| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
Bob loaned Frank $1,000 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $20 | |
| $10 | |
| $36 | |
| $30 |
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 $1,000
i = 0.02 x $1,000
i = $20
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for multiplication |
|
distributive property for multiplication |
|
commutative property for division |
|
distributive property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 16 | |
| 18 | |
| 10 | |
| 23 |
The equation for this sequence is:
an = an-1 + 3
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3
a6 = 13 + 3
a6 = 16
If there were a total of 150 raffle tickets sold and you bought 6 tickets, what's the probability that you'll win the raffle?
| 1% | |
| 9% | |
| 4% | |
| 19% |
You have 6 out of the total of 150 raffle tickets sold so you have a (\( \frac{6}{150} \)) x 100 = \( \frac{6 \times 100}{150} \) = \( \frac{600}{150} \) = 4% chance to win the raffle.
What is (z2)4?
| z-2 | |
| z8 | |
| 2z4 | |
| z6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z2)4