| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
Monty loaned Alex $100 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?
| $32 | |
| $9 | |
| $7 | |
| $4 |
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 $100
i = 0.04 x $100
i = $4
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
|
commutative property for multiplication |
|
commutative property for division |
|
distributive property for multiplication |
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 3\( \sqrt{7} \) x 5\( \sqrt{3} \)?
| 15\( \sqrt{10} \) | |
| 15\( \sqrt{7} \) | |
| 15\( \sqrt{21} \) | |
| 8\( \sqrt{3} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
3\( \sqrt{7} \) x 5\( \sqrt{3} \)
(3 x 5)\( \sqrt{7 \times 3} \)
15\( \sqrt{21} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Alex buys two shirts, each with a regular price of $38, how much money will he save?
| $15.20 | |
| $3.80 | |
| $1.90 | |
| $13.30 |
By buying two shirts, Alex will save $38 x \( \frac{40}{100} \) = \( \frac{$38 x 40}{100} \) = \( \frac{$1520}{100} \) = $15.20 on the second shirt.
What is 7z3 - 5z3?
| -2z3 | |
| 12z-6 | |
| 2z3 | |
| 12z3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
7z3 - 5z3
(7 - 5)z3
2z3