| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
Alex loaned Monica $900 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?
| $927 | |
| $972 | |
| $909 | |
| $981 |
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 $900
i = 0.09 x $900
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $900 + $81Convert 0.0004026 to scientific notation.
| 4.026 x 10-4 | |
| 0.403 x 10-3 | |
| 4.026 x 10-5 | |
| 4.026 x 10-3 |
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:
0.0004026 in scientific notation is 4.026 x 10-4
April scored 84% on her final exam. If each question was worth 4 points and there were 280 possible points on the exam, how many questions did April answer correctly?
| 69 | |
| 50 | |
| 59 | |
| 58 |
April scored 84% on the test meaning she earned 84% of the possible points on the test. There were 280 possible points on the test so she earned 280 x 0.84 = 236 points. Each question is worth 4 points so she got \( \frac{236}{4} \) = 59 questions right.
| 1 | |
| 1.5 | |
| 0.5 | |
| 2.0 |
1
What is \( \frac{7}{2} \) - \( \frac{7}{8} \)?
| 1 \( \frac{6}{12} \) | |
| 2\(\frac{5}{8}\) | |
| 1 \( \frac{6}{8} \) | |
| 2 \( \frac{6}{10} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{7 x 4}{2 x 4} \) - \( \frac{7 x 1}{8 x 1} \)
\( \frac{28}{8} \) - \( \frac{7}{8} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{28 - 7}{8} \) = \( \frac{21}{8} \) = 2\(\frac{5}{8}\)