| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
Ezra loaned Jennifer $300 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?
| $312 | |
| $327 | |
| $303 | |
| $309 |
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 $300
i = 0.01 x $300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $300 + $3The __________ is the greatest factor that divides two integers.
absolute value |
|
least common multiple |
|
greatest common multiple |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 30,000 seats in a stadium are filled, how many home fans are in attendance?
| 32,000 | |
| 32,800 | |
| 29,167 | |
| 22,500 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
30,000 fans x \( \frac{3}{4} \) = \( \frac{90000}{4} \) = 22,500 fans.
What is \( 4 \)\( \sqrt{45} \) + \( 2 \)\( \sqrt{5} \)
| 8\( \sqrt{225} \) | |
| 8\( \sqrt{5} \) | |
| 6\( \sqrt{9} \) | |
| 14\( \sqrt{5} \) |
To add these radicals together their radicands must be the same:
4\( \sqrt{45} \) + 2\( \sqrt{5} \)
4\( \sqrt{9 \times 5} \) + 2\( \sqrt{5} \)
4\( \sqrt{3^2 \times 5} \) + 2\( \sqrt{5} \)
(4)(3)\( \sqrt{5} \) + 2\( \sqrt{5} \)
12\( \sqrt{5} \) + 2\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
12\( \sqrt{5} \) + 2\( \sqrt{5} \)How many 2 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 4 | |
| 9 | |
| 2 | |
| 6 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{4 \text{ gallons}}{2 \text{ gallons}} \) = 2