The controller (money manager) for a small company puts some money in a bank account paying

2%

per year. He uses some additionalmoney, amounting to

13

the amount placed in the bank, to buy bonds paying

3%

per year. With the balance of the funds, he buys a

8%

certificate of deposit. The first year the investments bring a return of

$524.

If the total of the investments is $10,000 how much is invested at each rate?