| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
In a class of 25 students, 13 are taking German and 5 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 18 | |
| 13 | |
| 15 | |
| 12 |
The number of students taking German or Spanish is 13 + 5 = 18. Of that group of 18, 6 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 18 - 6 = 12 who are taking at least one language. 25 - 12 = 13 students who are not taking either language.
Convert z-4 to remove the negative exponent.
| \( \frac{-4}{z} \) | |
| \( \frac{-4}{-z} \) | |
| \( \frac{1}{z^{-4}} \) | |
| \( \frac{1}{z^4} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Roger loaned Betty $1,300 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,339 | |
| $1,352 | |
| $1,391 | |
| $1,326 |
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 $1,300
i = 0.07 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $91What is (a5)4?
| a20 | |
| 5a4 | |
| a9 | |
| 4a5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a5)4A triathlon course includes a 100m swim, a 40.7km bike ride, and a 9.1km run. What is the total length of the race course?
| 36.3km | |
| 49.9km | |
| 36.9km | |
| 25.2km |
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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 40.7km + 9.1km
total distance = 49.9km