| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
Charlie loaned Roger $1,400 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $64 | |
| $91 | |
| $12 | |
| $126 |
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 $1,400
i = 0.09 x $1,400
i = $126
A circular logo is enlarged to fit the lid of a jar. The new diameter is 50% larger than the original. By what percentage has the area of the logo increased?
| 20% | |
| 25% | |
| 27\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 50% the radius (and, consequently, the total area) increases by \( \frac{50\text{%}}{2} \) = 25%
If a mayor is elected with 89% of the votes cast and 75% of a town's 39,000 voters cast a vote, how many votes did the mayor receive?
| 19,305 | |
| 26,033 | |
| 26,325 | |
| 23,108 |
If 75% of the town's 39,000 voters cast ballots the number of votes cast is:
(\( \frac{75}{100} \)) x 39,000 = \( \frac{2,925,000}{100} \) = 29,250
The mayor got 89% of the votes cast which is:
(\( \frac{89}{100} \)) x 29,250 = \( \frac{2,603,250}{100} \) = 26,033 votes.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
least common multiple |
|
greatest common factor |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 50,000 seats in a stadium are filled, how many home fans are in attendance?
| 37,600 | |
| 32,000 | |
| 27,000 | |
| 33,333 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
50,000 fans x \( \frac{2}{3} \) = \( \frac{100000}{3} \) = 33,333 fans.