Solve 545*(1-1.09^5)/1-1.09

$$\frac{ 545 \times (1- { 1.09 }^{ 5 } ) }{ 1-1.09 }$$

Evaluate

$$3261.66728245$$

Solution Steps

Calculate 1.09 to the power of 5 and get 1.5386239549.

$$\frac{545\left(1-1.5386239549\right)}{1-1.09}$$

Subtract 1.5386239549 from 1 to get -0.5386239549.

$$\frac{545\left(-0.5386239549\right)}{1-1.09}$$

Multiply 545 and -0.5386239549 to get -293.5500554205.

$$\frac{-293.5500554205}{1-1.09}$$

Subtract 1.09 from 1 to get -0.09.

$$\frac{-293.5500554205}{-0.09}$$

Expand \frac{-293.5500554205}{-0.09} by multiplying both numerator and the denominator by 10000000000.

$$\frac{-2935500554205}{-900000000}$$

Reduce the fraction \frac{-2935500554205}{-900000000} to lowest terms by extracting and canceling out -45.

$$\frac{65233345649}{20000000}$$

Factor

$$\frac{61 \cdot 109 \cdot 9811001}{2 ^ {8} \cdot 5 ^ {7}} = 3261\frac{13345649}{20000000} = 3261.66728245$$