The final value of x is 134.40 given the formula x 1. 2 3 + 3 x ( 1.4 ) 2 = 1 , 500 \frac{x}{1.2^{3}}+3 x(1.4)^{2}=1,500 1. 2 3 x + 3 x ( 1.4 ) 2 = 1 , 500

Question

The final value of x is 134.40 given the formula   x 1. 2 3 + 3 x ( 1.4 ) 2 = 1 , 500 \frac{x}{1.2^{3}}+3 x(1.4)^{2}=1,500 1. 2 3 x ​ + 3 x ( 1.4 ) 2 = 1 , 500

Lediya Solomon · Accepted Answer

Final Answer : False, Explanation :   To find the correct value of x, we need to solve the equation   x 1. 2 3 + 3 x ( 1.4 ) 2 = 1 , 500 \frac{x}{1.2^{3}}+3x(1.4)^{2}=1,500 1. 2 3 x ​ + 3 x ( 1.4 ) 2 = 1 , 500  . Simplifying the equation:  x 1.728 + 3 x ( 1.96 ) = 1 , 500 \frac{x}{1.728} + 3x(1.96) = 1,500 1.728 x ​ + 3 x ( 1.96 ) = 1 , 500 x 1.728 + 5.88 x = 1 , 500 \frac{x}{1.728} + 5.88x = 1,500 1.728 x ​ + 5.88 x = 1 , 500 x + 10.2144 x 1.728 = 1 , 500 \frac{x + 10.2144x}{1.728} = 1,500 1.728 x + 10.2144 x ​ = 1 , 500 11.2144 x = 1 , 500 × 1.728 11.2144x = 1,500 	imes 1.728 11.2144 x = 1 , 500 × 1.728 11.2144 x = 2 , 592 11.2144x = 2,592 11.2144 x = 2 , 592 x = 2 , 592 11.2144 x = \frac{2,592}{11.2144} x = 11.2144 2 , 592 ​ x ≈ 231.12 x \approx 231.12 x ≈ 231.12  Therefore, the final value of x is approximately 231.12, not 134.40.

The final value of x is 134.40 given the formula $x1.23+3x(1.4)2=1,500\frac{x}{1.2^{3}}+3 x(1.4)^{2}=1,500$

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The final value of x is 134.40 given the formula x1.23+3x(1.4)2=1,500\frac{x}{1.2^{3}}+3 x(1.4)^{2}=1,5001.23x​+3x(1.4)2=1,500

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The final value of x is 134.40 given the formula $x1.23+3x(1.4)2=1,500\frac{x}{1.2^{3}}+3 x(1.4)^{2}=1,500$