| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Alex loaned Roger $1,000 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $77 | |
| $45 | |
| $80 | |
| $52 |
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 = 0.08 x $1,000
i = $80
In a class of 31 students, 13 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 15 | |
| 19 | |
| 25 | |
| 16 |
The number of students taking German or Spanish is 13 + 10 = 23. Of that group of 23, 7 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 23 - 7 = 16 who are taking at least one language. 31 - 16 = 15 students who are not taking either language.
If a mayor is elected with 85% of the votes cast and 76% of a town's 26,000 voters cast a vote, how many votes did the mayor receive?
| 13,832 | |
| 10,473 | |
| 12,251 | |
| 16,796 |
If 76% of the town's 26,000 voters cast ballots the number of votes cast is:
(\( \frac{76}{100} \)) x 26,000 = \( \frac{1,976,000}{100} \) = 19,760
The mayor got 85% of the votes cast which is:
(\( \frac{85}{100} \)) x 19,760 = \( \frac{1,679,600}{100} \) = 16,796 votes.
Alex loaned Monica $700 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $756 | |
| $763 | |
| $742 | |
| $749 |
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 $700
i = 0.08 x $700
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $700 + $56A triathlon course includes a 200m swim, a 40.9km bike ride, and a 16.8km run. What is the total length of the race course?
| 57.9km | |
| 58.8km | |
| 57.5km | |
| 43.1km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 40.9km + 16.8km
total distance = 57.9km