| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
4! = ?
4 x 3 |
|
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Frank loaned Monty $1,200 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $24 | |
| $18 | |
| $84 | |
| $32 |
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 $1,200
i = 0.07 x $1,200
i = $84
The total water usage for a city is 25,000 gallons each day. Of that total, 12% is for personal use and 26% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 15,749 | |
| 8,400 | |
| 3,500 | |
| 2,850 |
26% of the water consumption is industrial use and 12% is personal use so (26% - 12%) = 14% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{14}{100} \) x 25,000 gallons = 3,500 gallons.
Simplify \( \sqrt{80} \)
| 4\( \sqrt{5} \) | |
| 3\( \sqrt{5} \) | |
| 5\( \sqrt{10} \) | |
| 5\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{80} \)
\( \sqrt{16 \times 5} \)
\( \sqrt{4^2 \times 5} \)
4\( \sqrt{5} \)
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.