Answer:
Step-by-step explanation:
Let the x-axis be the time (in years) and the y-axis the value of the fax machine (in dollars).
We know that the initial value of the fax machine is $100; in other words, when the time is zero years, the value is $100, or as an ordered pair (0, 100). We also know that after 1 year the value decreases to $80, so (1, 80).
Now we can find the slope of the line passing through those two points using the slope formula
where
is the slope
are the coordinates of the first point
are the coordinates of the second point
Replacing values:
Now, to complete our model we are using the point slope formula
where
is the slope
are the coordinates of the first point
Replacing values:
We can conclude that the correct linear depreciation model is
The Pythagorean theorem tells you
... a² + b² = c²
so
... a² = c² - b² = 16² - 9² = 256-81 = 175
... a = √175 = √(25·7)
... a = 5√7
Answer:
Answer is line and ray.
Step-by-step explanation:
Ray - A ray starts from a point and ends to the infinity.
Therefore, ray is one dimensional and has infinite length.
Point - It is one dimensional but has no length.
Plane - It may be three/two dimensional.
Segment - It is one dimensional but has a limited length.
Line - It's one dimensional with infinite length.
Angle - It's two dimensional structure.
Answer is line and ray.
Given :
Price per folder = $2.15 .
Price per notebook = $4.60 .
The supply budget for this meeting is $150.
To Find :
Inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase.
Solution :
Let, number of folders and notebooks is f and n.
So, price of buying f and n number of folders and notebooks are :
P = 2.15f + 4.60n
Now, it is given that P ≤ $150 .
So,
2.15f + 4.60n ≤ 150
Hence, this is the required solution.
All you need to do is multiply 300 by 1.15 to find what the total cost is.
300 • 1.15 is equal to 345. Now subtract, 345 - 300 = ?
