HESI A2 Math

Correct Answer: A

Rationale: To calculate the annual dividend Mr. Rogers receives for his 400 shares, we need to find the dividend per share first. For Mr. Parker, the dividend per share is $180/150 = $1.20. So, for Mr. Rogers, with 400 shares, his annual dividend would be 400 x $1.20 = $480. Therefore, the correct answer is A: $480. Summary: - B: $500 is incorrect because it is not the correct calculation based on the given information. - C: $450 is incorrect as it is not the correct calculation based on the given information. - D: $72,000 is incorrect as it is an excessively high amount and not a reasonable dividend for owning 400 shares.

Correct Answer: B

Rationale: To calculate the profit: 1. Cost per stand = $35 2. Total cost for 7 stands = $35 * 7 = $245 3. Revenue from selling 11 paintings per stand = $5.50 * 11 = $60.50 per stand 4. Total revenue for 7 stands = $60.50 * 7 = $423.50 5. Profit = Total revenue - Total cost = $423.50 - $245 = $178.50 Summary: A: $245 - Incorrect. This is the total cost of the stands, not the profit. B: $178.50 - Correct. Calculated as total revenue minus total cost. C: $175 - Incorrect. Not considering the revenue generated from selling paintings. D: $423.50 - Incorrect. This is the total revenue, not the profit.

Correct Answer: C

Rationale: The total surface area of the fountain consists of the surface area of the spherical base and the lateral surface area of the cylindrical body. To calculate the surface area of the spherical base, we use the formula 4πr^2, where r is the radius of the sphere (25 cm). This gives us 4π(25)^2 = 5000π sq cm. The lateral surface area of the cylindrical body is calculated using the formula 2πrh, where r is the radius (15 cm) and h is the height (80 cm). This gives us 2π(15)(80) = 2400π sq cm. Adding these two areas together gives a total surface area of 7400π sq cm, which is approximately 23256 sq cm. The correct answer, 5486 sq cm, is the closest approximation to the actual total surface area. Choice A is incorrect because it is the surface area of the spherical base only. Choices B and D

Correct Answer: B

Rationale: To find the number of girls in the school, we first calculate 60% of 500 students: 60/100 * 500 = 0.6 * 500 = 300 girls. Therefore, the correct answer is B: 300 girls. Choice A (250 girls) is incorrect as it represents 50%, not 60%. Choices C (200 girls) and D (350 girls) are also incorrect as they do not reflect the correct calculation of 60% of the total students.

Correct Answer: A

Rationale: To determine the day with the highest number of admissions in a bar graph, you need to find the tallest bar. The height of each bar represents the number of admissions for a specific day. By identifying the tallest bar, you can easily pinpoint the day with the highest number of admissions. Comparing bar heights (choice B) may be time-consuming and unnecessary. Calculating the average number of admissions per day (choice C) provides an overall view but doesn't directly identify the day with the highest admissions. Subtracting the lowest from the highest number of admissions (choice D) is not needed as the focus is on identifying the highest day, not the range.