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)

Question

3 years ago

12

x f(x) = 600(1.05)x f(x) = 4.2(1.05)x

2 answers:

aksik [14] · Answer 1 · 2022-05-06T22:18:47+03:00

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] · Answer 2 · 2022-05-06T20:24:56+03:00

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