Tereka and Emma each deposit money in savings accounts. The amount of money, in dollars, in Tereka’s account after x years is modeled by the function T(x) = 472(1.04)x. The amount of money, in dollars, in Emma’s account after x years is modeled by the function E(x) = 485(1.09)x. What is the difference between the initial amounts Tereka and Emma deposit?

Given:

Amount of money in Tereka’s account :

Amount of money in Emma’s account :

To find:

The difference between initial amounts Tereka and Emma deposit.

Solution:

Substitute x=0 in the given functions, to get the initial amount of money they deposit.

So, the initial amount Tereka deposit is $472.

So, the initial amount Emma deposit is $485.

Difference between the initial amounts Tereka and Emma deposit is

Therefore, the difference between initial amounts Tereka and Emma deposit is $13. Emma deposit $13 more than Tereka.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

7

step-by-step explanation: