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.

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2