There are currently 73 million cars in a certain country, decreasing by 1.7% annually. How many years will it take for this country to have 54 million cars? Round to the
nearest year.

17.6 years

Step-by-step explanation:

There are currently 73 million cars in a certain country, decreasing by 1.7% annually.

How many years will it take for this country to have 54 million cars? Round to the

nearest year.

We use the formula

y = a(1 - r)^t

a = Initial amount = 73 million cars

y = Future amount = 54 million cars

r = decreasing rate = 1.7 % = 0.017

t = time is unknown

54,000,000 = 73,000,000(1 - 0.017)^t

Divide both sides by 73,000,000

54,000,000/73,000,000 = (0.983)^t

0.7397260274 = (0.983)^t

Take the logarithm of both sides

log 0.7397260274 = Log (0.983)^t

log 0.7397260274 =t log (0.983)

t = log 0.7397260274/log 0.983

t = -0.13092910029/-0.00744648216

t = 17.5826783005 years

Approximately = t = 17.6 years

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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