| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
Charlie loaned April $1,500 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,575 | |
| $1,605 | |
| $1,620 | |
| $1,560 |
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 $1,500
i = 0.05 x $1,500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,500 + $75A machine in a factory has an error rate of 4 parts per 100. The machine normally runs 24 hours a day and produces 10 parts per hour. Yesterday the machine was shut down for 5 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 104.9 | |
| 94.9 | |
| 128 | |
| 182.4 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{4}{100} \) x 10 = \( \frac{4 \times 10}{100} \) = \( \frac{40}{100} \) = 0.4 errors per hour
So, in an average hour, the machine will produce 10 - 0.4 = 9.6 error free parts.
The machine ran for 24 - 5 = 19 hours yesterday so you would expect that 19 x 9.6 = 182.4 error free parts were produced yesterday.
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 70% of his shots. If the guard takes 15 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 45 | |
| 18 | |
| 19 | |
| 20 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{70}{100} \) = \( \frac{70 x 15}{100} \) = \( \frac{1050}{100} \) = 10 shots
The center makes 50% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{10}{\frac{50}{100}} \) = 10 x \( \frac{100}{50} \) = \( \frac{10 x 100}{50} \) = \( \frac{1000}{50} \) = 20 shots
to make the same number of shots as the guard and thus score the same number of points.
The total water usage for a city is 30,000 gallons each day. Of that total, 21% is for personal use and 45% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 13,500 | |
| 4,800 | |
| 2,400 | |
| 7,200 |
45% of the water consumption is industrial use and 21% is personal use so (45% - 21%) = 24% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes \( \frac{24}{100} \) x 30,000 gallons = 7,200 gallons.
Frank loaned Ezra $300 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $21 | |
| $12 | |
| $18 | |
| $36 |
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 = 0.07 x $300
i = $21