| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
Bob loaned Damon $1,100 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $20 | |
| $14 | |
| $12 | |
| $11 |
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 $1,100
i = 0.01 x $1,100
i = $11
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 31,000 seats in a stadium are filled, how many home fans are in attendance?
| 29,600 | |
| 27,500 | |
| 31,500 | |
| 24,800 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
31,000 fans x \( \frac{4}{5} \) = \( \frac{124000}{5} \) = 24,800 fans.
What is 5\( \sqrt{4} \) x 9\( \sqrt{9} \)?
| 45\( \sqrt{9} \) | |
| 14\( \sqrt{4} \) | |
| 270 | |
| 14\( \sqrt{9} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{4} \) x 9\( \sqrt{9} \)
(5 x 9)\( \sqrt{4 \times 9} \)
45\( \sqrt{36} \)
Now we need to simplify the radical:
45\( \sqrt{36} \)
45\( \sqrt{6^2} \)
(45)(6)
270
What is \( \sqrt{\frac{4}{16}} \)?
| \(\frac{7}{9}\) | |
| \(\frac{1}{2}\) | |
| \(\frac{3}{4}\) | |
| \(\frac{2}{3}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{4}{16}} \)
\( \frac{\sqrt{4}}{\sqrt{16}} \)
\( \frac{\sqrt{2^2}}{\sqrt{4^2}} \)
\(\frac{1}{2}\)
What is -2z2 + 6z2?
| 4z-4 | |
| 4z2 | |
| -8z2 | |
| 8z-2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-2z2 + 6z2
(-2 + 6)z2
4z2