Solve 5000*1.04(1.04^20-1)/1.04-1

$$5000 \times \frac { 1.04 ( 1.04 ^ { 20 } - 1 ) } { 1.04 - 1 }$$

Evaluate

$$154846.008594344515571249916095837490905088$$

Solution Steps

Calculate 1.04 to the power of 20 and get 2.1911231430334193505480762776602883915776.

$$5000\times \frac{1.04\left(2.1911231430334193505480762776602883915776-1\right)}{1.04-1}$$

Subtract 1 from 2.1911231430334193505480762776602883915776 to get 1.1911231430334193505480762776602883915776.

$$5000\times \frac{1.04\times 1.1911231430334193505480762776602883915776}{1.04-1}$$

Multiply 1.04 and 1.1911231430334193505480762776602883915776 to get 1.238768068754756124569999328766699927240704.

$$5000\times \frac{1.238768068754756124569999328766699927240704}{1.04-1}$$

Subtract 1 from 1.04 to get 0.04.

$$5000\times \frac{1.238768068754756124569999328766699927240704}{0.04}$$

Expand \frac{1.238768068754756124569999328766699927240704}{0.04} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000.

$$5000\times \frac{1238768068754756124569999328766699927240704}{40000000000000000000000000000000000000000}$$

Reduce the fraction \frac{1238768068754756124569999328766699927240704}{40000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 4398046511104.

$$5000\times \frac{281663248814483296102934975526}{9094947017729282379150390625}$$

Express 5000\times \frac{281663248814483296102934975526}{9094947017729282379150390625} as a single fraction.

$$\frac{5000\times 281663248814483296102934975526}{9094947017729282379150390625}$$

Multiply 5000 and 281663248814483296102934975526 to get 1408316244072416480514674877630000.

$$\frac{1408316244072416480514674877630000}{9094947017729282379150390625}$$

Reduce the fraction \frac{1408316244072416480514674877630000}{9094947017729282379150390625} to lowest terms by extracting and canceling out 625.

$$\frac{2253305990515866368823479804208}{14551915228366851806640625}$$

Factor

$$\frac{3 \cdot 11 \cdot 13 \cdot 17 \cdot 61 \cdot 1301 \cdot 2141 \cdot 192341 \cdot 424451 \cdot 1392101 \cdot 2 ^ {4}}{5 ^ {36}} = 154846\frac{1.2506417294553163 \times 10^{23}}{1.4551915228366852 \times 10^{25}} = 154846.00859434452$$