Solve 115000div(1+(115000)0.05^2

$$115000 \div (1+(115000) { 0.05 }^{ 2 }$$

Evaluate

$$\frac{230000}{577}\approx 398.613518198$$

Solution Steps

Calculate 0.05 to the power of 2 and get 0.0025.

$$\frac{115000}{1+115000\times 0.0025}$$

Multiply 115000 and 0.0025 to get 287.5.

$$\frac{115000}{1+287.5}$$

Add 1 and 287.5 to get 288.5.

$$\frac{115000}{288.5}$$

Expand \frac{115000}{288.5} by multiplying both numerator and the denominator by 10.

$$\frac{1150000}{2885}$$

Reduce the fraction \frac{1150000}{2885} to lowest terms by extracting and canceling out 5.

$$\frac{230000}{577}$$

Factor

$$\frac{23 \cdot 2 ^ {4} \cdot 5 ^ {4}}{577} = 398\frac{354}{577} = 398.6135181975737$$