Solve 38000+52000+85000/(1+10.5%)^3

$$\frac { 38000 + 52000 + 85000 } { ( 1 + 10.5 \% ) ^ { 3 } }$$

Evaluate

$$\frac{1400000000000}{10793861}\approx 129703.356380076$$

Solution Steps

Add 38000 and 52000 to get 90000.

$$\frac{90000+85000}{\left(1+\frac{10.5}{100}\right)^{3}}$$

Add 90000 and 85000 to get 175000.

$$\frac{175000}{\left(1+\frac{10.5}{100}\right)^{3}}$$

Expand \frac{10.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{175000}{\left(1+\frac{105}{1000}\right)^{3}}$$

Reduce the fraction \frac{105}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{175000}{\left(1+\frac{21}{200}\right)^{3}}$$

Add 1 and \frac{21}{200} to get \frac{221}{200}.

$$\frac{175000}{\left(\frac{221}{200}\right)^{3}}$$

Calculate \frac{221}{200} to the power of 3 and get \frac{10793861}{8000000}.

$$\frac{175000}{\frac{10793861}{8000000}}$$

Divide 175000 by \frac{10793861}{8000000} by multiplying 175000 by the reciprocal of \frac{10793861}{8000000}.

$$175000\times \frac{8000000}{10793861}$$

Multiply 175000 and \frac{8000000}{10793861} to get \frac{1400000000000}{10793861}.

$$\frac{1400000000000}{10793861}$$

Factor

$$\frac{7 \cdot 2 ^ {12} \cdot 5 ^ {11}}{13 ^ {3} \cdot 17 ^ {3}} = 129703\frac{3846717}{10793861} = 129703.35638007567$$