Solve S=(300)[(1.012)^8-1/0.012]

$$S = ( 300 ) [ \frac { ( 1.012 ) ^ { 8 } - 1 } { 0.012 } ]$$

Solve for S

$$S=2503.2558384621659111424$$

Steps for Solving Linear Equation

Calculate 1.012 to the power of 8 and get 1.100130233538486636445696.

$$S=300\times \frac{1.100130233538486636445696-1}{0.012}$$

Subtract 1 from 1.100130233538486636445696 to get 0.100130233538486636445696.

$$S=300\times \frac{0.100130233538486636445696}{0.012}$$

Expand \frac{0.100130233538486636445696}{0.012} by multiplying both numerator and the denominator by 1000000000000000000000000.

$$S=300\times \frac{100130233538486636445696}{12000000000000000000000}$$

Reduce the fraction \frac{100130233538486636445696}{12000000000000000000000} to lowest terms by extracting and canceling out 196608.

$$S=300\times \frac{509288704114210187}{61035156250000000}$$

Express 300\times \frac{509288704114210187}{61035156250000000} as a single fraction.

$$S=\frac{300\times 509288704114210187}{61035156250000000}$$

Multiply 300 and 509288704114210187 to get 152786611234263056100.

$$S=\frac{152786611234263056100}{61035156250000000}$$

Reduce the fraction \frac{152786611234263056100}{61035156250000000} to lowest terms by extracting and canceling out 100.

$$S=\frac{1527866112342630561}{610351562500000}$$

Assign S

$$S≔2503.2558384621659111424$$