| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Damon loaned Betty $300 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $312 | |
| $327 | |
| $321 | |
| $315 |
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 $300
i = 0.04 x $300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $300 + $12What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 25 | |
| 38 | |
| 31 | |
| 37 |
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
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
|
associative |
|
PEDMAS |
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distributive |
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 menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Charlie buys two shirts, each with a regular price of $35, how much money will he save?
| $3.50 | |
| $7.00 | |
| $10.50 | |
| $17.50 |
By buying two shirts, Charlie will save $35 x \( \frac{50}{100} \) = \( \frac{$35 x 50}{100} \) = \( \frac{$1750}{100} \) = $17.50 on the second shirt.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Monty buys two shirts, each with a regular price of $47, how much will he pay for both shirts?
| $11.75 | |
| $56.40 | |
| $82.25 | |
| $35.25 |
By buying two shirts, Monty will save $47 x \( \frac{25}{100} \) = \( \frac{$47 x 25}{100} \) = \( \frac{$1175}{100} \) = $11.75 on the second shirt.
So, his total cost will be
$47.00 + ($47.00 - $11.75)
$47.00 + $35.25
$82.25