A machine can lift a weight of 10 kg on the first day. The weight it can lift increases by 20 percent each day. How much weight can the machine lift on the fifth day? Round your answer to two decimal places. (1 point)
On the first day, the machine can lift 10 kg.
On the second day, the weight it can lift is 10 kg + 0.20(10 kg) = 10 + 2 = 12 kg.
On the third day, the weight it can lift is 12 kg + 0.20(12 kg) = 12 + 2.4 = 14.4 kg.
On the fourth day, the weight it can lift is 14.4 kg + 0.20(14.4 kg) = 14.4 + 2.88 = 17.28 kg.
On the fifth day, the weight it can lift is 17.28 kg + 0.20(17.28 kg) = 17.28 + 3.456 = 20.736 kg.
Therefore, the machine can lift 20.74 kg on the fifth day.