Solve 1100((1+0.08)^10-1)/0.08

$$\frac { 1100 ( ( 1 + 0.08 ) ^ { 10 } - 1 ) } { 0.08 }$$

Evaluate

$$15935.2187125008171008$$

Solution Steps

Add 1 and 0.08 to get 1.08.

$$\frac{1100\left(1.08^{10}-1\right)}{0.08}$$

Calculate 1.08 to the power of 10 and get 2.15892499727278669824.

$$\frac{1100\left(2.15892499727278669824-1\right)}{0.08}$$

Subtract 1 from 2.15892499727278669824 to get 1.15892499727278669824.

$$\frac{1100\times 1.15892499727278669824}{0.08}$$

Multiply 1100 and 1.15892499727278669824 to get 1274.817497000065368064.

$$\frac{1274.817497000065368064}{0.08}$$

Expand \frac{1274.817497000065368064}{0.08} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{1274817497000065368064}{80000000000000000}$$

Reduce the fraction \frac{1274817497000065368064}{80000000000000000} to lowest terms by extracting and canceling out 524288.

$$\frac{2431521409988528}{152587890625}$$

Factor

$$\frac{13 \cdot 181 \cdot 1151 \cdot 463741 \cdot 2 ^ {4} \cdot 11 ^ {2}}{5 ^ {16}} = 15935\frac{33372879153}{152587890625} = 15935.218712500817$$