PLEASE HURRY!50 POINTS ANS BRAILIEST
1 answer:
Answer:
A:
The decreasing value of car 1 can be represented by an exponential function and car 2 by a linear function
B:
Car 1: f(x) =
Car 2: f(x) = 18500 - 1000x
C:
Car 1 would be $10600.40 after 9 years
Car 2 would be $9500.00 after 9 years
There is a significant difference of $1100.40 in value.
Step-by-step explanation:
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Given Information:
Area of rectangle = 16 square feet
Required Information:
Least amount of material = ?
Answer:
x = 4 ft and y = 4 ft
Step-by-step explanation:
We know that a rectangle has area = xy and perimeter = 2x + 2y
We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.
So we have
xy = 16
y = 16/x
p = 2x + 2y
put the value of y into the equation of perimeter
p = 2x + 2(16/x)
p = 2x + 32/x
Take derivative with respect to x
d/dt (2x + 32/x)
2 - 32/x²
set the derivative equal to zero to minimize the perimeter
2 - 32/x² = 0
32/x² = 2
x² = 32/2
x² = 16
x = ft
put the value of x into equation xy = 16
(4)y = 16
y = 16/4
y = 4 ft
So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.
Verification:
xy = 16
4*4 = 16
16 = 16 (satisfied)
Factor the numerator and factor the denominator.
Then you divide the numerator and the denominator by the common factor to reduce the fraction.
Then you divide the numerator and the denominator by the common factor to reduce the fraction.