| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
Charlie loaned Bob $300 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $20 | |
| $18 | |
| $135 | |
| $50 |
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 = 0.06 x $300
i = $18
Solve for \( \frac{3!}{6!} \)
| 336 | |
| 3024 | |
| \( \frac{1}{120} \) | |
| \( \frac{1}{20} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{3!}{6!} \)
\( \frac{3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6 \times 5 \times 4} \)
\( \frac{1}{120} \)
Solve 5 + (4 + 2) ÷ 4 x 3 - 32
| \(\frac{1}{2}\) | |
| 1\(\frac{1}{7}\) | |
| 3 | |
| 1\(\frac{3}{4}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (4 + 2) ÷ 4 x 3 - 32
P: 5 + (6) ÷ 4 x 3 - 32
E: 5 + 6 ÷ 4 x 3 - 9
MD: 5 + \( \frac{6}{4} \) x 3 - 9
MD: 5 + \( \frac{18}{4} \) - 9
AS: \( \frac{20}{4} \) + \( \frac{18}{4} \) - 9
AS: \( \frac{38}{4} \) - 9
AS: \( \frac{38 - 36}{4} \)
\( \frac{2}{4} \)
\(\frac{1}{2}\)
Which of these numbers is a factor of 64?
| 13 | |
| 63 | |
| 62 | |
| 2 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
On average, the center for a basketball team hits 25% 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 | |
| 41 | |
| 36 | |
| 24 |
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 25% 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 = \( \frac{9}{\frac{25}{100}} \) = 9 x \( \frac{100}{25} \) = \( \frac{9 x 100}{25} \) = \( \frac{900}{25} \) = 36 shots
to make the same number of shots as the guard and thus score the same number of points.