| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
Monty loaned April $800 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $864 | |
| $840 | |
| $872 | |
| $808 |
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 $800
i = 0.05 x $800
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $800 + $40What is \( 9 \)\( \sqrt{63} \) + \( 9 \)\( \sqrt{7} \)
| 81\( \sqrt{441} \) | |
| 81\( \sqrt{9} \) | |
| 36\( \sqrt{7} \) | |
| 18\( \sqrt{441} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{63} \) + 9\( \sqrt{7} \)
9\( \sqrt{9 \times 7} \) + 9\( \sqrt{7} \)
9\( \sqrt{3^2 \times 7} \) + 9\( \sqrt{7} \)
(9)(3)\( \sqrt{7} \) + 9\( \sqrt{7} \)
27\( \sqrt{7} \) + 9\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
27\( \sqrt{7} \) + 9\( \sqrt{7} \)The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
greatest common factor |
|
least common factor |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A factor is a positive __________ that divides evenly into a given number.
integer |
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improper fraction |
|
fraction |
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mixed number |
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.
What is -7y7 + 6y7?
| 13y-7 | |
| -y14 | |
| -y7 | |
| -13y7 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-7y7 + 6y7
(-7 + 6)y7
-y7