Answer: the value of the car after 7 years is $11220
Step-by-step explanation:
The formula for determining depreciation is expressed as
A = P(1 - r)^t
Where
A represents the final value of the car after t years.
P represents the present value of the car.
r represents the rate of depreciation
t represents the number of years.
From the information given
P = 35000
r = 15% = 15/100 = 0.15
t = 7 years
Therefore,
A = 35000(1 - 0.15)^7
A = 35000(0.85)^7
A = 11220.198
Rounding up yo the nearest dollar, it becomes $11220
Answer:
Formula for the Arc length is given by:

As per the statement:
radius of circle(r) = 6 units
Angle (
) =
radian
Use conversion:

= 
then;
substitute these given values we have;
Use value of 

or

Simplify:

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units
SEE ATTACHED IMAGE TO OBSERVE THE GRAPH OF THE FUNCTION.
For this case, the first thing we should see are the cut points with the x axis.
We note that the graph cuts to the x-axis at x = -2
Therefore, x = -2 is the real solution to the polynomial.
Also this function:
x3 + 6x2 + 12x + 8
It can be rewritten as:
(x + 2) ^ 3
From where we conclude that its roots are:
x = -2 (with multiplicity 3)
Answer:
the equation x3 + 6x2 + 12x + 8 = 0 have:
x = -2
As a real solution with multiplicity 3.