Solve 1000*0.07left(1-1.07^-6right)/0.07+1000/1.07^6

$$\frac{ 1000 \cdot 0.07 \left( 1- { 1.07 }^{ -6 } \right) }{ 0.07 } + \frac{ 1000 }{ { 1.07 }^{ 6 } }$$

Evaluate

$$1000$$

Solution Steps

Cancel out 0.07 and 0.07.

$$1000\left(1-1.07^{-6}\right)+\frac{1000}{1.07^{6}}$$

Calculate 1.07 to the power of 6 and get 1.500730351849.

$$1000\left(1-1.07^{-6}\right)+\frac{1000}{1.500730351849}$$

Expand \frac{1000}{1.500730351849} by multiplying both numerator and the denominator by 1000000000000.

$$1000\left(1-1.07^{-6}\right)+\frac{1000000000000000}{1500730351849}$$

Calculate 1.07 to the power of -6 and get \frac{1000000000000}{1500730351849}.

$$1000\left(1-\frac{1000000000000}{1500730351849}\right)+\frac{1000000000000000}{1500730351849}$$

Subtract \frac{1000000000000}{1500730351849} from 1 to get \frac{500730351849}{1500730351849}.

$$1000\times \frac{500730351849}{1500730351849}+\frac{1000000000000000}{1500730351849}$$

Multiply 1000 and \frac{500730351849}{1500730351849} to get \frac{500730351849000}{1500730351849}.

$$\frac{500730351849000}{1500730351849}+\frac{1000000000000000}{1500730351849}$$

Add \frac{500730351849000}{1500730351849} and \frac{1000000000000000}{1500730351849} to get 1000.

$$1000$$

Factor

$$2^{3}\times 5^{3}$$