| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
Bob loaned Christine $1,200 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,272 | |
| $1,260 | |
| $1,212 | |
| $1,284 |
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 $1,200
i = 0.06 x $1,200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,200 + $72What is \( \frac{7}{4} \) + \( \frac{5}{10} \)?
| 2 \( \frac{5}{20} \) | |
| 2 \( \frac{3}{8} \) | |
| \( \frac{7}{20} \) | |
| 2\(\frac{1}{4}\) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [20, 40, 60, 80] making 20 the smallest multiple 4 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{7 x 5}{4 x 5} \) + \( \frac{5 x 2}{10 x 2} \)
\( \frac{35}{20} \) + \( \frac{10}{20} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{35 + 10}{20} \) = \( \frac{45}{20} \) = 2\(\frac{1}{4}\)
Which of the following statements about exponents is false?
b0 = 1 |
|
all of these are false |
|
b1 = b |
|
b1 = 1 |
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).
Simplify \( \frac{40}{60} \).
| \( \frac{2}{3} \) | |
| \( \frac{5}{19} \) | |
| \( \frac{9}{19} \) | |
| \( \frac{10}{13} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 6 factors [1, 2, 4, 5, 10, 20] making 20 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{40}{60} \) = \( \frac{\frac{40}{20}}{\frac{60}{20}} \) = \( \frac{2}{3} \)
Monty loaned Bob $1,000 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $60 | |
| $2 | |
| $70 | |
| $10 |
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 $1,000
i = 0.06 x $1,000
i = $60