| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Charlie loaned Ezra $1,500 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $33 | |
| $6 | |
| $56 | |
| $105 |
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 $1,500
i = 0.07 x $1,500
i = $105
Alex loaned April $1,000 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,080 | |
| $1,070 | |
| $1,040 | |
| $1,030 |
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 = 0.08 x $1,000
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,000 + $80\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for multiplication |
|
commutative property for division |
|
commutative property for multiplication |
|
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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
a(b + c) = ab + ac 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 multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Frank buys two shirts, each with a regular price of $36, how much will he pay for both shirts?
| $64.80 | |
| $28.80 | |
| $43.20 | |
| $46.80 |
By buying two shirts, Frank will save $36 x \( \frac{20}{100} \) = \( \frac{$36 x 20}{100} \) = \( \frac{$720}{100} \) = $7.20 on the second shirt.
So, his total cost will be
$36.00 + ($36.00 - $7.20)
$36.00 + $28.80
$64.80