Solve 9.600*0,9/(1+0,05)^1+8.800*0,7/(1+0,005)^2

$$\frac { 9.600 \cdot 0,9 } { ( 1 + 0,05 ) ^ { 1 } } + \frac { 8.800 \cdot 0,7 } { ( 1 + 0,005 ) ^ { 2 } }$$

Evaluate

$$\frac{2518}{175}\approx 14.388571429$$

Solution Steps

Multiply 9.6 and 0.9 to get 8.64.

$$\frac{8.64}{\left(1+0.05\right)^{1}}+\frac{8.8\times 0.7}{\left(1+0\times 0\times 0\times 5\right)^{2}}$$

Add 1 and 0.05 to get 1.05.

$$\frac{8.64}{1.05^{1}}+\frac{8.8\times 0.7}{\left(1+0\times 0\times 0\times 5\right)^{2}}$$

Calculate 1.05 to the power of 1 and get 1.05.

$$\frac{8.64}{1.05}+\frac{8.8\times 0.7}{\left(1+0\times 0\times 0\times 5\right)^{2}}$$

Expand \frac{8.64}{1.05} by multiplying both numerator and the denominator by 100.

$$\frac{864}{105}+\frac{8.8\times 0.7}{\left(1+0\times 0\times 0\times 5\right)^{2}}$$

Reduce the fraction \frac{864}{105} to lowest terms by extracting and canceling out 3.

$$\frac{288}{35}+\frac{8.8\times 0.7}{\left(1+0\times 0\times 0\times 5\right)^{2}}$$

Multiply 8.8 and 0.7 to get 6.16.

$$\frac{288}{35}+\frac{6.16}{\left(1+0\times 0\times 0\times 5\right)^{2}}$$

Multiply 0 and 0 to get 0.

$$\frac{288}{35}+\frac{6.16}{\left(1+0\times 0\times 5\right)^{2}}$$

Multiply 0 and 0 to get 0.

$$\frac{288}{35}+\frac{6.16}{\left(1+0\times 5\right)^{2}}$$

Multiply 0 and 5 to get 0.

$$\frac{288}{35}+\frac{6.16}{\left(1+0\right)^{2}}$$

Add 1 and 0 to get 1.

$$\frac{288}{35}+\frac{6.16}{1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{288}{35}+\frac{6.16}{1}$$

Anything divided by one gives itself.

$$\frac{288}{35}+6.16$$

Add \frac{288}{35} and 6.16 to get \frac{2518}{175}.

$$\frac{2518}{175}$$

Factor

$$\frac{2 \cdot 1259}{7 \cdot 5 ^ {2}} = 14\frac{68}{175} = 14.388571428571428$$