| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Which of these numbers is a factor of 20?
| 13 | |
| 4 | |
| 11 | |
| 91 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.
What is \( \frac{25\sqrt{14}}{5\sqrt{7}} \)?
| \(\frac{1}{2}\) \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{2} \) | |
| 5 \( \sqrt{2} \) | |
| 2 \( \sqrt{5} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{25\sqrt{14}}{5\sqrt{7}} \)
\( \frac{25}{5} \) \( \sqrt{\frac{14}{7}} \)
5 \( \sqrt{2} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Ezra buys two shirts, each with a regular price of $11, how much will he pay for both shirts?
| $10.45 | |
| $15.95 | |
| $21.45 | |
| $12.10 |
By buying two shirts, Ezra will save $11 x \( \frac{5}{100} \) = \( \frac{$11 x 5}{100} \) = \( \frac{$55}{100} \) = $0.55 on the second shirt.
So, his total cost will be
$11.00 + ($11.00 - $0.55)
$11.00 + $10.45
$21.45
Solve for \( \frac{2!}{6!} \)
| \( \frac{1}{5} \) | |
| \( \frac{1}{120} \) | |
| \( \frac{1}{56} \) | |
| \( \frac{1}{360} \) |
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:
\( \frac{2!}{6!} \)
\( \frac{2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6 \times 5 \times 4 \times 3} \)
\( \frac{1}{360} \)
Roger loaned Monica $500 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $520 | |
| $505 | |
| $540 | |
| $530 |
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 = 0.06 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $30