| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
Frank loaned Roger $1,500 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $30 | |
| $22 | |
| $21 | |
| $91 |
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 = 0.02 x $1,500
i = $30
What is -9a4 - 8a4?
| -a8 | |
| -17a-4 | |
| -a16 | |
| -17a4 |
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:
-9a4 - 8a4
(-9 - 8)a4
-17a4
How many hours does it take a car to travel 105 miles at an average speed of 35 miles per hour?
| 8 hours | |
| 1 hour | |
| 7 hours | |
| 3 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 = \( \frac{105mi}{35mph} \)
3 hours
The total water usage for a city is 15,000 gallons each day. Of that total, 35% is for personal use and 63% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 13,500 | |
| 8,500 | |
| 4,200 | |
| 6,000 |
63% of the water consumption is industrial use and 35% is personal use so (63% - 35%) = 28% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{28}{100} \) x 15,000 gallons = 4,200 gallons.
Which of these numbers is a factor of 32?
| 26 | |
| 18 | |
| 34 | |
| 4 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.