| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
Charlie loaned Jennifer $1,100 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,111 | |
| $1,166 | |
| $1,199 | |
| $1,133 |
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 = 0.09 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $99If all of a roofing company's 20 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
| 3 | |
| 14 | |
| 4 | |
| 8 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 20 workers at the company now and that's enough to staff 5 crews so there are \( \frac{20}{5} \) = 4 workers on a crew. 7 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 7 x 4 = 28 total workers to staff the crews during the busy season. The company already employs 20 workers so they need to add 28 - 20 = 8 new staff for the busy season.
What is the distance in miles of a trip that takes 6 hours at an average speed of 25 miles per hour?
| 165 miles | |
| 150 miles | |
| 125 miles | |
| 280 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 25mph \times 6h \)
150 miles
What is \( \frac{-1x^7}{4x^2} \)?
| -\(\frac{1}{4}\)x14 | |
| -\(\frac{1}{4}\)x-5 | |
| -4x5 | |
| -\(\frac{1}{4}\)x5 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-x^7}{4x^2} \)
\( \frac{-1}{4} \) x(7 - 2)
-\(\frac{1}{4}\)x5
What is 4\( \sqrt{2} \) x 3\( \sqrt{2} \)?
| 7\( \sqrt{2} \) | |
| 12\( \sqrt{4} \) | |
| 7\( \sqrt{4} \) | |
| 24 |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{2} \) x 3\( \sqrt{2} \)
(4 x 3)\( \sqrt{2 \times 2} \)
12\( \sqrt{4} \)
Now we need to simplify the radical:
12\( \sqrt{4} \)
12\( \sqrt{2^2} \)
(12)(2)
24