| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
Roger loaned Latoya $800 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $840 | |
| $864 | |
| $832 | |
| $824 |
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 = 0.03 x $800
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $800 + $24Convert y-2 to remove the negative exponent.
| \( \frac{-2}{-y} \) | |
| \( \frac{2}{y} \) | |
| \( \frac{1}{y^2} \) | |
| \( \frac{-1}{y^{-2}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 65% larger than the original. By what percentage has the area of the logo increased?
| 17\(\frac{1}{2}\)% | |
| 25% | |
| 15% | |
| 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 65% the radius (and, consequently, the total area) increases by \( \frac{65\text{%}}{2} \) = 32\(\frac{1}{2}\)%
If there were a total of 300 raffle tickets sold and you bought 24 tickets, what's the probability that you'll win the raffle?
| 8% | |
| 15% | |
| 5% | |
| 14% |
You have 24 out of the total of 300 raffle tickets sold so you have a (\( \frac{24}{300} \)) x 100 = \( \frac{24 \times 100}{300} \) = \( \frac{2400}{300} \) = 8% chance to win the raffle.
Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = b |
|
b1 = 1 |
|
all of these are false |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).