| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
Bob loaned Ezra $1,400 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $135 | |
| $27 | |
| $70 | |
| $14 |
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 $1,400
i = 0.05 x $1,400
i = $70
Which of the following is not a prime number?
7 |
|
5 |
|
9 |
|
2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is \( 5 \)\( \sqrt{48} \) + \( 6 \)\( \sqrt{3} \)
| 11\( \sqrt{48} \) | |
| 26\( \sqrt{3} \) | |
| 30\( \sqrt{3} \) | |
| 30\( \sqrt{48} \) |
To add these radicals together their radicands must be the same:
5\( \sqrt{48} \) + 6\( \sqrt{3} \)
5\( \sqrt{16 \times 3} \) + 6\( \sqrt{3} \)
5\( \sqrt{4^2 \times 3} \) + 6\( \sqrt{3} \)
(5)(4)\( \sqrt{3} \) + 6\( \sqrt{3} \)
20\( \sqrt{3} \) + 6\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
20\( \sqrt{3} \) + 6\( \sqrt{3} \)Simplify \( \sqrt{8} \)
| 3\( \sqrt{4} \) | |
| 2\( \sqrt{2} \) | |
| 4\( \sqrt{4} \) | |
| 8\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
absolute value |
|
least common factor |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.