| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
Monty loaned Jennifer $500 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $540 | |
| $515 | |
| $535 | |
| $520 |
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 $500
i = 0.04 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $20If there were a total of 50 raffle tickets sold and you bought 3 tickets, what's the probability that you'll win the raffle?
| 19% | |
| 7% | |
| 14% | |
| 2% |
You have 3 out of the total of 50 raffle tickets sold so you have a (\( \frac{3}{50} \)) x 100 = \( \frac{3 \times 100}{50} \) = \( \frac{300}{50} \) = 7% chance to win the raffle.
What is \( 9 \)\( \sqrt{18} \) + \( 2 \)\( \sqrt{2} \)
| 29\( \sqrt{2} \) | |
| 11\( \sqrt{18} \) | |
| 11\( \sqrt{2} \) | |
| 11\( \sqrt{36} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{18} \) + 2\( \sqrt{2} \)
9\( \sqrt{9 \times 2} \) + 2\( \sqrt{2} \)
9\( \sqrt{3^2 \times 2} \) + 2\( \sqrt{2} \)
(9)(3)\( \sqrt{2} \) + 2\( \sqrt{2} \)
27\( \sqrt{2} \) + 2\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
27\( \sqrt{2} \) + 2\( \sqrt{2} \)What is \( \frac{3}{5} \) ÷ \( \frac{4}{8} \)?
| \(\frac{8}{45}\) | |
| 6 | |
| \(\frac{1}{49}\) | |
| 1\(\frac{1}{5}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{5} \) ÷ \( \frac{4}{8} \) = \( \frac{3}{5} \) x \( \frac{8}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{5} \) x \( \frac{8}{4} \) = \( \frac{3 x 8}{5 x 4} \) = \( \frac{24}{20} \) = 1\(\frac{1}{5}\)
The total water usage for a city is 40,000 gallons each day. Of that total, 12% is for personal use and 44% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,200 | |
| 1,500 | |
| 7,000 | |
| 12,800 |
44% of the water consumption is industrial use and 12% is personal use so (44% - 12%) = 32% more water is used for industrial purposes. 40,000 gallons are consumed daily so industry consumes \( \frac{32}{100} \) x 40,000 gallons = 12,800 gallons.