| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Frank loaned Betty $300 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $303 | |
| $315 | |
| $312 | |
| $321 |
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 = 0.05 x $300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $300 + $15What is the greatest common factor of 76 and 76?
| 37 | |
| 76 | |
| 2 | |
| 28 |
The factors of 76 are [1, 2, 4, 19, 38, 76] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 6 factors [1, 2, 4, 19, 38, 76] making 76 the greatest factor 76 and 76 have in common.
On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 45% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 15 | |
| 23 | |
| 31 | |
| 19 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{45}{100} \) = \( \frac{45 x 20}{100} \) = \( \frac{900}{100} \) = 9 shots
The center makes 40% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{9}{\frac{40}{100}} \) = 9 x \( \frac{100}{40} \) = \( \frac{9 x 100}{40} \) = \( \frac{900}{40} \) = 23 shots
to make the same number of shots as the guard and thus score the same number of points.
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
greatest common multiple |
|
absolute value |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is -3x5 - 7x5?
| 4x5 | |
| -10x5 | |
| -10x-5 | |
| 4x25 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-3x5 - 7x5
(-3 - 7)x5
-10x5