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stellarik [79]
3 years ago
12

which of the following is an equivalent function to the function below? f(x) = 50(1.05)12x f(x) = 50(1.7959)x f(x) = 50(12.6000)

x f(x) = 600(1.05)x f(x) = 4.2(1.05)x
Mathematics
2 answers:
aksik [14]3 years ago
7 0

Answer:

The equivalent function is f(x)=50(1.7959)^{x}

Step-by-step explanation:

We have been given the function  f(x)=50(1.05)^{12x}

and we have to find an equivalent function. In order to find the same first of all  we can use the below exponent property.

x^{ab} = (x^{a})^b

Using the above property the given function will become,

 f(x)=50(1.05)^{12x}=50((1.05)^{12})^x

Now (1.05)^{12}=1.7959

So, the equivalent function is f(x)=50(1.7959)^{x}

Thus, Option (1) is correct.




dmitriy555 [2]3 years ago
3 0
Hello,

Since 1.05^12=1,795856326022129150390625≠1.7959

50*1.05^(12x)=50*((1.05^^12)^x)=50*1.759^x

Answer A


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