Answer:
the answer depends on which type of interest we use:
- simple interest rate = 24%
- compound interest rate = 26.82%
Step-by-step explanation:
the interest rate paid for holding the cards one month 1/50 or 2%.
to convert 2% monthly interest rate to a simple annual rate:
monthly rate x 12 months = 2% x 12 = 24%
now to convert 2% monthly interest rate to an annual rate (using compound interest):
- = (1 + r)ⁿ - 1
- = (1 + 0.02)¹² - 1 = 1.2682 - 1 = 0.2682 or 26.82%
in compound interest, earned interest earns even more interest by itself besides the interest earned by the principal.
First we define the variables:
m = multiple choice questions
s = short answer questions
Next we need to satisfy 2 conditions:
1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:
2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:
By satisfying the conditions provided we were able to create the 2 equations!
<h3>x = 60</h3><h3>y = 60</h3>
x° + 2y° = 180° ⇒ 2y° = 180° - x°
x° = 60° {three sides of the same lengh, means three angles=60°}
2y° = 180° - 60°
2y° = 120°
y° = 60°
1) if they're both 1:
1 x 1 = 1: they preoduct is equal to both factors!
2) if one of them is negative (but not 2!)
for example: -2 and 6: the product is -12, and it's less than both -2 and 6!!!
Answer:
6x² - x - 12
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor.
(2x - 3)(3x + 4)
= 2x(3x + 4) - 3 (3x + 4) ← distribute both parenthesis
= 6x² + 8x - 9x - 12 ← collect like terms
= 6x² - x - 12 ← in expanded form
