Solve x=100(.09)^2+100(.09)^3+100(.09)^4+100(.09)^4

$$x = 100 ( .09 ) ^ { 2 } + 100 ( .09 ) ^ { 3 } + 100 ( .09 ) ^ { 4 } + 100 ( .09 ) ^ { 4 }$$

Solve for x

$$x=0.896022$$

Steps for Solving Linear Equation

Calculate 0.09 to the power of 2 and get 0.0081.

$$x=100\times 0.0081+100\times 0.09^{3}+100\times 0.09^{4}+100\times 0.09^{4}$$

Multiply 100 and 0.0081 to get 0.81.

$$x=0.81+100\times 0.09^{3}+100\times 0.09^{4}+100\times 0.09^{4}$$

Calculate 0.09 to the power of 3 and get 0.000729.

$$x=0.81+100\times 0.000729+100\times 0.09^{4}+100\times 0.09^{4}$$

Multiply 100 and 0.000729 to get 0.0729.

$$x=0.81+0.0729+100\times 0.09^{4}+100\times 0.09^{4}$$

Add 0.81 and 0.0729 to get 0.8829.

$$x=0.8829+100\times 0.09^{4}+100\times 0.09^{4}$$

Calculate 0.09 to the power of 4 and get 0.00006561.

$$x=0.8829+100\times 0.00006561+100\times 0.09^{4}$$

Multiply 100 and 0.00006561 to get 0.006561.

$$x=0.8829+0.006561+100\times 0.09^{4}$$

Add 0.8829 and 0.006561 to get 0.889461.

$$x=0.889461+100\times 0.09^{4}$$

Calculate 0.09 to the power of 4 and get 0.00006561.

$$x=0.889461+100\times 0.00006561$$

Multiply 100 and 0.00006561 to get 0.006561.

$$x=0.889461+0.006561$$

Add 0.889461 and 0.006561 to get 0.896022.

$$x=0.896022$$

Assign x

$$x≔0.896022$$