| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
Roger loaned Frank $1,300 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $70 | |
| $104 | |
| $75 | |
| $25 |
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 = 0.08 x $1,300
i = $104
A circular logo is enlarged to fit the lid of a jar. The new diameter is 45% larger than the original. By what percentage has the area of the logo increased?
| 17\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 27\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 45% the radius (and, consequently, the total area) increases by \( \frac{45\text{%}}{2} \) = 22\(\frac{1}{2}\)%
A triathlon course includes a 100m swim, a 50.8km bike ride, and a 12.8km run. What is the total length of the race course?
| 41.9km | |
| 63.9km | |
| 63.7km | |
| 43km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 50.8km + 12.8km
total distance = 63.7km
What is \( \frac{4x^8}{8x^3} \)?
| 2x-5 | |
| \(\frac{1}{2}\)x5 | |
| \(\frac{1}{2}\)x24 | |
| \(\frac{1}{2}\)x2\(\frac{2}{3}\) |
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:
\( \frac{4x^8}{8x^3} \)
\( \frac{4}{8} \) x(8 - 3)
\(\frac{1}{2}\)x5
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Ezra buys two shirts, each with a regular price of $30, how much will he pay for both shirts?
| $43.50 | |
| $45.00 | |
| $15.00 | |
| $40.50 |
By buying two shirts, Ezra will save $30 x \( \frac{50}{100} \) = \( \frac{$30 x 50}{100} \) = \( \frac{$1500}{100} \) = $15.00 on the second shirt.
So, his total cost will be
$30.00 + ($30.00 - $15.00)
$30.00 + $15.00
$45.00