| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Alex loaned Jennifer $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?
| $107 | |
| $108 | |
| $103 | |
| $109 |
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 $100
i = 0.08 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $8What is the distance in miles of a trip that takes 4 hours at an average speed of 40 miles per hour?
| 40 miles | |
| 300 miles | |
| 160 miles | |
| 560 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 4h \)
160 miles
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
integer |
|
mixed number |
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fraction |
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.
Solve 4 + (3 + 2) ÷ 5 x 3 - 42
| \(\frac{3}{8}\) | |
| 2 | |
| -9 | |
| \(\frac{3}{4}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (3 + 2) ÷ 5 x 3 - 42
P: 4 + (5) ÷ 5 x 3 - 42
E: 4 + 5 ÷ 5 x 3 - 16
MD: 4 + \( \frac{5}{5} \) x 3 - 16
MD: 4 + \( \frac{15}{5} \) - 16
AS: \( \frac{20}{5} \) + \( \frac{15}{5} \) - 16
AS: \( \frac{35}{5} \) - 16
AS: \( \frac{35 - 80}{5} \)
\( \frac{-45}{5} \)
-9
What is \( 2 \)\( \sqrt{50} \) - \( 3 \)\( \sqrt{2} \)
| -1\( \sqrt{50} \) | |
| 6\( \sqrt{25} \) | |
| 7\( \sqrt{2} \) | |
| 6\( \sqrt{2} \) |
To subtract these radicals together their radicands must be the same:
2\( \sqrt{50} \) - 3\( \sqrt{2} \)
2\( \sqrt{25 \times 2} \) - 3\( \sqrt{2} \)
2\( \sqrt{5^2 \times 2} \) - 3\( \sqrt{2} \)
(2)(5)\( \sqrt{2} \) - 3\( \sqrt{2} \)
10\( \sqrt{2} \) - 3\( \sqrt{2} \)
Now that the radicands are identical, you can subtract them:
10\( \sqrt{2} \) - 3\( \sqrt{2} \)