Solve 1-700[(1+0.035)^10-1/0.035]

$$1 - 700 [ \frac { ( 1 + 0.035 ) ^ { 10 } - 1 } { 0.035 } ]$$

Evaluate

$$-8210.9752124224436502439453125$$

Solution Steps

Add 1 and 0.035 to get 1.035.

$$1-700\times \frac{1.035^{10}-1}{0.035}$$

Calculate 1.035 to the power of 10 and get 1.410598760621122182512197265625.

$$1-700\times \frac{1.410598760621122182512197265625-1}{0.035}$$

Subtract 1 from 1.410598760621122182512197265625 to get 0.410598760621122182512197265625.

$$1-700\times \frac{0.410598760621122182512197265625}{0.035}$$

Expand \frac{0.410598760621122182512197265625}{0.035} by multiplying both numerator and the denominator by 1000000000000000000000000000000.

$$1-700\times \frac{410598760621122182512197265625}{35000000000000000000000000000}$$

Reduce the fraction \frac{410598760621122182512197265625}{35000000000000000000000000000} to lowest terms by extracting and canceling out 68359375.

$$1-700\times \frac{6006473298228987355607}{512000000000000000000}$$

Multiply 700 and \frac{6006473298228987355607}{512000000000000000000} to get \frac{42045313087602911489249}{5120000000000000000}.

$$1-\frac{42045313087602911489249}{5120000000000000000}$$

Subtract \frac{42045313087602911489249}{5120000000000000000} from 1 to get -\frac{42040193087602911489249}{5120000000000000000}.

$$-\frac{42040193087602911489249}{5120000000000000000}$$

Factor

$$-8210.9752124224436502439453125$$