| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
Which of the following statements about exponents is false?
b1 = b |
|
b0 = 1 |
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b1 = 1 |
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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).
Alex loaned Latoya $300 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $309 | |
| $318 | |
| $321 | |
| $312 |
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 $300
i = 0.06 x $300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $300 + $18On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 30 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 26 | |
| 33 | |
| 75 | |
| 50 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{50}{100} \) = \( \frac{50 x 30}{100} \) = \( \frac{1500}{100} \) = 15 shots
The center makes 30% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{15}{\frac{30}{100}} \) = 15 x \( \frac{100}{30} \) = \( \frac{15 x 100}{30} \) = \( \frac{1500}{30} \) = 50 shots
to make the same number of shots as the guard and thus score the same number of points.
4! = ?
3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 |
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.
The total water usage for a city is 10,000 gallons each day. Of that total, 24% is for personal use and 47% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 1,400 | |
| 3,500 | |
| 2,300 | |
| 1,600 |
47% of the water consumption is industrial use and 24% is personal use so (47% - 24%) = 23% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{23}{100} \) x 10,000 gallons = 2,300 gallons.