| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
Bob loaned April $1,300 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?
| $1,352 | |
| $1,378 | |
| $1,404 | |
| $1,326 |
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 $1,300
i = 0.08 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $104The __________ 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.
Solve for \( \frac{2!}{4!} \)
| 72 | |
| \( \frac{1}{12} \) | |
| \( \frac{1}{120} \) | |
| 840 |
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:
\( \frac{2!}{4!} \)
\( \frac{2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4 \times 3} \)
\( \frac{1}{12} \)
Simplify \( \sqrt{50} \)
| 5\( \sqrt{2} \) | |
| 7\( \sqrt{2} \) | |
| 6\( \sqrt{2} \) | |
| 4\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{50} \)
\( \sqrt{25 \times 2} \)
\( \sqrt{5^2 \times 2} \)
5\( \sqrt{2} \)
A bread recipe calls for 3\(\frac{1}{2}\) cups of flour. If you only have \(\frac{5}{8}\) cup, how much more flour is needed?
| \(\frac{3}{4}\) cups | |
| 2\(\frac{3}{8}\) cups | |
| 2\(\frac{7}{8}\) cups | |
| 2\(\frac{1}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{2}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{28}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{23}{8} \) cups
2\(\frac{7}{8}\) cups