| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
Frank loaned Roger $1,100 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?
| $7 | |
| $88 | |
| $90 | |
| $80 |
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 $1,100
i = 0.08 x $1,100
i = $88
A bread recipe calls for 2\(\frac{1}{4}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| 1\(\frac{3}{8}\) cups | |
| 2\(\frac{7}{8}\) cups | |
| 1 cups | |
| 3 cups |
The amount of flour you need is (2\(\frac{1}{4}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{18}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{8}{8} \) cups
1 cups
What is \( 8 \)\( \sqrt{32} \) + \( 9 \)\( \sqrt{2} \)
| 17\( \sqrt{32} \) | |
| 41\( \sqrt{2} \) | |
| 17\( \sqrt{16} \) | |
| 17\( \sqrt{2} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{32} \) + 9\( \sqrt{2} \)
8\( \sqrt{16 \times 2} \) + 9\( \sqrt{2} \)
8\( \sqrt{4^2 \times 2} \) + 9\( \sqrt{2} \)
(8)(4)\( \sqrt{2} \) + 9\( \sqrt{2} \)
32\( \sqrt{2} \) + 9\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
32\( \sqrt{2} \) + 9\( \sqrt{2} \)
| 2.4 | |
| 1 | |
| 4.2 | |
| 3.6 |
1
How many hours does it take a car to travel 490 miles at an average speed of 70 miles per hour?
| 3 hours | |
| 7 hours | |
| 6 hours | |
| 2 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 = \( \frac{490mi}{70mph} \)
7 hours