| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
Frank loaned Diane $400 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $436 | |
| $408 | |
| $416 | |
| $432 |
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 $400
i = 0.08 x $400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $400 + $32A factor is a positive __________ that divides evenly into a given number.
mixed number |
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integer |
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improper fraction |
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fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
17 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 1 | |
| 7 | |
| 5 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 17 people needing transportation leaving 17 - 12 = 5 who will have to find other transportation.
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 31,000 seats in a stadium are filled, how many home fans are in attendance?
| 40,000 | |
| 25,833 | |
| 29,600 | |
| 36,000 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
31,000 fans x \( \frac{5}{6} \) = \( \frac{155000}{6} \) = 25,833 fans.
If all of a roofing company's 6 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
| 18 | |
| 12 | |
| 15 | |
| 6 |
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 6 workers at the company now and that's enough to staff 2 crews so there are \( \frac{6}{2} \) = 3 workers on a crew. 7 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 7 x 3 = 21 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 21 - 6 = 15 new staff for the busy season.