Solve for the unknown rounded to the nearest dollar. $\frac{x}{1.036^{4}}+4 x(2.6)^{-2}=2,189.70$
A) 1,500
B) 2,500
C) 1,750
D) 3,750
E) 875

Question

Quizplus · Accepted Answer

The equation can be simplified and solved for $x$ as follows:Given: $\frac{x}{1.036^{4}}+4x(2.6)^{-2}=2,189.70$First, calculate the values of $1.036^{4}$ and $(2.6)^{-2}$:$1.036^{4} \approx 1.1489$$(2.6)^{-2} = \frac{1}{(2.6)^2} \approx \frac{1}{6.76} \approx 0.148$Substitute these values back into the equation:$\frac{x}{1.1489} + 4x(0.148) = 2,189.70$To simplify, find a common denominator or simplify each term directly:$x(1/1.1489 + 4(0.148)) = 2,189.70$$x(0.870 + 0.592) = 2,189.70$$x(1.462) = 2,189.70$Solve for $x$:$x = \frac{2,189.70}{1.462} \approx 1,498.22$Rounded to the nearest dollar, $x \approx 1,500$.

Solve for the Unknown Rounded to the Nearest Dollar x1.0364+4x(2.6)−2=2,189.70\frac{x}{1.036^{4}}+4 x(2.6)^{-2}=2,189.701.0364x​+4x(2.6)−2=2,189.70

Solve for the Unknown Rounded to the Nearest Dollar $\frac{x}{1.036^{4}}+4 x(2.6)^{-2}=2,189.70$