Solve 100/0.05((1+0.05)^5-1)

$$\frac { 100 } { 0.05 } ( ( 1 + 0.05 ) ^ { 5 } - 1 )$$

Evaluate

$$552.563125$$

Solution Steps

Expand \frac{100}{0.05} by multiplying both numerator and the denominator by 100.

$$\frac{10000}{5}\left(\left(1+0.05\right)^{5}-1\right)$$

Divide 10000 by 5 to get 2000.

$$2000\left(\left(1+0.05\right)^{5}-1\right)$$

Add 1 and 0.05 to get 1.05.

$$2000\left(1.05^{5}-1\right)$$

Calculate 1.05 to the power of 5 and get 1.2762815625.

$$2000\left(1.2762815625-1\right)$$

Subtract 1 from 1.2762815625 to get 0.2762815625.

$$2000\times 0.2762815625$$

Multiply 2000 and 0.2762815625 to get 552.563125.

$$552.563125$$

Factor

$$\frac{331 \cdot 2671}{2 ^ {6} \cdot 5 ^ {2}} = 552\frac{901}{1600} = 552.563125$$