Question

Santiago receives ​$179

Answer 1

9514 1404 393

Answer:

• $400 at 2%
• $900 at 3%
• $3600 at 4%

Step-by-step explanation:

Let x represent the amount invested at 3%. Then (x -500) is the amount invested at 2%, and 4x is the amount invested at 4%. The total interest income is ...

  0.02(x -500) + 0.03x + 0.04(4x) = 179

  0.21x -10 = 179 . . . . . simplify

  0.21x = 189 . . . . . . . . add 10

  x = 900 . . . . . . . . . . . divide by 0.21

  x -500 = 400

  4x = 3600

$400 is invested at 2%; $900 is invested at 3%, $3600 is invested at 4%.