Solve 100/0.1((1+0.1)^5-1)=

$$\frac { 100 } { 0.1 } ( ( 1 + 0.1 ) ^ { 5 } - 1 ) =$$

Evaluate

$$610.51$$

Solution Steps

Expand \frac{100}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$1000\left(\left(1+0.1\right)^{5}-1\right)$$

Add 1 and 0.1 to get 1.1.

$$1000\left(1.1^{5}-1\right)$$

Calculate 1.1 to the power of 5 and get 1.61051.

$$1000\left(1.61051-1\right)$$

Subtract 1 from 1.61051 to get 0.61051.

$$1000\times 0.61051$$

Multiply 1000 and 0.61051 to get 610.51.

$$610.51$$

Factor

$$\frac{61051}{2 ^ {2} \cdot 5 ^ {2}} = 610\frac{51}{100} = 610.51$$