Nokea
A pharmaceutical company's stock price was $50.33 on Monday. On Tuesday, the price increased by $2.35. On Wednesday, the price decreased by $1.07 from Tuesday's price. On Thursday, the price increased by $0.75 from Wednesday's price. What was the final price on Thursday?
- A. $53.43
- B. $54.50
- C. $52.36
- D. $50.85
Correct Answer: C
Rationale: To find the final price on Thursday, start with $50.33 (Monday's price) and apply the changes: +$2.35 (Tuesday's increase), -$1.07 (Wednesday's decrease), and +$0.75 (Thursday's increase). Calculate the total by adding and subtracting the price changes: $50.33 + $2.35 - $1.07 + $0.75 = $52.36. Therefore, the final price on Thursday was $52.36. The correct answer is $52.36, as calculated from the given price changes throughout the week.
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A baker is using a cookie recipe that calls for 2 1/4 cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
- A. 6 1/4 cups
- B. 4 3/4 cups
- C. 5 5/8 cups
- D. 10 1/8 cups
Correct Answer: C
Rationale: To determine how much flour is needed for 90 cookies using the same recipe, start by calculating the amount of flour required per cookie in the original recipe. The original recipe uses 2 1/4 cups of flour for 36 cookies. To find the amount per cookie, divide the total flour by the number of cookies: 2 1/4 / 36 = 1/16 cup per cookie. Next, multiply the amount per cookie by the new number of cookies: 1/16 * 90 = 5 5/8 cups. Therefore, the baker will need 5 5/8 cups of flour to make 90 cookies following the same recipe.
Kwame's uncle is seventeen less than three times Kwame's age. Which of the following equations represents Kwame's uncle's age (u) as it relates to Kwame's age (k)?
- A. u = 3k - 17
- B. u = 4k - 17
- C. u = 3k - 18
- D. u = 3k - 11
Correct Answer: A
Rationale: To determine an equation representing Kwame's uncle's age (u) in relation to Kwame's age (k), we need to interpret the given information accurately. The statement 'Kwame's uncle is seventeen less than three times Kwame's age' can be translated as u = 3k - 17. Here, 'u' stands for Kwame's uncle's age, and 'k' stands for Kwame's age. Therefore, the correct equation is u = 3k - 17, making choice A the correct answer.
What length of plastic barrier is needed to enclose a circular flower bed with a 5-foot diameter? Use π = 3.14.
- A. 19.625 feet
- B. 15.7 feet
- C. 31.4 feet
- D. 7.85 feet
Correct Answer: B
Rationale: To calculate the length of the plastic barrier needed to enclose a circular flower bed, you must find the circumference (C) using the formula C = π * d, where d is the diameter. Substituting the values, C = 3.14 * 5 = 15.7 feet. Therefore, 15.7 feet of plastic barrier is required to enclose the flower bed. The correct answer is B, '15.7 feet,' as it corresponds to the calculated circumference of the circular flower bed.
A consumer makes a $400 down payment on a television that costs $1,570. How many months will it take to pay off the television with monthly payments of $100? (Assume no interest)
- A. 16
- B. 12
- C. 11
- D. 15
Correct Answer: B
Rationale: To determine the number of months needed to pay off the television, subtract the down payment from the total cost: $1,570 - $400 = $1,170. Next, divide the remaining amount ($1,170) by the monthly payment of $100 to find the number of months: $1,170 · $100 = 11.7 months. Since you cannot make a fraction of a monthly payment, the consumer will need to make 12 monthly payments to fully pay off the television.
Television screen sizes are measured by the diagonal length of the rectangular screen. Assuming proportionality, if a vehicle on a 32-inch screen appears 9 inches long, how long will it appear on a 50-inch screen? (Round to the nearest inch.)
- A. 27 in
- B. 18 in
- C. 15 in
- D. 11 in
Correct Answer: C
Rationale: Using the proportion: 9 in / 32 in = x in / 50 in. Cross multiplying gives 32*x = 9*50. Solving for x gives x = 14.06 in, rounding to 14 in. Therefore, the vehicle will appear approximately 15 inches long on a 50-inch screen.