Rick invested $10,000, part at 10% and part at 12%. If the total interest at the end of the year is $1,100, h

Question

Rick invested $10,000, part at 10% and part at 12%. If the total interest at the end of the year is $1,100, how much did he invest at 10%?

Answer 1

[13]
If he invests the full amount of $10,000 at 10% ,he gets an annual interest of $1000
But it is $100 less than what he actually gets
This happens because he had invested some anount at 12%,where
He receives $2 more for every $100 invested
Therefore he has invested 100*100/2 or $5000 at 12%
If ,however,you want to solve the problem algebrically,here is the solution
Let him invest $x at 10% and the remaining 10000-x at 12%
By the problem
0.10x+0.12(10000-x)=1100
0.10x+1200-0.12x=1100
-0.02x=1100-1200= -100
x= -100/-0.02=5000
Therefore he had invested $5000 at 10% and the remaining $5000 at 12%

Answer 2

10%x + 12%(10000 -- x) = 1100
=> 2x = 10000 => x = 5000
10000 -- 5000 = 5000
$5000 @ 10% and $5000 @ 12% gave $1100.

Answer 3

Hello,

Let t = amt. invested at 10%
Let w = amt. invested at 12%

Then t + w = 10000
and 10%t + 12%w = 1100

Now multiply the second equation by 100 to clear it of fractions.

Giving us 10t + 12w = 110000
Now divide by 2 and we have 5t + 6w = 55000
Okay multiply the first equation by -5 we have
-5t -5w = -50000

Add the two above equations then we have

w = $5000
Then t = $5000

Hope This Helps!!

Answer 4

ok first each and every baby has heard of the human centipede such countless say that they have watched it whilst they have been given freaked by the trailer. it is not ideal for a baby of 10 that's an 18 for a reason. And it may influence your baby's psychological well being state and progression greater beneficial than you are going to be able to think of. i would not advise all and sundry watch it not to point a 10 365 days previous

Answer 5

amount invested:
10%: x
12%:10000-x

total interest = 1100
10%x +12% (10000-x) = 1100
10%x + 1200 - 12%x = 1100
2%x = 100
2x = 10000
x = 5000

So, amount invested at 10% is $5000!!!