2}}$$

Suma 1 e 0.05 para obter 1.05.

$$\frac{1.2075}{1.05}+\frac{1.05\times 1.15^{2}+29.16}{\left(1+0.05\right)^{2}}$$

Expande \frac{1.2075}{1.05} multiplicando o numerador e o denominador por 10000.

$$\frac{12075}{10500}+\frac{1.05\times 1.15^{2}+29.16}{\left(1+0.05\right)^{2}}$$

Reduce a fracción \frac{12075}{10500} a termos máis baixos extraendo e cancelando 525.

$$\frac{23}{20}+\frac{1.05\times 1.15^{2}+29.16}{\left(1+0.05\right)^{2}}$$

Calcula 1.15 á potencia de 2 e obtén 1.3225.

$$\frac{23}{20}+\frac{1.05\times 1.3225+29.16}{\left(1+0.05\right)^{2}}$$

Multiplica 1.05 e 1.3225 para obter 1.388625.

$$\frac{23}{20}+\frac{1.388625+29.16}{\left(1+0.05\right)^{2}}$$

Suma 1.388625 e 29.16 para obter 30.548625.

$$\frac{23}{20}+\frac{30.548625}{\left(1+0.05\right)^{2}}$$

Suma 1 e 0.05 para obter 1.05.

$$\frac{23}{20}+\frac{30.548625}{1.05^{2}}$$

Calcula 1.05 á potencia de 2 e obtén 1.1025.

$$\frac{23}{20}+\frac{30.548625}{1.1025}$$

Expande \frac{30.548625}{1.1025} multiplicando o numerador e o denominador por 1000000.

$$\frac{23}{20}+\frac{30548625}{1102500}$$

Reduce a fracción \frac{30548625}{1102500} a termos máis baixos extraendo e cancelando 375.

$$\frac{23}{20}+\frac{81463}{2940}$$

Suma \frac{23}{20} e \frac{81463}{2940} para obter \frac{21211}{735}.

$$\frac{21211}{735}$$

Factorizar

$$\frac{21211}{3 \cdot 5 \cdot 7 ^ {2}} = 28\frac{631}{735} = 28.858503401360544$$