| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
Frank loaned Diane $1,000 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,030 | |
| $1,050 | |
| $1,020 | |
| $1,080 |
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 $1,000
i = 0.02 x $1,000
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,000 + $20How many hours does it take a car to travel 140 miles at an average speed of 70 miles per hour?
| 1 hour | |
| 2 hours | |
| 7 hours | |
| 3 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{140mi}{70mph} \)
2 hours
If a mayor is elected with 72% of the votes cast and 65% of a town's 24,000 voters cast a vote, how many votes did the mayor receive?
| 11,232 | |
| 11,076 | |
| 13,884 | |
| 7,956 |
If 65% of the town's 24,000 voters cast ballots the number of votes cast is:
(\( \frac{65}{100} \)) x 24,000 = \( \frac{1,560,000}{100} \) = 15,600
The mayor got 72% of the votes cast which is:
(\( \frac{72}{100} \)) x 15,600 = \( \frac{1,123,200}{100} \) = 11,232 votes.
What is \( \frac{1}{6} \) x \( \frac{4}{5} \)?
| \(\frac{16}{63}\) | |
| \(\frac{4}{5}\) | |
| \(\frac{1}{27}\) | |
| \(\frac{2}{15}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{6} \) x \( \frac{4}{5} \) = \( \frac{1 x 4}{6 x 5} \) = \( \frac{4}{30} \) = \(\frac{2}{15}\)
In a class of 26 students, 15 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 8 are taking both courses. How many students are not enrolled in either course?
| 12 | |
| 19 | |
| 26 | |
| 6 |
The number of students taking German or Spanish is 15 + 13 = 28. Of that group of 28, 8 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 28 - 8 = 20 who are taking at least one language. 26 - 20 = 6 students who are not taking either language.