| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
Monty loaned Betty $1,200 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,260 | |
| $1,236 | |
| $1,296 | |
| $1,272 |
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 $1,200
i = 0.05 x $1,200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,200 + $60Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is the distance in miles of a trip that takes 7 hours at an average speed of 25 miles per hour?
| 630 miles | |
| 175 miles | |
| 220 miles | |
| 245 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 25mph \times 7h \)
175 miles
A triathlon course includes a 100m swim, a 50.7km bike ride, and a 5.3km run. What is the total length of the race course?
| 50.6km | |
| 56.1km | |
| 40.3km | |
| 60km |
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 + 50.7km + 5.3km
total distance = 56.1km
Solve for \( \frac{4!}{6!} \)
| \( \frac{1}{30} \) | |
| \( \frac{1}{72} \) | |
| 1680 | |
| \( \frac{1}{3024} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{4!}{6!} \)
\( \frac{4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6 \times 5} \)
\( \frac{1}{30} \)