Solve 0.03*(1-0.97^9)+0.05*0.97^9=

$$0.03 \times (1- { 0.97 }^{ 9 } )+0.05 \times { 0.97 }^{ 9 } =$$

Evaluate

$$0.04520462117309130434$$

Solution Steps

Calculate 0.97 to the power of 9 and get 0.760231058654565217.

$$0.03\left(1-0.760231058654565217\right)+0.05\times 0.97^{9}$$

Subtract 0.760231058654565217 from 1 to get 0.239768941345434783.

$$0.03\times 0.239768941345434783+0.05\times 0.97^{9}$$

Multiply 0.03 and 0.239768941345434783 to get 0.00719306824036304349.

$$0.00719306824036304349+0.05\times 0.97^{9}$$

Calculate 0.97 to the power of 9 and get 0.760231058654565217.

$$0.00719306824036304349+0.05\times 0.760231058654565217$$

Multiply 0.05 and 0.760231058654565217 to get 0.03801155293272826085.

$$0.00719306824036304349+0.03801155293272826085$$

Add 0.00719306824036304349 and 0.03801155293272826085 to get 0.04520462117309130434.

$$0.04520462117309130434$$

Factor

$$\frac{13 \cdot 79 \cdot 101 \cdot 911 \cdot 23918979361}{2 ^ {19} \cdot 5 ^ {20}} = 0.045204621173091306$$