Solve 5000*((1+6.09%)^10-1/6.09%)

$$5000 \times ( \frac { ( 1 + 6.09 \% ) ^ { 10 } - 1 } { 6.09 \% } )$$

Evaluate

$$66183.188396503597024409959571570269445$$

Solution Steps

Expand \frac{6.09}{100} by multiplying both numerator and the denominator by 100.

$$5000\times \frac{\left(1+\frac{609}{10000}\right)^{10}-1}{\frac{6.09}{100}}$$

Add 1 and \frac{609}{10000} to get \frac{10609}{10000}.

$$5000\times \frac{\left(\frac{10609}{10000}\right)^{10}-1}{\frac{6.09}{100}}$$

Calculate \frac{10609}{10000} to the power of 10 and get \frac{18061112346694138117573133075817258818401}{10000000000000000000000000000000000000000}.

$$5000\times \frac{\frac{18061112346694138117573133075817258818401}{10000000000000000000000000000000000000000}-1}{\frac{6.09}{100}}$$

Subtract 1 from \frac{18061112346694138117573133075817258818401}{10000000000000000000000000000000000000000} to get \frac{8061112346694138117573133075817258818401}{10000000000000000000000000000000000000000}.

$$5000\times \frac{\frac{8061112346694138117573133075817258818401}{10000000000000000000000000000000000000000}}{\frac{6.09}{100}}$$

Expand \frac{6.09}{100} by multiplying both numerator and the denominator by 100.

$$5000\times \frac{\frac{8061112346694138117573133075817258818401}{10000000000000000000000000000000000000000}}{\frac{609}{10000}}$$

Divide \frac{8061112346694138117573133075817258818401}{10000000000000000000000000000000000000000} by \frac{609}{10000} by multiplying \frac{8061112346694138117573133075817258818401}{10000000000000000000000000000000000000000} by the reciprocal of \frac{609}{10000}.

$$5000\times \frac{8061112346694138117573133075817258818401}{10000000000000000000000000000000000000000}\times \frac{10000}{609}$$

Multiply \frac{8061112346694138117573133075817258818401}{10000000000000000000000000000000000000000} and \frac{10000}{609} to get \frac{13236637679300719404881991914314053889}{1000000000000000000000000000000000000}.

$$5000\times \frac{13236637679300719404881991914314053889}{1000000000000000000000000000000000000}$$

Multiply 5000 and \frac{13236637679300719404881991914314053889}{1000000000000000000000000000000000000} to get \frac{13236637679300719404881991914314053889}{200000000000000000000000000000000}.

$$\frac{13236637679300719404881991914314053889}{200000000000000000000000000000000}$$

Factor

$$\frac{11 \cdot 37 \cdot 41 \cdot 557 \cdot 641 \cdot 165941 \cdot 291041 \cdot 48264871 \cdot 953119081}{2 ^ {33} \cdot 5 ^ {32}} = 66183\frac{3.7679300717860253 \times 10^{31}}{2 \times 10^{32}} = 66183.1883965036$$