| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
Frank loaned Roger $1,400 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $70 | |
| $90 | |
| $21 | |
| $56 |
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 $1,400
i = 0.05 x $1,400
i = $70
What is \( \frac{5a^7}{7a^2} \)?
| \(\frac{5}{7}\)a5 | |
| \(\frac{5}{7}\)a-5 | |
| \(\frac{5}{7}\)a\(\frac{2}{7}\) | |
| 1\(\frac{2}{5}\)a-5 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{5a^7}{7a^2} \)
\( \frac{5}{7} \) a(7 - 2)
\(\frac{5}{7}\)a5
Which of the following statements about exponents is false?
b0 = 1 |
|
all of these are false |
|
b1 = 1 |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 37,000 seats in a stadium are filled, how many home fans are in attendance?
| 27,750 | |
| 32,000 | |
| 20,667 | |
| 30,833 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
37,000 fans x \( \frac{3}{4} \) = \( \frac{111000}{4} \) = 27,750 fans.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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absolute value |
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least common multiple |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.