| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
Bob loaned Charlie $200 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?
| $12 | |
| $90 | |
| $16 | |
| $32 |
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 $200
i = 0.06 x $200
i = $12
What is \( \sqrt{\frac{16}{36}} \)?
| \(\frac{2}{3}\) | |
| 1\(\frac{4}{5}\) | |
| 1 | |
| 1\(\frac{3}{4}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{16}{36}} \)
\( \frac{\sqrt{16}}{\sqrt{36}} \)
\( \frac{\sqrt{4^2}}{\sqrt{6^2}} \)
\(\frac{2}{3}\)
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
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PEDMAS |
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associative |
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commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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mixed number |
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fraction |
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integer |
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 machine in a factory has an error rate of 3 parts per 100. The machine normally runs 24 hours a day and produces 5 parts per hour. Yesterday the machine was shut down for 2 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 101.9 | |
| 146.9 | |
| 130.2 | |
| 106.7 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{3}{100} \) x 5 = \( \frac{3 \times 5}{100} \) = \( \frac{15}{100} \) = 0.15 errors per hour
So, in an average hour, the machine will produce 5 - 0.15 = 4.85 error free parts.
The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 4.85 = 106.7 error free parts were produced yesterday.