Answer:

Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
Let
y-------> the interest earned on an account
x------> the balance in the account
step 1
Find the constant k of proportionality
For 

substitute the values

The equation is

step 2
Find the amount of interest earned on an account with a balance of $500
so
For
substitute in the equation and solve for y

It's essentially asking for the value of y on the graph of function f(x) when x is equal to -4.
Graphically, we can see that when x = -4, y would be 1.
If you had to do this algebraically with an equation for the function, just slot the value of -4 in for x, to find the value for y.

therefore, the sum of this infinite geometric series can be calculated using the formula
.
So, 
If 2 is the sum of this infinite series, then you'll never reach it.

Let

so that

. Then the integral becomes