| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
Damon loaned Betty $100 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?
| $109 | |
| $102 | |
| $104 | |
| $107 |
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 $100
i = 0.07 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $7What is \( \frac{1}{6} \) x \( \frac{2}{9} \)?
| \(\frac{1}{3}\) | |
| \(\frac{2}{9}\) | |
| \(\frac{1}{27}\) | |
| \(\frac{1}{63}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{6} \) x \( \frac{2}{9} \) = \( \frac{1 x 2}{6 x 9} \) = \( \frac{2}{54} \) = \(\frac{1}{27}\)
Convert c-5 to remove the negative exponent.
| \( \frac{-1}{-5c} \) | |
| \( \frac{1}{c^5} \) | |
| \( \frac{-1}{c^{-5}} \) | |
| \( \frac{1}{c^{-5}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is -8y3 x 3y6?
| -5y18 | |
| -5y6 | |
| -5y3 | |
| -24y9 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-8y3 x 3y6
(-8 x 3)y(3 + 6)
-24y9
What is -y5 + 9y5?
| -10y5 | |
| 10y-5 | |
| 8y5 | |
| 8y25 |
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:
-1y5 + 9y5
(-1 + 9)y5
8y5