mr parker owns 150 shares of stock in stark industries and receives 18000 per year in dividends how much does mr rogers receive for an annual dividend
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HESI A2

HESI A2 Math

1. If Mr. Parker owns 150 shares of stock in Stark Industries and receives $180.00 per year in dividends, how much does Mr. Rogers receive for an annual dividend if he owns 400 shares?

Correct answer: A

Rationale: To find out how much Mr. Rogers receives for an annual dividend with 400 shares, we can set up a proportion: 400 shares is to X dollars as 150 shares is to $180. This gives us 400 * $180 / 150 = $480 in annual dividends. Therefore, the correct answer is A. Choice B, $500, is incorrect because it does not consider the proportionality of shares to dividend amount. Choice C, $450, is incorrect as it does not reflect the correct calculation based on the given information. Choice D, $72,000, is significantly higher and incorrect as it does not align with the proportionality of shares and dividends.

2. What is 70% of 200?

Correct answer: D

Rationale: To find 70% of a number, you multiply the number by 0.70. Therefore, 70% of 200 is calculated as 0.7 × 200 = 140. Choices A, B, and C are incorrect as they do not represent the correct calculation for finding 70% of 200.

3. How many ounces are in 3 pints?

Correct answer: B

Rationale: To find out how many ounces are in 3 pints, you need to multiply the number of pints by the number of ounces in 1 pint. Since there are 16 ounces in 1 pint, 3 pints equal 3 * 16 = 48 ounces. Therefore, the correct answer is 48 ounces. Choice A (24 ounces) is incorrect because it miscalculates the conversion. Choice C (32 ounces) is incorrect as it does not correctly apply the conversion factor. Choice D (64 ounces) is incorrect as it doubles the correct answer, showing a misunderstanding of the conversion.

4. What percentage of her income is left after Mary spent 15%?

Correct answer: B

Rationale: To determine the percentage of income remaining after spending 15%, subtract the percentage spent from 100% (100% - 15% = 85%). Therefore, Mary has 85% of her income left, which aligns with answer choice B. Choice A (12%) is incorrect because it represents the remaining amount after spending 88% of her income. Choice C (75%) is incorrect as it does not account for the 15% already spent. Choice D (95%) is incorrect as it does not consider the amount spent by Mary.

5. Express the ratio of 12:15 as a percentage.

Correct answer: C

Rationale: To express the ratio 12:15 as a percentage, you need to find the total parts in the ratio (12 + 15 = 27), then divide one part by the total (12 ÷ 27 = 0.4444). Finally, convert the decimal to a percentage by multiplying by 100 (0.4444 x 100 = 44.44%). Therefore, the ratio 12:15 is equivalent to 44.44% when rounded to two decimal places, which is closest to 75.25% among the answer choices. Choices A, B, and D are incorrect as they do not represent the correct percentage equivalent of the ratio 12:15.

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