| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Damon loaned Diane $800 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $824 | |
| $856 | |
| $848 | |
| $808 |
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 = 0.06 x $800
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $800 + $48What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 31 | |
| 25 | |
| 30 | |
| 32 |
The equation for this sequence is:
an = an-1 + 2(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
Simplify \( \sqrt{32} \)
| 2\( \sqrt{4} \) | |
| 5\( \sqrt{4} \) | |
| 9\( \sqrt{4} \) | |
| 4\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
|
associative |
|
PEDMAS |
|
distributive |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
If a car travels 75 miles in 5 hours, what is the average speed?
| 50 mph | |
| 75 mph | |
| 15 mph | |
| 55 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)