| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
Monty loaned Damon $300 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $60 | |
| $9 | |
| $24 | |
| $25 |
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 $300
i = 0.03 x $300
i = $9
What is \( \frac{2a^9}{9a^2} \)?
| 4\(\frac{1}{2}\)a-7 | |
| \(\frac{2}{9}\)a\(\frac{2}{9}\) | |
| \(\frac{2}{9}\)a4\(\frac{1}{2}\) | |
| \(\frac{2}{9}\)a7 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{2a^9}{9a^2} \)
\( \frac{2}{9} \) a(9 - 2)
\(\frac{2}{9}\)a7
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 19 | |
| 26 | |
| 24 | |
| 18 |
The equation for this sequence is:
an = an-1 + 5
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 + 5
a6 = 21 + 5
a6 = 26
What is \( \frac{3}{8} \) x \( \frac{4}{6} \)?
| \(\frac{1}{4}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{14}\) | |
| \(\frac{6}{49}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{4}{6} \) = \( \frac{3 x 4}{8 x 6} \) = \( \frac{12}{48} \) = \(\frac{1}{4}\)
What is \( \frac{20\sqrt{25}}{4\sqrt{5}} \)?
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{5}} \) | |
| \(\frac{1}{5}\) \( \sqrt{5} \) | |
| 5 \( \sqrt{\frac{1}{5}} \) | |
| 5 \( \sqrt{5} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{20\sqrt{25}}{4\sqrt{5}} \)
\( \frac{20}{4} \) \( \sqrt{\frac{25}{5}} \)
5 \( \sqrt{5} \)