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question:How does the area of triangle ABC compare to the area of parallelogram GHJK? Given: - The area of triangle ABC is 2 square units greater than the area of parallelogram GHJK. - The sides of triangle ABC and parallelogram GHJK share common lengths. Find: - The relationship between the areas of triangle ABC and parallelogram GHJK.
answer:Let's denote the area of parallelogram GHJK as A(GHJK) and the area of triangle ABC as A(ΔABC). First, calculate the area of the parallelogram: A(GHJK) = base × height = 4 units × 2 units = 8 square units. Next, calculate the area of triangle ABC. Since triangle ABC can be divided into smaller triangles and rectangles using the shared sides, we have: A(ΔABC) = (4 units × 6 units) - (4 units × 4 units / 2) - (1 unit × 6 units / 2) - (3 units × 2 units / 2) = 24 square units - 8 square units - 3 square units - 3 square units = 34 square units - 14 square units = 20 square units. Now, compare the areas: A(ΔABC) - A(GHJK) = 20 square units - 8 square units = 12 square units. Answer: The area of triangle ABC is 12 square units greater than the area of parallelogram GHJK, not 2 square units as previously mentioned. Therefore, there seems to be an error in the original statement or calculation. The correct comparison cannot be determined with the given information.
question:What is the speed of a car in kilometers per hour if it travels at 75 miles per hour?
answer:Given: speed = 75 miles/hr To convert this to kilometers per hour, we need to change the distance unit from miles to kilometers. We will need the conversion equality: {eq}rm 1;mile = 1.609344;km text{Applying the conversion is done like so:} Speed = (75;miles/hr)left(dfrac{1.609344;km}{1;mile}right) = boxed{;rm 120.701;km/hr;} {/eq}
question:What financial ratio is calculated by dividing net credit sales or net sales by the average net accounts receivable?
answer:The financial ratio derived from this calculation is known as the: d) Accounts Receivable Turnover The accounts receivable turnover measures the efficiency of a company in collecting its outstanding credit sales. It is calculated as follows: {eq}Accounts Receivable Turnover = frac{Net Credit Sales}{Average Accounts Receivable} {/eq} This ratio indicates how many times a company's average accounts receivable balance is collected during a specific period. Additionally, it can be used to calculate the average number of days it takes for a company to collect its accounts receivable, which is referred to as the accounts receivable days outstanding. This is calculated by dividing the number of days in a year by the accounts receivable turnover.
question:What are the key differences in tax payments between employees and self-employed individuals?
answer:Employees pay FICA taxes, which cover Social Security and Medicare, with their employer contributing an equal share. Self-employed individuals are responsible for paying both the employee and employer portions of these taxes, known as self-employment tax. Additionally, self-employed individuals must pay income tax on their business profits, while employees only pay income tax on their salaries or wages.