| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 37 | |
| 39 | |
| 46 | |
| 47 |
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
Which of the following is not an integer?
\({1 \over 2}\) |
|
0 |
|
-1 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 33,000 seats in a stadium are filled, how many home fans are in attendance?
| 38,400 | |
| 26,400 | |
| 31,200 | |
| 28,500 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
33,000 fans x \( \frac{4}{5} \) = \( \frac{132000}{5} \) = 26,400 fans.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Frank buys two shirts, each with a regular price of $49, how much money will he save?
| $14.70 | |
| $4.90 | |
| $12.25 | |
| $9.80 |
By buying two shirts, Frank will save $49 x \( \frac{10}{100} \) = \( \frac{$49 x 10}{100} \) = \( \frac{$490}{100} \) = $4.90 on the second shirt.
Monty loaned Latoya $1,400 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,442 | |
| $1,512 | |
| $1,526 | |
| $1,484 |
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
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,400 + $126