| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Monty loaned Latoya $600 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?
| $636 | |
| $642 | |
| $648 | |
| $630 |
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 $600
i = 0.06 x $600
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $600 + $36A factor is a positive __________ that divides evenly into a given number.
mixed number |
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fraction |
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integer |
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improper fraction |
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.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
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distributive |
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commutative |
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associative |
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.
The total water usage for a city is 10,000 gallons each day. Of that total, 21% is for personal use and 50% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,000 | |
| 12,250 | |
| 2,900 | |
| 5,850 |
50% of the water consumption is industrial use and 21% is personal use so (50% - 21%) = 29% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{29}{100} \) x 10,000 gallons = 2,900 gallons.
What is \( \frac{7}{3} \) - \( \frac{3}{5} \)?
| \( \frac{3}{15} \) | |
| 2 \( \frac{9}{18} \) | |
| 1\(\frac{11}{15}\) | |
| \( \frac{1}{6} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{7 x 5}{3 x 5} \) - \( \frac{3 x 3}{5 x 3} \)
\( \frac{35}{15} \) - \( \frac{9}{15} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{35 - 9}{15} \) = \( \frac{26}{15} \) = 1\(\frac{11}{15}\)