Solve 5000*1/8%*(1.08^30-1)

$$5000 \times \frac { 1 } { 8 \% } \times ( 1.08 ^ { 30 } - 1 )$$

Evaluate

$$566416.055567089381994399806944371017669561303256248315019264$$

Solution Steps

Divide 1 by \frac{8}{100} by multiplying 1 by the reciprocal of \frac{8}{100}.

$$5000\times \frac{100}{8}\left(1.08^{30}-1\right)$$

Reduce the fraction \frac{100}{8} to lowest terms by extracting and canceling out 4.

$$5000\times \frac{25}{2}\left(1.08^{30}-1\right)$$

Express 5000\times \frac{25}{2} as a single fraction.

$$\frac{5000\times 25}{2}\left(1.08^{30}-1\right)$$

Multiply 5000 and 25 to get 125000.

$$\frac{125000}{2}\left(1.08^{30}-1\right)$$

Divide 125000 by 2 to get 62500.

$$62500\left(1.08^{30}-1\right)$$

Calculate 1.08 to the power of 30 and get 10.062656889073430111910396911109936282712980852099973040308224.

$$62500\left(10.062656889073430111910396911109936282712980852099973040308224-1\right)$$

Subtract 1 from 10.062656889073430111910396911109936282712980852099973040308224 to get 9.062656889073430111910396911109936282712980852099973040308224.

$$62500\times 9.062656889073430111910396911109936282712980852099973040308224$$

Multiply 62500 and 9.062656889073430111910396911109936282712980852099973040308224 to get 566416.055567089381994399806944371017669561303256248315019264.

$$566416.055567089381994399806944371017669561303256248315019264$$

Factor

$$\frac{7 \cdot 11 \cdot 13 \cdot 31 \cdot 61 \cdot 97 \cdot 181 \cdot 1151 \cdot 1201 \cdot 2029 \cdot 104491 \cdot 463741 \cdot 217538003281 \cdot 2 ^ {5}}{5 ^ {54}} = 566416\frac{3.0845930955818686 \times 10^{36}}{5.551115123125784 \times 10^{37}} = 566416.0555670892$$