| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
Roger loaned Jennifer $200 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?
| $214 | |
| $202 | |
| $206 | |
| $216 |
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 = 0.01 x $200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $200 + $2What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 41 | |
| 38 | |
| 46 | |
| 44 |
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
What is \( \frac{4}{6} \) ÷ \( \frac{4}{7} \)?
| \(\frac{3}{56}\) | |
| \(\frac{9}{35}\) | |
| 1\(\frac{1}{6}\) | |
| 7 |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{6} \) ÷ \( \frac{4}{7} \) = \( \frac{4}{6} \) x \( \frac{7}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{6} \) x \( \frac{7}{4} \) = \( \frac{4 x 7}{6 x 4} \) = \( \frac{28}{24} \) = 1\(\frac{1}{6}\)
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
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.
Which of the following is an improper fraction?
\({2 \over 5} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
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.