The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .
In the question ,
it is given that
the present value of the camper van (P₀) = $38000
given the depreciation rate is 15% each year (r)= -0.15
The future value y ,of the camper van can be given by the formula
y = P₀*(1 + r)ˣ
On putting the values , we get
y = 38000*( 1 - 0.15)ˣ
y = 38000*(0.85)ˣ
Therefore , The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .
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Answer: Choice B. sqrt(2)
Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how
tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1
Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long
a^2 + b^2 = c^2
(1)^2 + (1)^2 = c^2
2 = c^2
c^2 = 2
c = sqrt(2)
The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with
sec(theta) = hypotenuse/adjacent
sec(theta) = AC/AB
sec(theta) = sqrt(2)/1
sec(theta) = sqrt(2) which is why choice B is the answer
Answer:
A≈166.28in²
Step-by-step explanation:
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