If 1% is equal to 0.01
and 1/2% is equal to 0.005
then 1 1/2% is equal to 0.015
Answer:
y = 0.3
Step-by-step explanation:
Solve for y:
(3.2y - 1.8) - (5.2 y + 3.4) = -5.8
-(5.2y + 3.4) = -5.2y - 3.4:
3.2y - 1.8 -5.2y - 3.4 = -5.8
Grouping like terms, 3.2y - 1.8 - 5.2y - 3.4 = (3.2y - 5.2y) + (-1.8 - 3.4):
(3.2y - 5.2y) + (-1.8 - 3.4) = -5.8
3.2y - 5.2y = -2 y:
-2y + (-1.8 - 3.4) = -5.8
-1.8 - 3.4 = -5.2:
-5.2 - 2y = -5.8
Add 5.2` to both sides:
(5.2 - 5.2) - 2y = 5.2 - 5.8
5.2 - 5.2 = 0:
-2y = 5.2 - 5.8
5.2 - 5.8 = -0.6:
-2y = -0.6
Divide both sides of -2y = -0.6 by -2:
y = 0.3
Let x = discount rate
Equate:
$80(1-x) = $60
Solve for x:
1-x = 60/80
1-x = 3/4
x = 1 - 3/4
x = 1/4 or 0.25
x = 25%
Can you show a picture of it
By connecting the top of the height of the bird feeder and the tip of the shadow casted, we form a right triangle. The hypotenuse is equal to the given distance between the top of the bird feeder and the top of the shadow which is equal to 19 feet.
If we let x be the height of the bird feeder and x/2 be the length of the shadow, by Pythagorean theorem,
x² + (0.5x)² = 19²
The value of x from the equation is 16.99 ft or 17 ft.
Thus, the height of the bird feeder is 17 ft and the shadow is approximately 8.5 ft.
