A new car is purchased for $ 41 , 000 $41,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?

$800

Step-by-step explanation:

A = P

Because it's every 3 years, you need to find how many 3 years in the 17-year-period of time.

17/3 = 5.666...

P is initial amount:

A = $41, 000

A = 41, 000 (0.01968...)

A = 807.13692...

A ≈ $800

Rounded to the nearest hundred dollars.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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