At the end of three years she would have $4,960. (4,000+960)
From all the calculations i did, it seems somewhere between .66% and .67% is the interest rate because it comes close to the 960 amount. but i dont know for sure.
(im using the .66% percent for this last question) so first i added the 1% to the .66% so that makes 1.66%. you then would multiple that percent by 4,000 so it sums up 66.4. multiple 66.4 by 36 (3 years is 36 months) and you get 2,390.40 you would lastly subtract 960 from 2,390.40 and get 1,430. so she would of had $1,430 more if the interest rate was 1% greater.
(I know the answers may be wrong but i know the process(steps) are correct)
For this problem, we are going to use the Remainder Theorem. This says that for to be a factor of a polynomial , then . Essentially, it says that is a factor if when you substitute into the polynomial you get a result of 0.
Thus, in our case, when we substitute into the polynomial, we should get an answer of 0 if is a factor of the polynomial. Given this information, we can solve for :