Solve S_{n}=4000*(1+0,11)^12-1/0,11

$$S _ { n } = 4000 \cdot \frac { ( 1 + 0,11 ) ^ { 12 } - 1 } { 0,11 }$$

Solve for S_n

$$S_{n}=90852,7489794776069007244$$

Steps for Solving Linear Equation

Add 1 and 0,11 to get 1,11.

$$S_{n}=4000\times \frac{1,11^{12}-1}{0,11}$$

Calculate 1,11 to the power of 12 and get 3,498450596935634189769921.

$$S_{n}=4000\times \frac{3,498450596935634189769921-1}{0,11}$$

Subtract 1 from 3,498450596935634189769921 to get 2,498450596935634189769921.

$$S_{n}=4000\times \frac{2,498450596935634189769921}{0,11}$$

Expand \frac{2,498450596935634189769921}{0,11} by multiplying both numerator and the denominator by 1000000000000000000000000.

$$S_{n}=4000\times \frac{2498450596935634189769921}{110000000000000000000000}$$

Reduce the fraction \frac{2498450596935634189769921}{110000000000000000000000} to lowest terms by extracting and canceling out 11.

$$S_{n}=4000\times \frac{227131872448694017251811}{10000000000000000000000}$$

Multiply 4000 and \frac{227131872448694017251811}{10000000000000000000000} to get \frac{227131872448694017251811}{2500000000000000000}.

$$S_{n}=\frac{227131872448694017251811}{2500000000000000000}$$

Assign S_n

$$S_{n}≔90852,7489794776069007244$$