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?
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Donna invested her $33,000 bonus and received a total of $970 in interest after 1 year. If part of her money returned 4% and the remainder 2.25% then how much did she invest at each rate?
:
Let x = amt invested at 4%
:
The total invested was given as 33000, therefore:
(33000-x) = amt invested at 2.25%
:
Int at 4% + int at 2.25% = $970
.04x + .0225(33000-x) = 970
:
.04x + 742.5 - .0225x = 970
:
.04x - .0225x = 970 - 742.5
:
.0175x = 227.5
x = 
x = $13,000 invested at 4%
and
33000 - 13000 = $20,000 invested at 2.25%
:
:Let = amount invested @ 4%
Let = amount invested @ 2.25%









She invested $13,000 at 4% and $20,000 at 2.25%
check answer:




OK
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