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velikii [3]
4 years ago
12

Which of the following is an equivalent function to the function below? f(x) = 30(1.03)3x f(x) = 30(3.0900)x f(x) = 30(1.0927)x

f(x) = 10(1.0927)x f(x) = 10(3.0900)x
Mathematics
1 answer:
Archy [21]4 years ago
6 0

Given function : f(x) = 30(1.03)^{3x}.

We need to find the equivalent function to the given function.

30(1.03)^{3x} could be written as 30(1.03^3)^{x}.

1.03^3=1.092727

So, we can round 1.092727 to 1.0927.

Replacing 1.03^3 by 1.0927 in 30(1.03^3)^{x}, we get

f(x) = 30(1.0927)^{x}.

<h3>Therefore, f(x) = 30(1.0927)^{x} is an equivalent function to the f(x) = 30(1.03)^{3x}.</h3>
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