| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
Simplify \( \sqrt{27} \)
| 3\( \sqrt{3} \) | |
| 9\( \sqrt{3} \) | |
| 7\( \sqrt{6} \) | |
| 6\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{27} \)
\( \sqrt{9 \times 3} \)
\( \sqrt{3^2 \times 3} \)
3\( \sqrt{3} \)
If a mayor is elected with 60% of the votes cast and 58% of a town's 21,000 voters cast a vote, how many votes did the mayor receive?
| 9,013 | |
| 8,891 | |
| 6,334 | |
| 7,308 |
If 58% of the town's 21,000 voters cast ballots the number of votes cast is:
(\( \frac{58}{100} \)) x 21,000 = \( \frac{1,218,000}{100} \) = 12,180
The mayor got 60% of the votes cast which is:
(\( \frac{60}{100} \)) x 12,180 = \( \frac{730,800}{100} \) = 7,308 votes.
What is \( \frac{49\sqrt{18}}{7\sqrt{9}} \)?
| 7 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{7} \) | |
| 7 \( \sqrt{2} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{49\sqrt{18}}{7\sqrt{9}} \)
\( \frac{49}{7} \) \( \sqrt{\frac{18}{9}} \)
7 \( \sqrt{2} \)
Monty loaned Latoya $700 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $714 | |
| $707 | |
| $749 | |
| $735 |
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 $700
i = 0.02 x $700
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $700 + $14Convert y-4 to remove the negative exponent.
| \( \frac{-4}{-y} \) | |
| \( \frac{1}{y^4} \) | |
| \( \frac{-1}{y^{-4}} \) | |
| \( \frac{-1}{-4y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.