| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Charlie loaned Bob $800 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $49 | |
| $40 | |
| $72 | |
| $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 $800
i = 0.05 x $800
i = $40
A machine in a factory has an error rate of 8 parts per 100. The machine normally runs 24 hours a day and produces 10 parts per hour. Yesterday the machine was shut down for 4 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 156.4 | |
| 130.3 | |
| 77.4 | |
| 184 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{8}{100} \) x 10 = \( \frac{8 \times 10}{100} \) = \( \frac{80}{100} \) = 0.8 errors per hour
So, in an average hour, the machine will produce 10 - 0.8 = 9.2 error free parts.
The machine ran for 24 - 4 = 20 hours yesterday so you would expect that 20 x 9.2 = 184 error free parts were produced yesterday.
What is -6z4 - 3z4?
| -3z16 | |
| -3z-8 | |
| -9z4 | |
| -3z8 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-6z4 - 3z4
(-6 - 3)z4
-9z4
How many hours does it take a car to travel 375 miles at an average speed of 75 miles per hour?
| 5 hours | |
| 3 hours | |
| 4 hours | |
| 9 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{375mi}{75mph} \)
5 hours
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 9 gallon tank to fill it exactly halfway?
| 2 | |
| 3 | |
| 6 | |
| 5 |
To fill a 9 gallon tank exactly halfway you'll need 4\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{4\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 3