| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
Which of the following is not an integer?
0 |
|
-1 |
|
\({1 \over 2}\) |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Monty loaned Latoya $1,500 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,635 | |
| $1,515 | |
| $1,560 | |
| $1,590 |
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 $1,500
i = 0.01 x $1,500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,500 + $15If a mayor is elected with 75% of the votes cast and 86% of a town's 36,000 voters cast a vote, how many votes did the mayor receive?
| 17,028 | |
| 17,338 | |
| 25,078 | |
| 23,220 |
If 86% of the town's 36,000 voters cast ballots the number of votes cast is:
(\( \frac{86}{100} \)) x 36,000 = \( \frac{3,096,000}{100} \) = 30,960
The mayor got 75% of the votes cast which is:
(\( \frac{75}{100} \)) x 30,960 = \( \frac{2,322,000}{100} \) = 23,220 votes.
Simplify \( \frac{28}{60} \).
| \( \frac{2}{3} \) | |
| \( \frac{3}{7} \) | |
| \( \frac{1}{4} \) | |
| \( \frac{7}{15} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{28}{60} \) = \( \frac{\frac{28}{4}}{\frac{60}{4}} \) = \( \frac{7}{15} \)
If there were a total of 350 raffle tickets sold and you bought 17 tickets, what's the probability that you'll win the raffle?
| 19% | |
| 12% | |
| 5% | |
| 7% |
You have 17 out of the total of 350 raffle tickets sold so you have a (\( \frac{17}{350} \)) x 100 = \( \frac{17 \times 100}{350} \) = \( \frac{1700}{350} \) = 5% chance to win the raffle.