| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Frank loaned Frank $600 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $56 | |
| $98 | |
| $18 | |
| $8 |
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 $600
i = 0.03 x $600
i = $18
Which of the following statements about exponents is false?
b1 = 1 |
|
all of these are false |
|
b0 = 1 |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
Christine scored 89% on her final exam. If each question was worth 3 points and there were 300 possible points on the exam, how many questions did Christine answer correctly?
| 94 | |
| 96 | |
| 89 | |
| 104 |
Christine scored 89% on the test meaning she earned 89% of the possible points on the test. There were 300 possible points on the test so she earned 300 x 0.89 = 267 points. Each question is worth 3 points so she got \( \frac{267}{3} \) = 89 questions right.
How many hours does it take a car to travel 90 miles at an average speed of 30 miles per hour?
| 4 hours | |
| 5 hours | |
| 1 hour | |
| 3 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{90mi}{30mph} \)
3 hours
What is 8\( \sqrt{3} \) x 8\( \sqrt{5} \)?
| 64\( \sqrt{5} \) | |
| 64\( \sqrt{8} \) | |
| 16\( \sqrt{3} \) | |
| 64\( \sqrt{15} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
8\( \sqrt{3} \) x 8\( \sqrt{5} \)
(8 x 8)\( \sqrt{3 \times 5} \)
64\( \sqrt{15} \)