| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
Convert y-3 to remove the negative exponent.
| \( \frac{1}{y^3} \) | |
| \( \frac{-1}{y^{-3}} \) | |
| \( \frac{1}{y^{-3}} \) | |
| \( \frac{3}{y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Damon loaned Latoya $500 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?
| $525 | |
| $505 | |
| $540 | |
| $545 |
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 $500
i = 0.09 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $45Which of the following is not an integer?
1 |
|
-1 |
|
0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{6}{2} \) - \( \frac{3}{6} \)?
| 1 \( \frac{2}{6} \) | |
| \( \frac{5}{6} \) | |
| 2\(\frac{1}{2}\) | |
| \( \frac{3}{6} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{6 x 3}{2 x 3} \) - \( \frac{3 x 1}{6 x 1} \)
\( \frac{18}{6} \) - \( \frac{3}{6} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{18 - 3}{6} \) = \( \frac{15}{6} \) = 2\(\frac{1}{2}\)
What is the greatest common factor of 56 and 40?
| 26 | |
| 15 | |
| 8 | |
| 40 |
The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 56 and 40 have in common.