| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Roger loaned Monica $1,100 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,155 | |
| $1,166 | |
| $1,188 | |
| $1,144 |
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 = 0.08 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $88A factor is a positive __________ that divides evenly into a given number.
fraction |
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improper fraction |
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integer |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is \( \frac{12\sqrt{12}}{6\sqrt{3}} \)?
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{4}} \) | |
| \(\frac{1}{2}\) \( \sqrt{4} \) | |
| 2 \( \sqrt{\frac{1}{4}} \) | |
| 2 \( \sqrt{4} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{12\sqrt{12}}{6\sqrt{3}} \)
\( \frac{12}{6} \) \( \sqrt{\frac{12}{3}} \)
2 \( \sqrt{4} \)
What is \( 4 \)\( \sqrt{28} \) + \( 7 \)\( \sqrt{7} \)
| 28\( \sqrt{4} \) | |
| 15\( \sqrt{7} \) | |
| 11\( \sqrt{7} \) | |
| 28\( \sqrt{196} \) |
To add these radicals together their radicands must be the same:
4\( \sqrt{28} \) + 7\( \sqrt{7} \)
4\( \sqrt{4 \times 7} \) + 7\( \sqrt{7} \)
4\( \sqrt{2^2 \times 7} \) + 7\( \sqrt{7} \)
(4)(2)\( \sqrt{7} \) + 7\( \sqrt{7} \)
8\( \sqrt{7} \) + 7\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
8\( \sqrt{7} \) + 7\( \sqrt{7} \)4! = ?
4 x 3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 |
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3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.