Question 906088
Total amount of money invested: $11000
x+y=11000,
Total yearly interest for the two accounts is: $482.5
0.035*x+0.05*y=482.5
x=11000-y
Substitute for x
0.035*(11000-y)+0.05*y=482.5
Multiply out
385.0-0.035y+0.05*y=482.5
Combine like terms.
0.015*y=97.5
Isolate y
y=$ 6500.00 at 5%
x=11000-y
Calculate x
x=$ 4500.00 at 3.5%
Check
0.035*4500+0.05*6500=482.5
157.5+325=482.5
482.5=482.5
If this statement is TRUE and neither amount is negative then all is well