| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
The total water usage for a city is 5,000 gallons each day. Of that total, 16% is for personal use and 36% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 3,300 | |
| 6,600 | |
| 13,000 | |
| 1,000 |
36% of the water consumption is industrial use and 16% is personal use so (36% - 16%) = 20% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{20}{100} \) x 5,000 gallons = 1,000 gallons.
4! = ?
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Which of the following statements about exponents is false?
b1 = b |
|
b1 = 1 |
|
all of these are false |
|
b0 = 1 |
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).
If a mayor is elected with 84% of the votes cast and 60% of a town's 10,000 voters cast a vote, how many votes did the mayor receive?
| 3,900 | |
| 4,860 | |
| 4,740 | |
| 5,040 |
If 60% of the town's 10,000 voters cast ballots the number of votes cast is:
(\( \frac{60}{100} \)) x 10,000 = \( \frac{600,000}{100} \) = 6,000
The mayor got 84% of the votes cast which is:
(\( \frac{84}{100} \)) x 6,000 = \( \frac{504,000}{100} \) = 5,040 votes.
Damon loaned Frank $1,200 at an annual interest rate of 4%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $48 | |
| $12 | |
| $72 | |
| $6 |
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 $1,200
i = 0.04 x $1,200
i = $48