Solve (14)(1)(0.9)^13+(91)(0.01)(0.9)^12

$$( 14 ) ( 1 ) ( 0.9 ) ^ { 13 } + ( 91 ) ( 0.01 ) ( 0.9 ) ^ { 12 }$$

Evaluate

$$3.81562303785831$$

Solution Steps

Multiply 14 and 1 to get 14.

$$14\times 0.9^{13}+91\times 0.01\times 0.9^{12}$$

Calculate 0.9 to the power of 13 and get 0.2541865828329.

$$14\times 0.2541865828329+91\times 0.01\times 0.9^{12}$$

Multiply 14 and 0.2541865828329 to get 3.5586121596606.

$$3.5586121596606+91\times 0.01\times 0.9^{12}$$

Multiply 91 and 0.01 to get 0.91.

$$3.5586121596606+0.91\times 0.9^{12}$$

Calculate 0.9 to the power of 12 and get 0.282429536481.

$$3.5586121596606+0.91\times 0.282429536481$$

Multiply 0.91 and 0.282429536481 to get 0.25701087819771.

$$3.5586121596606+0.25701087819771$$

Add 3.5586121596606 and 0.25701087819771 to get 3.81562303785831.

$$3.81562303785831$$

Factor

$$\frac{7 \cdot 193 \cdot 3 ^ {24}}{2 ^ {14} \cdot 5 ^ {14}} = 3\frac{81562303785831}{100000000000000} = 3.81562303785831$$