| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.78 |
| Score | 0% | 56% |
Frank loaned Charlie $500 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $12 | |
| $5 | |
| $10 | |
| $15 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $500
i = 0.02 x $500
i = $10
In a class of 26 students, 8 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 10 | |
| 20 | |
| 11 | |
| 14 |
The number of students taking German or Spanish is 8 + 11 = 19. Of that group of 19, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 19 - 4 = 15 who are taking at least one language. 26 - 15 = 11 students who are not taking either language.
Monica scored 95% on her final exam. If each question was worth 4 points and there were 320 possible points on the exam, how many questions did Monica answer correctly?
| 68 | |
| 61 | |
| 67 | |
| 76 |
Monica scored 95% on the test meaning she earned 95% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.95 = 304 points. Each question is worth 4 points so she got \( \frac{304}{4} \) = 76 questions right.
If a mayor is elected with 84% of the votes cast and 38% of a town's 12,000 voters cast a vote, how many votes did the mayor receive?
| 2,782 | |
| 3,830 | |
| 3,922 | |
| 2,554 |
If 38% of the town's 12,000 voters cast ballots the number of votes cast is:
(\( \frac{38}{100} \)) x 12,000 = \( \frac{456,000}{100} \) = 4,560
The mayor got 84% of the votes cast which is:
(\( \frac{84}{100} \)) x 4,560 = \( \frac{383,040}{100} \) = 3,830 votes.
What is \( 6 \)\( \sqrt{45} \) + \( 6 \)\( \sqrt{5} \)
| 36\( \sqrt{225} \) | |
| 36\( \sqrt{5} \) | |
| 12\( \sqrt{9} \) | |
| 24\( \sqrt{5} \) |
To add these radicals together their radicands must be the same:
6\( \sqrt{45} \) + 6\( \sqrt{5} \)
6\( \sqrt{9 \times 5} \) + 6\( \sqrt{5} \)
6\( \sqrt{3^2 \times 5} \) + 6\( \sqrt{5} \)
(6)(3)\( \sqrt{5} \) + 6\( \sqrt{5} \)
18\( \sqrt{5} \) + 6\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
18\( \sqrt{5} \) + 6\( \sqrt{5} \)