# 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?

Nov 13, 2015

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

#### Explanation:

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

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

Now, solve for X_(4%):

X_(4%)=13000

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

Hope that helped