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 the result of adding 7/21 + 10/21?

Correct answer: A

Rationale: When adding fractions with the same denominator, you simply add the numerators while keeping the denominator the same. In this case, 7/21 + 10/21 = 17/21. Therefore, the correct answer is A. Choice B (15/21) is incorrect because it adds the numerators incorrectly. Choice C (9/21) is incorrect as it does not reflect the sum of the fractions provided. Choice D (10/21) is also incorrect as it does not represent the correct sum of the two fractions.

3. In a local baseball team, 4 players, which represent 5% of the team, have long hair, and the rest have short hair. How many short-haired players are there on the team?

Correct answer: C

Rationale: Given that 4 players represent 5% of the team, let's denote the total number of players as x. The equation to represent this situation is 0.05x = 4. Solving for x, we get x = 80, which is the total number of players on the team. Since 4 players have long hair, the remaining players have short hair, which is 80 - 4 = 76. Therefore, there are 76 short-haired players on the team. Choices A, B, and D are incorrect as they do not consider the total number of players correctly, leading to inaccurate calculations.

4. If a dice is rolled, what is the probability of getting an even number?

Correct answer: D

Rationale: When rolling a standard six-sided die, there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an even number can be calculated as the number of favorable outcomes (3) divided by the total number of outcomes (6), which equals 3/6 = 50%. Therefore, the correct answer is D. Choice A (16%) is incorrect because it does not represent the probability of rolling an even number. Choice B (33%) is incorrect as it does not reflect the correct probability. Choice C (66%) is incorrect as well since it overestimates the probability.

5. Round to the nearest whole number: What is 18% of 600?

Correct answer: A

Rationale: To find 18% of 600, you multiply 600 by 0.18, which equals 108. Since 108 is already a whole number, when rounding to the nearest whole number, it remains the same. Choices B, C, and D are incorrect as they do not represent the correct calculation for finding 18% of 600.

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