| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
Ezra loaned Jennifer $400 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $436 | |
| $424 | |
| $420 | |
| $432 |
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 $400
i = 0.06 x $400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $400 + $24What is \( \frac{1}{6} \) x \( \frac{1}{5} \)?
| \(\frac{1}{6}\) | |
| \(\frac{1}{21}\) | |
| \(\frac{8}{21}\) | |
| \(\frac{1}{30}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{6} \) x \( \frac{1}{5} \) = \( \frac{1 x 1}{6 x 5} \) = \( \frac{1}{30} \) = \(\frac{1}{30}\)
What is \( \frac{6a^6}{1a^3} \)?
| 6a9 | |
| \(\frac{1}{6}\)a9 | |
| 6a3 | |
| 6a2 |
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:
\( \frac{6a^6}{a^3} \)
\( \frac{6}{1} \) a(6 - 3)
6a3
What is \( 3 \)\( \sqrt{112} \) + \( 9 \)\( \sqrt{7} \)
| 12\( \sqrt{784} \) | |
| 12\( \sqrt{7} \) | |
| 21\( \sqrt{7} \) | |
| 27\( \sqrt{112} \) |
To add these radicals together their radicands must be the same:
3\( \sqrt{112} \) + 9\( \sqrt{7} \)
3\( \sqrt{16 \times 7} \) + 9\( \sqrt{7} \)
3\( \sqrt{4^2 \times 7} \) + 9\( \sqrt{7} \)
(3)(4)\( \sqrt{7} \) + 9\( \sqrt{7} \)
12\( \sqrt{7} \) + 9\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
12\( \sqrt{7} \) + 9\( \sqrt{7} \)If a mayor is elected with 60% of the votes cast and 79% of a town's 33,000 voters cast a vote, how many votes did the mayor receive?
| 21,377 | |
| 15,642 | |
| 22,681 | |
| 16,685 |
If 79% of the town's 33,000 voters cast ballots the number of votes cast is:
(\( \frac{79}{100} \)) x 33,000 = \( \frac{2,607,000}{100} \) = 26,070
The mayor got 60% of the votes cast which is:
(\( \frac{60}{100} \)) x 26,070 = \( \frac{1,564,200}{100} \) = 15,642 votes.