Step 1 :Let's denote the amount invested in CDs as x, the amount invested in bonds as x + 15000, and the amount invested in stocks as 95000 - x - (x + 15000).
Step 2 :We know that the total interest earned is $4620. We can set up an equation to represent this: \(0.03x\) (interest from CDs) + \(0.04(x + 15000)\) (interest from bonds) + \(0.096(95000 - x - (x + 15000))\) (interest from stocks) = 4620.
Step 3 :Solving this equation gives us the value of x, which represents the amount invested in CDs.
Step 4 :Substituting x into the expressions for the amounts invested in bonds and stocks gives us the respective amounts.
Step 5 :Final Answer: The amount invested in CDs is \(\boxed{\$30000}\), in bonds is \(\boxed{\$45000}\), and in stocks is \(\boxed{\$20000}\).