| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
Bob loaned Jennifer $1,300 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?
| $1,417 | |
| $1,352 | |
| $1,378 | |
| $1,326 |
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 $1,300
i = 0.02 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $26A factor is a positive __________ that divides evenly into a given number.
mixed number |
|
integer |
|
fraction |
|
improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication |
|
commutative property for division |
|
distributive property for division |
|
commutative 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.
Convert c-3 to remove the negative exponent.
| \( \frac{-1}{c^{-3}} \) | |
| \( \frac{1}{c^{-3}} \) | |
| \( \frac{-3}{c} \) | |
| \( \frac{1}{c^3} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 5:8 | |
| 25:2 | |
| 5:2 | |
| 3:6 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.