| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
What is the least common multiple of 5 and 9?
| 7 | |
| 37 | |
| 45 | |
| 38 |
The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 5 and 9 have in common.
Charlie loaned Roger $1,400 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $14 | |
| $28 | |
| $30 | |
| $60 |
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 = 0.01 x $1,400
i = $14
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Charlie buys two shirts, each with a regular price of $25, how much will he pay for both shirts?
| $43.75 | |
| $18.75 | |
| $33.75 | |
| $30.00 |
By buying two shirts, Charlie will save $25 x \( \frac{25}{100} \) = \( \frac{$25 x 25}{100} \) = \( \frac{$625}{100} \) = $6.25 on the second shirt.
So, his total cost will be
$25.00 + ($25.00 - $6.25)
$25.00 + $18.75
$43.75
Simplify \( \frac{24}{76} \).
| \( \frac{6}{19} \) | |
| \( \frac{1}{2} \) | |
| \( \frac{2}{3} \) | |
| \( \frac{3}{8} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] 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:
\( \frac{24}{76} \) = \( \frac{\frac{24}{4}}{\frac{76}{4}} \) = \( \frac{6}{19} \)
Convert a-3 to remove the negative exponent.
| \( \frac{3}{a} \) | |
| \( \frac{1}{a^3} \) | |
| \( \frac{1}{a^{-3}} \) | |
| \( \frac{-1}{-3a^{3}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.