| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
Damon loaned Betty $1,100 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?
| $1,166 | |
| $1,155 | |
| $1,144 | |
| $1,188 |
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 $1,100
i = 0.05 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $55
| 3.2 | |
| 8.1 | |
| 1 | |
| 1.0 |
1
If a car travels 65 miles in 1 hour, what is the average speed?
| 20 mph | |
| 55 mph | |
| 45 mph | |
| 65 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If a rectangle is twice as long as it is wide and has a perimeter of 24 meters, what is the area of the rectangle?
| 98 m2 | |
| 128 m2 | |
| 32 m2 | |
| 50 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 24 meters so the equation becomes: 2w + 2h = 24.
Putting these two equations together and solving for width (w):
2w + 2h = 24
w + h = \( \frac{24}{2} \)
w + h = 12
w = 12 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 12 - 2w
3w = 12
w = \( \frac{12}{3} \)
w = 4
Since h = 2w that makes h = (2 x 4) = 8 and the area = h x w = 4 x 8 = 32 m2
What is the greatest common factor of 40 and 24?
| 15 | |
| 7 | |
| 8 | |
| 3 |
The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 40 and 24 have in common.