Answer:

Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
The slope can be found from two points.

The two points from the graph are (1, 9) and (2, 12).
Plugging in the values and evaluating.



The slope of the line is 3.
The y-intercept of the line is where the line cross the y-axis.
The line crosses the y-axis at (0, 6).

The slope-intercept form of the line is:

The answer is c hope this helps
This is a compound interest problem, therefore s(t) should be in the form:

where:
t = time in years
s(t) = the value of your item after t years
a = the initial value of your item
r = rate
Therefore, we already know that a = 245$.
Now, we can calculate r:

![r = \sqrt[t]{ \frac{s}{a} }](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5Bt%5D%7B%20%5Cfrac%7Bs%7D%7Ba%7D%20%7D%20)
![r = \sqrt[5]{ \frac{560.50}{245} }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B5%5D%7B%20%5Cfrac%7B560.50%7D%7B245%7D%20%7D%20)
= 1.18
Therefore, the correct answers are
a = 245 and
r = 1.18
Answer:
It will take 55 years for the account value to reach 38200 dollars
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
.
In this problem, we ahve that:

So
First we find how much we have to earn in interest.
.


How much time to earn this interest?




Rounding up
It will take 55 years for the account value to reach 38200 dollars