Answer:
8 years
Step-by-step explanation:
Compound interest formula

A(t) is the final amount 55000
A_0= 40000, r= 4% = 0.04, for quarterly n=4

divide both sides by 40000


Take ln on both sides

divide both sides by ln(1.01)

Divide both sides by 4
t=8.00108
So it takes 8 years
I think this is the Domain. Since a domain is a group of numbers that can be entered in a function to create a valid output. They are set of all possible values of x which will satisfy a ffunction and output real y-values
Answer: FIrst option, Fourth option and Fifth option.
Step-by-step explanation:
First it is important to know the definition of "Dilation".
A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.
If the length of CD is dilated with a scale factor of "n" and it is centered at the origin, the length C'D' will be:

Therefore, knowing this, you can determine that:
1. If
, you get:

2. If
, then the length of C'D' is:

3. If
, then:

4. If
, then, you get that the lenght of C'D' is:

5. If
, the length of C'D' is the following:
