To solve this we are going to use the simple interest formula:

where

is the final amount after

years

is the initial amount

is the interest rate in decimal form

is the time in years
A. We now form our problem that her initial savings were $4000. Since she earned $960 in interest after 3 years, her final amount will be his initial savings plus the interest hat she earned:


We can conclude that she will have $4960 in her account at the end of three years.
B. We know for our problem that

, and

. We also know that the account earned $960 in interest, so

. Let

represent the interest rate; since the interest rate should be in decimal form,

. Lets replace all the values in our formula to find

:
![4960=4000[1+(0.01x)(3)]](https://tex.z-dn.net/?f=4960%3D4000%5B1%2B%280.01x%29%283%29%5D)





We can conclude that the account growth by an <span>annual simple interest rate of 8%
</span>
C. if the interest rate were 1% greater, our new

is going to be

. But remember that the interest rate should by in decimal form, so we are going to divide 9% by 100%:


We also know that the conditions are the same as before, so

and

. Lets replace all our values in our formula to find

:
![A=4000[1+(0.09)(3)]](https://tex.z-dn.net/?f=A%3D4000%5B1%2B%280.09%29%283%29%5D)



We can conclude that she will have

$ more in her account <span>if the interest rate were 1% greater.</span>