Question 1196839: You have 50000 to invest. Some of your money will be put in a 5% per annual your ranted investment a rikkiey investment a 10% per annual.if you hope to earn $4000 in investment at the end of one year how much money should he invest in each investment?
Found 2 solutions by ewatrrr, greenestamps:
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi
Previously Posted
IF...
$50,000 some at 10% per annual, rest at 5%
x the amount invested at 10%
.10x + .05($50000 -x) = $4000
x = = 30,000 at 10% and 20,000 at 5%
Answer by greenestamps(13209)  (Show Source):
You can put this solution on YOUR website!
(1) A typical formal algebraic setup for solving the problem....
x = amount invested at 5%
50000-x = amount invested at 10%
The total earnings are $4000:
Basic algebra from there; I'll let you finish.
(2) An informal solution (quick and easy, if a formal algebraic solution is not required)....
$4000 earnings on an investment of $50,000 is a rate of 8%.
8% is 3/5 of the way from 5% to 10% (view the three percentages on a number line if it helps....)
That means 3/5 of the total should be invested at the higher rate.
ANSWER: 3/5 of $50,000, or $30,000, at 10%; the other $20,000 at 5%
CHECK: .10(30000)+.05(20000) = 3000+1000 = 4000
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