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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%)# 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

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