(Factor by grouping 2-3a)(3-2a)
Answer:
Distance from the base of the escalator to the point on the first floor directly below the top of the escalator = 27.5 feet
Step-by-step explanation:
Given:
Length of escalator = 30 feet
Distance between the floors = 12 feet
To find the distance from base of escalator to the point on the first floor directly below the top of the escalator we will create the figure for the situation.
From the figure we see that a triangle ABC is formed.
We see that the Δ ABC is a right triangle.
Applying Pythagorean theorem for right triangle ABC to find the missing side.

AB = 30 feet
BC = 12 feet
Plugging in values in the theorem.

Solving for AC.

Subtracting both sides by 144.


Taking square root both sides.


∴
feet.
∴ Distance from the base of the escalator to the point on the first floor directly below the top of the escalator = 27.5 feet
Answer:
Slope = -4
Step-by-step explanation:
Slope intercept form: y = mx + b
m = slope
b = y-intercept
Since m represents the slope, then your slope will equal -4.
Answer:
$
After 3 years
Step-by-step explanation:
Use I P R T it's a method for simple interest
I = Interest
P = Amount of money
R = Percent in decimal
T = Time in years
Answer:
I =
(we dont know yet)
P = $
R =
% 
T =

Steps:
1. Set up your numbers with the method I P R T.
2. $65 will be your amount of money.
3. 7.5% needs to be converted because you will need to multiply later on in the problem. Simply move 2 places to the left to convert your percent into a decimal.
4. They want to know the total amount of money in his account at the end of 3 years. So 3 years will be your time in years.
5. After setting up your problem you need to multiply your Amount of money x percent as decimal x time in years.

6. After you find your interest you need to add your amount of money + interest.
Money after 3 years
hope this helped