| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
Frank loaned Bob $500 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $2 | |
| $112 | |
| $42 | |
| $30 |
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 $500
i = 0.06 x $500
i = $30
4! = ?
4 x 3 x 2 x 1 |
|
4 x 3 |
|
3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 48 | |
| 49 | |
| 46 | |
| 52 |
The equation for this sequence is:
an = an-1 + 9
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 9
a6 = 37 + 9
a6 = 46
A bread recipe calls for 2\(\frac{1}{8}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| 1\(\frac{1}{4}\) cups | |
| 2\(\frac{1}{8}\) cups | |
| \(\frac{7}{8}\) cups | |
| 2\(\frac{5}{8}\) cups |
The amount of flour you need is (2\(\frac{1}{8}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{17}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{7}{8} \) cups
\(\frac{7}{8}\) cups
What is \( 4 \)\( \sqrt{48} \) + \( 4 \)\( \sqrt{3} \)
| 8\( \sqrt{144} \) | |
| 20\( \sqrt{3} \) | |
| 16\( \sqrt{16} \) | |
| 8\( \sqrt{16} \) |
To add these radicals together their radicands must be the same:
4\( \sqrt{48} \) + 4\( \sqrt{3} \)
4\( \sqrt{16 \times 3} \) + 4\( \sqrt{3} \)
4\( \sqrt{4^2 \times 3} \) + 4\( \sqrt{3} \)
(4)(4)\( \sqrt{3} \) + 4\( \sqrt{3} \)
16\( \sqrt{3} \) + 4\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
16\( \sqrt{3} \) + 4\( \sqrt{3} \)