| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
Monty loaned Frank $1,200 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $96 | |
| $6 | |
| $16 | |
| $12 |
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 = 0.08 x $1,200
i = $96
In a class of 19 students, 11 are taking German and 7 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 13 | |
| 19 | |
| 18 | |
| 5 |
The number of students taking German or Spanish is 11 + 7 = 18. Of that group of 18, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 18 - 4 = 14 who are taking at least one language. 19 - 14 = 5 students who are not taking either language.
If a car travels 135 miles in 9 hours, what is the average speed?
| 40 mph | |
| 65 mph | |
| 20 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
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commutative property for division |
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distributive property for multiplication |
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commutative 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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
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 $26, how much money will he save?
| $5.20 | |
| $11.70 | |
| $10.40 | |
| $13.00 |
By buying two shirts, Frank will save $26 x \( \frac{20}{100} \) = \( \frac{$26 x 20}{100} \) = \( \frac{$520}{100} \) = $5.20 on the second shirt.