| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
Damon loaned Latoya $1,300 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,326 | |
| $1,417 | |
| $1,404 | |
| $1,365 |
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 $1,300
i = 0.02 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $26A tiger in a zoo has consumed 36 pounds of food in 4 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 90 pounds?
| 1 | |
| 6 | |
| 10 | |
| 5 |
If the tiger has consumed 36 pounds of food in 4 days that's \( \frac{36}{4} \) = 9 pounds of food per day. The tiger needs to consume 90 - 36 = 54 more pounds of food to reach 90 pounds total. At 9 pounds of food per day that's \( \frac{54}{9} \) = 6 more days.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common multiple |
|
least common factor |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
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?
| 162 m2 | |
| 8 m2 | |
| 98 m2 | |
| 32 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
12 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 8 | |
| 1 | |
| 4 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 12 people needing transportation leaving 12 - 8 = 4 who will have to find other transportation.