Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.
Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.
And Yes, there is a significant difference.
<h3>What is a function?</h3>A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Car 1 (value in dollars)
Year 1: 18,500
Year 2: 17,390
Year 3: 16,346.60
Car 2 (value in dollars)
Year 1: 18,500
Year 2: 17,500
Year 3: 16,500
The exponential function describes car 1.
Then the function will be
The linear function describes car 2.
Then the value of the car 1 after 10 years will be
Then the value of the car 2 after 10 years will be
Yes, there is a significant difference.
More about the function link is given below.
#SPJ1
Answer:
vertex = (- 1, 1 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = -
y = x² + 2x + 2 ← is in standard form
with a = 1 and b = 2 , then
x = - = - 1
substitute x = - 1 into the equation for y- coordinate of vertex
y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1
vertex = (- 1, 1 )
Answer:
Step-by-step explanation:
Given
Required
The dimension that minimizes the cost
The volume is:
This gives:
Substitute
Make H the subject
The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:
The cost is:
Substitute: and
To minimize the cost, we differentiate
Then set to 0
Rewrite as:
Divide both sides by W
Rewrite as:
Solve for
Take cube roots
Recall that:
Hence, the dimension that minimizes the cost is:
