| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
Bob loaned Jennifer $500 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?
| $535 | |
| $515 | |
| $525 | |
| $510 |
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 $500
i = 0.02 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $10What is the distance in miles of a trip that takes 1 hour at an average speed of 45 miles per hour?
| 45 miles | |
| 135 miles | |
| 140 miles | |
| 180 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 45mph \times 1h \)
45 miles
If a car travels 75 miles in 5 hours, what is the average speed?
| 15 mph | |
| 70 mph | |
| 65 mph | |
| 35 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)
| 2.8 | |
| 5.6 | |
| 2.0 | |
| 1 |
1
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for multiplication |
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distributive property for multiplication |
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commutative property for division |
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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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).