The controller $($money manager$)$ for a small company puts some money in a bank account paying $3\%$ per year. He uses some additional money, amounting to $\frac{1}{3}$ the amount placed in the bank, to buy bonds paying $4\%$ per year. With the balance of the funds, he buys a $8\%$ certificate of deposit. The first year the investments bring a return of $$572.$ If the total of the investments is $$10,000$ how much is invested at each rate?

The amount in the bank account is $ $$ the amount in the bonds is $ $$ and the amount in the certificate of deposit is $ $$