| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
Charlie loaned Damon $1,200 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $13 | |
| $135 | |
| $39 | |
| $108 |
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 = 0.09 x $1,200
i = $108
What is (c5)4?
| c20 | |
| c | |
| 5c4 | |
| 4c5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c5)4How many hours does it take a car to travel 90 miles at an average speed of 30 miles per hour?
| 3 hours | |
| 8 hours | |
| 7 hours | |
| 6 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 = \( \frac{90mi}{30mph} \)
3 hours
Simplify \( \sqrt{50} \)
| 9\( \sqrt{2} \) | |
| 9\( \sqrt{4} \) | |
| 5\( \sqrt{2} \) | |
| 4\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{50} \)
\( \sqrt{25 \times 2} \)
\( \sqrt{5^2 \times 2} \)
5\( \sqrt{2} \)
Solve for \( \frac{2!}{5!} \)
| 56 | |
| 3024 | |
| \( \frac{1}{7} \) | |
| \( \frac{1}{60} \) |
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:
\( \frac{2!}{5!} \)
\( \frac{2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4 \times 3} \)
\( \frac{1}{60} \)