Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest to pay
P is the amount of money borrowed
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
- y = x/-2 → y = -1/2x
- This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
- 2y = 12 - x
- y = 6 - 1/2x
- This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.
(c) 3x - 2y = 0
- -2y = -3x
- y = 3/2x
- This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
- y = -5x²
- This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.
(e) y = 0.3x + 1.6
- 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.
(f) y - 2 = x
- y = x + 2
- 2 is being added to x, so it is <u>NOT</u> an example of direct variation.
The following equations are examples of direct variation:
Answer:
Inequality Form:
b ≥ 1
Interval Notation:
[1,∞)
Step-by-step explanation:
Answer:
y ≈ 2.5
Step-by-step explanation:
Using the Sine rule in Δ XYZ
= , substitute values
= ( cross- multiply )
y sin50° = 2 sin75° ( divide both sides by sin50° )
y = ≈ 2.5 ( to the nearest tenth )
1+3+5+7+9+11+13+15+17+19 is the answer. Hopefully this helped!! :)