Solve 15000*20*(1-0.34)*1-(1.05/1.15)^5/0.09

$$15000 \times 20 \times ( 1 - 0.34 ) \times \frac { 1 - ( \frac { 1.05 } { 1.15 } ) ^ { 5 } } { 0.09 }$$

Evaluate

$$\frac{5174932400000}{6436343}\approx 804017.49875667$$

Solution Steps

Multiply 15000 and 20 to get 300000.

$$300000\left(1-0.34\right)\times \frac{1-\left(\frac{1.05}{1.15}\right)^{5}}{0.09}$$

Subtract 0.34 from 1 to get 0.66.

$$300000\times 0.66\times \frac{1-\left(\frac{1.05}{1.15}\right)^{5}}{0.09}$$

Multiply 300000 and 0.66 to get 198000.

$$198000\times \frac{1-\left(\frac{1.05}{1.15}\right)^{5}}{0.09}$$

Expand \frac{1.05}{1.15} by multiplying both numerator and the denominator by 100.

$$198000\times \frac{1-\left(\frac{105}{115}\right)^{5}}{0.09}$$

Reduce the fraction \frac{105}{115} to lowest terms by extracting and canceling out 5.

$$198000\times \frac{1-\left(\frac{21}{23}\right)^{5}}{0.09}$$

Calculate \frac{21}{23} to the power of 5 and get \frac{4084101}{6436343}.

$$198000\times \frac{1-\frac{4084101}{6436343}}{0.09}$$

Subtract \frac{4084101}{6436343} from 1 to get \frac{2352242}{6436343}.

$$198000\times \frac{\frac{2352242}{6436343}}{0.09}$$

Express \frac{\frac{2352242}{6436343}}{0.09} as a single fraction.

$$198000\times \frac{2352242}{6436343\times 0.09}$$

Multiply 6436343 and 0.09 to get 579270.87.

$$198000\times \frac{2352242}{579270.87}$$

Expand \frac{2352242}{579270.87} by multiplying both numerator and the denominator by 100.

$$198000\times \frac{235224200}{57927087}$$

Multiply 198000 and \frac{235224200}{57927087} to get \frac{5174932400000}{6436343}.

$$\frac{5174932400000}{6436343}$$

Factor

$$\frac{11 \cdot 1176121 \cdot 2 ^ {7} \cdot 5 ^ {5}}{23 ^ {5}} = 804017\frac{3210169}{6436343} = 804017.4987566697$$