If an actor invests some money at 9% and 29000 more than four times the amount at 11%, the total annual interest earned from the investment is 55130. In order to calculate how much he invested at each rate, we can use the following equation:
Interest = (Principal at 9%) * 0.09 + (Principal at 11%) * 0.11
Therefore, the Principal at 9% = (55130 / 0.09) = 61255.55 and the Principal at 11% = (55130 / 0.11) = 50118.18.
Therefore, the actor invested 61255.55 at 9% and 50118.18 at 11%.