| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
Solve for \( \frac{2!}{3!} \)
| \( \frac{1}{9} \) | |
| 56 | |
| \( \frac{1}{4} \) | |
| \( \frac{1}{3} \) |
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:
\( \frac{2!}{3!} \)
\( \frac{2 \times 1}{3 \times 2 \times 1} \)
\( \frac{1}{3} \)
\( \frac{1}{3} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Alex buys two shirts, each with a regular price of $27, how much money will he save?
| $12.15 | |
| $9.45 | |
| $10.80 | |
| $4.05 |
By buying two shirts, Alex will save $27 x \( \frac{40}{100} \) = \( \frac{$27 x 40}{100} \) = \( \frac{$1080}{100} \) = $10.80 on the second shirt.
Charlie loaned Christine $200 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $212 | |
| $202 | |
| $208 | |
| $204 |
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 $200
i = 0.02 x $200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $200 + $4How many 8-passenger vans will it take to drive all 81 members of the football team to an away game?
| 10 vans | |
| 13 vans | |
| 11 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{81}{8} \) = 10\(\frac{1}{8}\)
So, it will take 10 full vans and one partially full van to transport the entire team making a total of 11 vans.
Roger loaned Roger $1,100 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $48 | |
| $9 | |
| $18 | |
| $22 |
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 $1,100
i = 0.02 x $1,100
i = $22