| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Damon loaned Charlie $500 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $44 | |
| $81 | |
| $25 | |
| $36 |
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 $500
i = 0.05 x $500
i = $25
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 70 | |
| 56 | |
| 61 | |
| 53 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
Simplify \( \sqrt{50} \)
| 4\( \sqrt{4} \) | |
| 5\( \sqrt{2} \) | |
| 5\( \sqrt{4} \) | |
| 6\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{50} \)
\( \sqrt{25 \times 2} \)
\( \sqrt{5^2 \times 2} \)
5\( \sqrt{2} \)
What is the next number in this sequence: 1, 5, 9, 13, 17, __________ ?
| 28 | |
| 21 | |
| 29 | |
| 23 |
The equation for this sequence is:
an = an-1 + 4
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 + 4
a6 = 17 + 4
a6 = 21
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 39,000 seats in a stadium are filled, how many home fans are in attendance?
| 25,600 | |
| 29,250 | |
| 32,250 | |
| 25,000 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
39,000 fans x \( \frac{3}{4} \) = \( \frac{117000}{4} \) = 29,250 fans.