SOLUTION: PROBLEM 1 A total of $25,000 is invested in two funds paying 4% and 4.5% simple interest. The annual interest is $1060. How much is invested in each fund? PROBLEM 2 Find the d

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: PROBLEM 1 A total of $25,000 is invested in two funds paying 4% and 4.5% simple interest. The annual interest is $1060. How much is invested in each fund? PROBLEM 2 Find the d      Log On

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Question 430859: PROBLEM 1
A total of $25,000 is invested in two funds paying 4% and 4.5% simple interest. The annual interest is $1060. How much is invested in each fund?
PROBLEM 2
Find the dimensions of the rectangle meeting the specified conditions.
Perimeter Condition
360 inches The width is 40 inches less than the length.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Part I 4.00% per annum
Part II 4.50% per annum

x+y=25000 ------------------------1
4.00%x+4.50%y=$1,060.00
Multiply by 100
4x+4.5y=$106,000.00 --------2

Multiply (1) by -4
we get

-4x-4y=-100000.00

Add this to (2)

0.5y=$6,000.00

divide by0.5

y=$12,000.00 investment at 4.50%
Balance $13,000.00 investment at 4.00%
...............
Length = l
width =l-40
perimeter = 2*(l+w)
Perimeter = 2(l+l-40)
Perimeter = 4l-80
360= 4l-80
4l=440
l=110 in
width = 70 in