| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
Alex loaned Ezra $200 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $2 | |
| $20 | |
| $30 | |
| $6 |
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 = 0.01 x $200
i = $2
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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commutative property for division |
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distributive property for division |
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distributive property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 26 | |
| 39 | |
| 31 | |
| 36 |
The equation for this sequence is:
an = an-1 + 2(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
Roger loaned Christine $1,500 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?
| 38 | |
| $1,575 | |
| $1,635 | |
| $1,530 |
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 $1,500
i = 0.09 x $1,500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,500 + $13520 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 6 | |
| 8 | |
| 4 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 20 people needing transportation leaving 20 - 16 = 4 who will have to find other transportation.