| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
Monty 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 | |
| $106 |
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 + $8Find the average of the following numbers: 9, 3, 9, 3.
| 11 | |
| 7 | |
| 6 | |
| 2 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 3 + 9 + 3}{4} \) = \( \frac{24}{4} \) = 6
Convert 1,309,000 to scientific notation.
| 1.309 x 105 | |
| 13.09 x 105 | |
| 1.309 x 10-6 | |
| 1.309 x 106 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
1,309,000 in scientific notation is 1.309 x 106
What is \( 6 \)\( \sqrt{18} \) + \( 3 \)\( \sqrt{2} \)
| 9\( \sqrt{9} \) | |
| 18\( \sqrt{2} \) | |
| 9\( \sqrt{2} \) | |
| 21\( \sqrt{2} \) |
To add these radicals together their radicands must be the same:
6\( \sqrt{18} \) + 3\( \sqrt{2} \)
6\( \sqrt{9 \times 2} \) + 3\( \sqrt{2} \)
6\( \sqrt{3^2 \times 2} \) + 3\( \sqrt{2} \)
(6)(3)\( \sqrt{2} \) + 3\( \sqrt{2} \)
18\( \sqrt{2} \) + 3\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
18\( \sqrt{2} \) + 3\( \sqrt{2} \)Jennifer scored 98% on her final exam. If each question was worth 4 points and there were 320 possible points on the exam, how many questions did Jennifer answer correctly?
| 78 | |
| 64 | |
| 68 | |
| 73 |
Jennifer scored 98% on the test meaning she earned 98% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.98 = 312 points. Each question is worth 4 points so she got \( \frac{312}{4} \) = 78 questions right.