| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
Which of the following statements about exponents is false?
b1 = 1 |
|
b0 = 1 |
|
b1 = b |
|
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).
Charlie loaned Monica $1,200 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,260 | |
| $1,224 | |
| $1,284 | |
| $1,212 |
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 = 0.02 x $1,200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,200 + $24If there were a total of 450 raffle tickets sold and you bought 13 tickets, what's the probability that you'll win the raffle?
| 16% | |
| 2% | |
| 13% | |
| 3% |
You have 13 out of the total of 450 raffle tickets sold so you have a (\( \frac{13}{450} \)) x 100 = \( \frac{13 \times 100}{450} \) = \( \frac{1300}{450} \) = 3% chance to win the raffle.
What is \( \frac{9z^5}{3z^4} \)?
| 3z | |
| 3z9 | |
| 3z20 | |
| \(\frac{1}{3}\)z |
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:
\( \frac{9z^5}{3z^4} \)
\( \frac{9}{3} \) z(5 - 4)
3z
4! = ?
4 x 3 |
|
4 x 3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
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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.