| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
Alex loaned Monty $500 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $75 | |
| $36 | |
| $40 | |
| $30 |
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 = 0.06 x $500
i = $30
If a mayor is elected with 75% of the votes cast and 39% of a town's 35,000 voters cast a vote, how many votes did the mayor receive?
| 9,282 | |
| 10,238 | |
| 11,330 | |
| 8,054 |
If 39% of the town's 35,000 voters cast ballots the number of votes cast is:
(\( \frac{39}{100} \)) x 35,000 = \( \frac{1,365,000}{100} \) = 13,650
The mayor got 75% of the votes cast which is:
(\( \frac{75}{100} \)) x 13,650 = \( \frac{1,023,750}{100} \) = 10,238 votes.
Solve for \( \frac{5!}{4!} \)
| 4 | |
| 8 | |
| 5 | |
| \( \frac{1}{8} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{5!}{4!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{5}{1} \)
5
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 43 | |
| 54 | |
| 46 | |
| 52 |
The equation for this sequence is:
an = an-1 + 3(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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 47 | |
| 42 | |
| 41 | |
| 46 |
The equation for this sequence is:
an = an-1 + 8
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 + 8
a6 = 33 + 8
a6 = 41