| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.80 |
| Score | 0% | 76% |
Alex loaned Latoya $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?
| $106 | |
| $109 | |
| $107 | |
| $108 |
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 least common multiple of 2 and 6?
| 10 | |
| 4 | |
| 6 | |
| 9 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 have in common.
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 35 | |
| 26 | |
| 17 | |
| 28 |
The equation for this sequence is:
an = an-1 + 5
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 5
a6 = 21 + 5
a6 = 26
What is 3x2 x 3x4?
| 9x2 | |
| 6x6 | |
| 9x6 | |
| 9x-2 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
3x2 x 3x4
(3 x 3)x(2 + 4)
9x6
What is \( \frac{3}{8} \) x \( \frac{3}{8} \)?
| \(\frac{1}{5}\) | |
| \(\frac{4}{21}\) | |
| \(\frac{1}{6}\) | |
| \(\frac{9}{64}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{3}{8} \) = \( \frac{3 x 3}{8 x 8} \) = \( \frac{9}{64} \) = \(\frac{9}{64}\)