Question

math section 12.55 kilograms, as shown in the figure below. all measurements are in centimeters. the purity of gold is its actual weight divided by its expected weight. if the company makes a gold bar with the dimensions above that weighs 12.52 kg, what is its purity, to the nearest tenth of a percent? a 94.5% b 98.0%

Explanation:

Step1: Identify actual and expected weights

Actual weight = 12.52 kg, Expected weight = 12.55 kg

Step2: Calculate purity formula

Purity = $\frac{\text{Actual weight}}{\text{Expected weight}}\times100\%$
Substitute values: Purity = $\frac{12.52}{12.55}\times100\%$

Step3: Perform calculation

$\frac{12.52}{12.55}\times100\% \approx 0.998\times100\%=99.8\%$

Answer:

None of the given options (A. 94.5%, B. 98.9%) are correct. The correct purity is approximately 99.8%.