Donna invested 33,000 bonus an received a total of 970 in interest after one year. If part of the money returned 4% and the remainder 2.25% then how much did she invest at each rate?

1 Answer
Nov 13, 2015

Let X_(4%)X4% be the amount invested at 4%. Then, 33000-X_(4%)33000X4% will be the amount invested at 2.25%

Explanation:

Here is the equation that will solve for X_(4%)X4%

(0.04)(X_(4%))+(0.0225)(33000-X_(4%))=970(0.04)(X4%)+(0.0225)(33000X4%)=970

Now, solve for X_(4%)X4%:

X_(4%)=13000X4%=13000

Amount invested at 2.25%:
33000-X_(4%)=2000033000X4%=20000

Hope that helped