| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Damon loaned Monty $900 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $9 | |
| $14 | |
| $24 | |
| $35 |
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 = 0.01 x $900
i = $9
If a rectangle is twice as long as it is wide and has a perimeter of 36 meters, what is the area of the rectangle?
| 128 m2 | |
| 72 m2 | |
| 50 m2 | |
| 18 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 36 meters so the equation becomes: 2w + 2h = 36.
Putting these two equations together and solving for width (w):
2w + 2h = 36
w + h = \( \frac{36}{2} \)
w + h = 18
w = 18 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 18 - 2w
3w = 18
w = \( \frac{18}{3} \)
w = 6
Since h = 2w that makes h = (2 x 6) = 12 and the area = h x w = 6 x 12 = 72 m2
What is the next number in this sequence: 1, 7, 13, 19, 25, __________ ?
| 33 | |
| 38 | |
| 22 | |
| 31 |
The equation for this sequence is:
an = an-1 + 6
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 + 6
a6 = 25 + 6
a6 = 31
What is \( \frac{4}{2} \) + \( \frac{8}{10} \)?
| 2\(\frac{4}{5}\) | |
| 2 \( \frac{2}{10} \) | |
| 2 \( \frac{8}{11} \) | |
| \( \frac{5}{8} \) |
To add 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 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 5}{2 x 5} \) + \( \frac{8 x 1}{10 x 1} \)
\( \frac{20}{10} \) + \( \frac{8}{10} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{20 + 8}{10} \) = \( \frac{28}{10} \) = 2\(\frac{4}{5}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Damon buys two shirts, each with a regular price of $36, how much money will he save?
| $14.40 | |
| $9.00 | |
| $5.40 | |
| $16.20 |
By buying two shirts, Damon will save $36 x \( \frac{25}{100} \) = \( \frac{$36 x 25}{100} \) = \( \frac{$900}{100} \) = $9.00 on the second shirt.