| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.66 |
| Score | 0% | 73% |
Roger loaned Bob $1,300 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?
| $26 | |
| $24 | |
| $35 | |
| $44 |
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 $1,300
i = 0.02 x $1,300
i = $26
How many 16-passenger vans will it take to drive all 54 members of the football team to an away game?
| 11 vans | |
| 12 vans | |
| 9 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{54}{16} \) = 3\(\frac{3}{8}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
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.
Convert 0.0005392 to scientific notation.
| 5.392 x 105 | |
| 0.539 x 10-3 | |
| 5.392 x 10-4 | |
| 5.392 x 10-5 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0005392 in scientific notation is 5.392 x 10-4
Simplify \( \frac{20}{76} \).
| \( \frac{2}{3} \) | |
| \( \frac{4}{13} \) | |
| \( \frac{1}{3} \) | |
| \( \frac{5}{19} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{20}{76} \) = \( \frac{\frac{20}{4}}{\frac{76}{4}} \) = \( \frac{5}{19} \)